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Tytuł:
Wave propagation in nonlocal orthotropic micropolar elastic solids
Autorzy:
Tung, D. X.
Powiązania:
https://bibliotekanauki.pl/articles/38626486.pdf
Data publikacji:
2021
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
dispersion equation
nonlocal micropolar
local micropolar
orthotropic
Opis:
The presented paper is concerned with the propagation of Rayleigh waves in an orthotropic nonlocal micropolar elastic half-space. The main aim of the paper is to derive dispersion equations of Rayleigh wave as well as Stroh formalism for the orthotropic nonlocal micropolar medium. Based on the obtained dispersion equation, the effect of material, nonlocality parameter on the Rayleigh wave propagation is considered through some numerical examples.
Źródło:
Archives of Mechanics; 2021, 73, 3; 237-251
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fundamental solution in micropolar viscothermoelastic solids with void
Autorzy:
Kumar, R.
Sharma, K. D.
Garg, S. K.
Powiązania:
https://bibliotekanauki.pl/articles/265845.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
micropolar thermodiffusion
steady oscillations
visothemoelastic
micropolar with void
drgania
termosprężystość
funkcje elementarne
Opis:
In the present article, we construct the fundamental solution to a system of differential equations in micropolar viscothermoelastic solids with voids in case of steady oscillations in terms of elementary functions. Some basic properties of the fundamental solution are also established.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 1; 109-125
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling of lubrication mechanism in human joints using micropolar fluid theory
Autorzy:
Kucaba-Piętal, A.
Powiązania:
https://bibliotekanauki.pl/articles/280291.pdf
Data publikacji:
1999
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
synovial fluid
micropolar fluid
human joints
Opis:
The paper aims at presentation of modelling of human joints withinthe framework micropolar fluid theory. A mathematical model of two converging spheres represents the biobearings. In the model the boundaries of the spheres are considered to be rigid and the lubricant (synovial fluid) is represented by a micropolar fluid. Basing on the asymptotic solution obtained for squeezing motion of converging spheres (Kucaba-Piętal, 1999), the velocity vector in a gap is determined and asymptotic values of the forceare calculated. The effects or rheological constants variation on the flow field in a gap are disscussed.
Przedmiotem pracy jest opis smarowania w stawach na bazie teorii płynów mikropolarnych. Rozpatrywany jest ruch ciśnieniowy (squeezing). Staw (biodrowy) modelowany jest za pomocą układu dwóch kul o twardych powierzchniach. Zakłada się, że przepływ opisany jest równaniem Stokesa. Na bazie rozwiązania asymptotycznego obliczono rozkład prędkości w szczelinie stawowej oraz wartość działającej asyptotycznie siły. Stałe reologiczne mazi stawowej oszacowano na podstawie danych eksperymentalnych.
Źródło:
Journal of Theoretical and Applied Mechanics; 1999, 3; 593-606
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of initial stress and gravity field on micropolar thermoelastic solid with microtemperatures
Autorzy:
Othman, M. I. A.
Tantawi, R. S.
Hilal, M. I. M.
Powiązania:
https://bibliotekanauki.pl/articles/949315.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
gravity
initial stress
micropolar thermoelasticity
microtemperatures
Opis:
The purpose of the present article is the study of the effect of the gravity field on an initially stressed micropolar thermoelastic medium with microtemperatures. The analytical method used to obtain the formula of the physical quantities is the normal mode analysis. The comparisons are established graphically in the presence and the absence of gravity, initial stress and micropolar thermoelasticity. The main conclusions state that the gravity, initial stress and the micropolar thermoelasticity are effective physical operators on the variation of the physical quantities. The microtemperatures are very useful theory in the field of geophysics and earthquake engineering.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 3; 847-857
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Micropolar plates subject to a normal polyharmonic loading
Autorzy:
Jemielita, G.
Powiązania:
https://bibliotekanauki.pl/articles/281897.pdf
Data publikacji:
2001
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Grioli-Toupin material
micropolar plates
polyharmonic loading
Opis:
Following the previously published considerations the present paper aims at determination of a displacement vector and infinitesimal rotation vector describing the bending of the Grioli-Toupin plate subject to a normal polyharmonic loading. The presented biharmonic representation reduces the problem of equilibrium of a such a plate to a non-homogeneous biharmonic equation involving a function of a plate deflection. A semi-inverse method in an explicit form has been obtained together with relationships for force and moment stresses. Formulas for determination of the functions... and... of the variable... and coefficient... in a recurrent form have been given as well.P
Poliharmoniczne obciążenia płyt mikropolarnych. W niniejszej pracy (korzystając z wcześniej opublikowanych rozważań) wyznaczono przedstawienie wektora przemieszczenia i infinitezymalnego obrotu, opisujące zginanie płyty wykonanej z materiału Grioli-Toupina wywołane obciążeniem normalnym poliharmonicznym. Przedstawiona reprezentacja biharmoniczna sprowadza zagadnienie równowagi takiej płyty do rozwiązania niejednorodnego równania biharmonicznego na funkcję przedstawiającą ugięcie płyty. Metodą półodwrotną uzyskano wzory na naprężenia siłowe i momentowe w postaci jawnej. Podano też, w postaci rekurencyjnej, wzory na poszukiwane funkcje... , ... zmiennej... oraz współczynników... .
Źródło:
Journal of Theoretical and Applied Mechanics; 2001, 39, 4; 959-968
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pressure and capacity force in slide journal plane bearing lubricated oil with micropolar structure
Autorzy:
Krasowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/950089.pdf
Data publikacji:
2009
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
micropolar lubrication
journal plane bearing
hydrodynamic pressure
Opis:
Present paper shows the results of numerical solution Reynolds equation for laminar, steady oil flow in slide plane bearing gap. Lubrication oil is fluid with micropolar structure. Properties of oil lubrication as of liquid with micropolar structure in comparison with Newtonian liquid, characterized are in respect of dynamic viscosity additionally dynamic couple viscosity and three dynamic rotation viscosity. Under regard of build structural element of liquid characterized is additionally microinertia coefficient. In modelling properties and structures of micropolar liquid one introduced dimensionless parameter with in terminal chance conversion micropolar liquid to Newtonian liquid. The results shown on diagrams of hydrodynamic pressure in dimensionless form in dependence on coupling number N and characteristic dimensionless length of micropolar fluid A1. Presented calculations are limited to isothermal models of bearing with inflnite breadth. Especially, geometry schema of the slide Journal plane bearing gap, the dimensionless pressure distributions p1 in dependence on coupling number N2, the dimensionless pressure distributions p1 in dependence on characteristic dimensionless length of micropolar fluid, the dimensionless maximal pressure p1m in dependence on coupling number N, gap convergence coefficient are presented in the paper.
Źródło:
Journal of KONES; 2009, 16, 2; 247-253
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
MHD flow and heat transfer of a micropolar fluid over a stretchable disk
Przepływ magnetohydrodynamiczny oraz przewodzenie ciepła w cieczy mikropolarnej opływającej rozciągliwy dysk
Autorzy:
Ashraf, M.
Batool, K.
Powiązania:
https://bibliotekanauki.pl/articles/949183.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
magnetohydrodynamics (MHD)
micropolar fluids
heat transfer
stretchable disk
Opis:
A numerical study of an axisymmetric steady laminar incompressible flow of an electrically conducting micropolar fluid over a stretchable disk is carried out when the fluid is subjected to an external transverse magnetic field. The governing nonlinear equations of motion are transformed into a dimensionless form through Von Karman’s logic similarity functions. An algorithm based on a finite difference scheme is used to solve the reduced coupled nonlinear ordinary differential equations with the associated boundary conditions. Effects of the micropolar parameters, the magnetic parameter and the Prandtl number on the flow velocity and temperature distribution are discussed. Investigations predict that the heat transfer rate at the surface of the disk increases with an increase in the values of micropolar parameters. The magnetic field enhances the shear and couple stresses. The shear stress factor is lower for micropolar fluids as compared to Newtonian fluids, which may be beneficial in flow and heat control of polymeric processing.
W pracy zaprezentowano wyniki badań numerycznych nad osiowo-symetrycznym, laminarnym i ustalonym opływem elektrycznie przewodzącej cieczy mikropolarnej wokół rozciągliwego dysku przy jednoczesnym oświetleniu cieczy polem magnetycznym. Nieliniowe równanie ruchu opływu sprowadzono do postaci bezwymiarowej za pomocą funkcji podobieństwa von Karmana. Do rozwiązania uproszczonych, sprzężonych i nieliniowych równań różniczkowych zwyczajnych z towarzyszącymi warunkami brzegowymi użyto algorytmu opartego na metodzie różnic skończonych. Przedyskutowano wpływ parametrów mikropolarności, wartości pola magnetycznego oraz liczby Prandtla na rozkład prędkości i temperatury cieczy. Według badań, tempo przepływu ciepła na powierzchni dysku wzrasta z rosnącymi wartościami parametrów mikropolarności. Dodatkowo, obecność pola magnetycznego powiększa naprężenia ścinające i momentowe. Wartość naprężeń ścinających jest mimo to mniejsza dla cieczy mikropolarnej niż dla newtonowskiej, co może być korzystne w monitorowaniu przepływu i transferu ciepła podczas procesu obróbki polimerów.
Źródło:
Journal of Theoretical and Applied Mechanics; 2013, 51, 1; 25-38
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stokes flow of an incompressible micropolar fluid past a porous spheroidal shell
Autorzy:
Iyengar, T.
Radhika, T.
Powiązania:
https://bibliotekanauki.pl/articles/202342.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Stokes flow
incompressible micropolar fluid
porous spheroidal shell
Opis:
Consider a pair of confocal prolate spheroids S0 and S1 where S0 is within S1. Let the spheroid S0 be a solid and the annular region between S0 and S1 be porous. The present investigation deals with a flow of an incompressible micropolar fluid past S1 with a uniform stream at infinity along the common axis of symmetry of the spheroids. The flow outside the spheroid S1 is assumed to follow the linearized version of Eringen’s micropolar fluid flow equations and the flow within the porous region is assumed to be governed by the classical Darcy’s law. The fluid flow variables within the porous and free regions are determined in terms of Legendre functions, prolate spheroidal radial and angular wave functions and a formula for the drag on the spheroid is obtained. Numerical work is undertaken to study the variation of the drag with respect to the geometric parameter, material parameter and the permeability parameter of the porous region. An interesting feature of the investigation deals with the presentation of the streamline pattern.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 1; 63-74
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Heat flow through a thin cooled pipe filled with a micropolar fluid
Autorzy:
Beneš, M.
Pažanin, I.
Suárez-Grau, F. J.
Powiązania:
https://bibliotekanauki.pl/articles/279970.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
pipe flow
heat conduction
micropolar fluid
asymptotic analysis
Opis:
In this paper, a non-isothermal flow of a micropolar fluid in a thin pipe with circular cross- -section is considered. The fluid in the pipe is cooled by the exterior medium and the heat exchange on the lateral part of the boundary is described by Newton’s cooling condition. Assuming that the hydrodynamic part of the system is provided, we seek for the micropolar effects on the heat flow using the standard perturbation technique. Different asymptotic models are deduced depending on the magnitude of the Reynolds number with respect to the pipe thickness. The critical case is identified and the explicit approximation for the fluid temperature is built improving the known result for the classical Newtonian flow as well. The obtained results are illustrated by some numerical simulations.
Źródło:
Journal of Theoretical and Applied Mechanics; 2015, 53, 3; 569-579
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Propagation and reflection of magneto-elastic plane waves at the free surface of a rotating micropolar fibre-reinforced medium with voids
Autorzy:
Anya, Augustine Igwebuike
Khan, Aftab
Powiązania:
https://bibliotekanauki.pl/articles/279185.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
rotation
micropolar fibre-reinforced
voids
reflection coefficients
magnetic field
Opis:
This work investigates rotational effects on propagation and reflection of waves at the free surface of a micropolar fibre-reinforced medium with voids under magnetic fields. When the P-wave is incident on the free surface, there exist four coupled reflected plane waves traveling in the medium; quasi-longitudinal displacement (qLD) wave, quasi-transverse displacement (qTD) wave, quasi-transverse microrotational (qTM) wave and a wave due to voids. Normal mode analysis is adopted in concomitant with Snell’s laws, and appropriate boundary conditions in determination of the solution. Amplitude ratios which correspond to reflected waves in vertical and horizontal components are presented analytically and graphically.
Źródło:
Journal of Theoretical and Applied Mechanics; 2019, 57, 4; 869-881
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics
Autorzy:
Dyszlewicz, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/1339178.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stress equations of motion problem (SEMP)
micropolar elasticity theory
Opis:
A second axially-symmetric initial-boundary value problem of linear homogeneous isotropic micropolar elastodynamics in which the displacement and rotation take the forms $\underline{u}=(0,u_θ,0)$, $\underline{φ}=(φ_r,0,φ_z)$ ((r,θ,z) are cylindrical coordinates; cf. [17]) is formulated in a pure stress language similar to that of [12]. In particular, it is shown how $\underline{u}$ and $\underline{φ}$ can be recovered from a solution of the associated pure stress initial-boundary value problem, and how a singular solution corresponding to harmonic vibrations of a concentrated body couple in an infinite space can be obtained from the solution of a pure stress problem.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 251-265
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On homogenized model of periodic stratified micropolar elastic composites
O homogenizowanym modelu periodycznych warstwowych sprężystych kompozytów mikropolarnych
Autorzy:
Matysiak, S. J.
Powiązania:
https://bibliotekanauki.pl/articles/279699.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
micropolar elasticity
displacement
rotation
periodically layered composite
homogenized model
Opis:
The paper deals with modelling problems of periodic stratified composites with micropolar elastic components. By using the linear theory of micropolar elasticity and the homogenization method with microlocal parameters, a homogenized model accounting certain local effects of stresses and coupled stresses is derived. From the obtained model, systems of equations for the "first" and the "second" plane state of strain of the layered composites are presented.
Praca dotyczy zagadnień modelowania periodycznych warstwowych kompozytów o składnikach mikropolarnych. Wykorzystując liniową teorię mikopolarnej sprężystości i metodę homogenizacji z parametrami mikrolokalnymi wyprowadzono model homogenizowany uwzględniający pewne efekty lokalne w naprężeniach i naprężeniach momentowych. Z otrzymanego modelu otrzymano układy równań dla" pierwszego" i "drugiego" płaskiego stanu odkształcenia dla periodycznie warstwowych kompozytów mikropolarnych.
Źródło:
Journal of Theoretical and Applied Mechanics; 2005, 43, 4; 789-804
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Flow past a sphere moving towards a wall in micropolar fluid
Autorzy:
Kucaba-Piętal, A.
Powiązania:
https://bibliotekanauki.pl/articles/280222.pdf
Data publikacji:
1999
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
non-Newtonian fluid
collocation method
Stokes flow
micropolar fluid
Opis:
The paper presents the first "exact" solution to the problem of creeping flow past a sphere mowing towards a wall in micropolar fluid. The analytical-numerical method is presented, that is a development of the boundary collocation technique previously used for solving many corresponding problems for a Newtonian fluid. The initial study of the method has been carried out and the results for a force acting on a sphere compared with their counterparts for a Newtonial fluid are presented. It is worth while to note that the drag force on a sphere depends on material constants of the micropolea fluid and the distance from the wall.
Rozwiązane zostało zagadnienie wyznaczenia pola przepływu i działającej siły na cząstkę kulistą poruszającą się w kierunki ścianki w płynie mikropolarnym. Skonstruowano metodę analityczno-- --numeryczną w oparciu o metodę kolokacji. Rozpatrzono przepływ quasistacjonarny w przybliżeniu Stokesa.
Źródło:
Journal of Theoretical and Applied Mechanics; 1999, 2; 301-318
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of Micropolar Fluid in a Porous Medium Provoked by Heat Function and Radiation
Autorzy:
Nwabuzor, P. O.
Ngiangia, A. T.
Chukwuocha, E. O.
Powiązania:
https://bibliotekanauki.pl/articles/1076558.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Electroconductivity
Heat Function
Micropolar Fluid
Rayleigh
Stability
Wave Number
Opis:
The stability of micropolar fluid flow in a channel under the influence of heat function, magnetic field and radiation was investigated. Using the similarity solution and non-dimensionalizing, the governing partial differential equations (PDEs) where transformed to a set of non-linear differential equations (ODEs). We therefore perturbed the system and determined the stability of the system. Wolfram 9 software (Mathematica) was used to analyze the various stability effect of the material parameters on the fluid flow. The graphical results reflects the expected physical behavior of the flow configuration under consideration. The study reveals that the Prandtl (Pr), wave (a), Radiation (R) and heat function parameters at a certain critical value of the wave number hastens the onset of stability. While the Electroconductivity (σ), Magnetic field (M), Micropolar (K) and Microrotational (λ) parameters delays the onset of stability. The result are in agreement with the works of other literature sited.
Źródło:
World Scientific News; 2019, 115; 174-192
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chebyshev Spectral Collocation Method to Micropolar Fluid Flow through a Porous Channel driven by Suction/Injection with High Mass Transfer
Autorzy:
Jayesimi, L. O.
Sobamowo, M. G.
Akinshilo, A. T.
Waheed, M. A.
Powiązania:
https://bibliotekanauki.pl/articles/1030143.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Chebyshev spectral collocation method
Mass Transfer
Micropolar fluids
Porous media
Opis:
This paper presents the application of Chebyshev spectral collocation method to flow analysis of a micropolar fluid conveyed through porous channel driven by suction or injection with high mass transfer. Effects of flow and rotation parameters such as Reynolds number and micro rotation parameters on the flow characteristics of the micropolar fluid are investigated using the developed approximate analytical solutions through the method. Comparing the results of the numerical solutions obtained in this study with the other results of the other methods in literature, very good agreements are established. The results obtained from this work can be used to further the study of the behavior of micropolar fluids in applications such as lubricants, blood flow porous media, micro channels and flow in capillaries.
Źródło:
World Scientific News; 2020, 143; 39-52
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Study of circular crested waves in a micropolar porous medium possessing cubic symmetry
Autorzy:
Kumar, R.
Panchal, M.
Powiązania:
https://bibliotekanauki.pl/articles/202328.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
cubic crystal
micropolar
porous
phase velocity
attenuation coefficient
frequency equation
Opis:
The paper is concerned with the propagation of circular crested Lamb waves in a homogeneous micpropolar porous medium possessing cubic symmetry. The frequency equations, connecting the phase velocity with wave number and other material parameters, for symmetric as well as antisymmetric modes of wave propagation are derived. The amplitudes of displacement components, microrotation and volume fraction field are computed numerically. The numerical results obtained have been illustrated graphically to understand the behavior of phase velocity and attenuation coefficient versus wave number of a wave.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 1; 103-110
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Study of axi-symmetric vibrations in a micropolar transversely isotropic layer
Autorzy:
Gupta, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/947327.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fala symetryczna
anizotropia
fala akustyczna
micropolar
transversely isotropic
amplitude ratios
Opis:
The present investigation deals with the propagation of circular crested Lamb waves in a homogeneous micropolar transversely isotropic medium. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and microrotation are computed numerically for magnesium as a material and the dispersion curves, amplitudes of displacements and microrotation for symmetric and skew-symmetric wave modes are presented graphically to evince the effect of anisotropy. Some special cases of interest are also deduced.
Źródło:
International Journal of Applied Mechanics and Engineering; 2019, 24, 2; 259-268
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On wave propagation in a random micropolar generalized thermoelastic medium
Autorzy:
Mitra, M.
Bhattacharyya, R. K.
Powiązania:
https://bibliotekanauki.pl/articles/240685.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
waves
random
micropolar
thermoelastic
propagation
fale
przypadkowy
mikropolar
termoelastyczny
propagacja
Opis:
This paper endeavours to study aspects of wave propagation in a random generalized-thermal micropolar elastic medium. The smooth perturbation technique conformable to stochastic differential equations has been employed. Six different types of waves propagate in the random medium. The dispersion equations have been derived. The effects due to random variations of micropolar elastic and generalized thermal parameters have been computed. Randomness causes change of phase speed and attenuation of waves. Attenuation coefficients for high frequency waves have been computed. Second moment properties have been briefly discussed with application to wave propagation in the random micropolar elastic medium. Integrals involving correlation functions have been transformed to radial forms. A special type of generalized thermo-mechanical auto-correlation functions has been used to approximately compute effects of random variations of parameters. Uncoupled problem has been briefly outlined.
Źródło:
Archives of Thermodynamics; 2017, 38, 2; 21-60
1231-0956
2083-6023
Pojawia się w:
Archives of Thermodynamics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact solution for non-newtonian fluid flow beyond a contaminated fluid sphere
Autorzy:
Kunche, Vijaya Lakshmi
Meduri, Phani Kumar
Powiązania:
https://bibliotekanauki.pl/articles/38888336.pdf
Data publikacji:
2022
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
micropolar fluid
Gegenbauer function
modified Bessel’s function
stagnant cap
Opis:
Stokes flow of non-Newtonian fluid beyond a partially contaminated non-Newtonian fluid sphere with interfacial slip condition is considered. An analytic solution for the flow fields indicated by the stream function and the drag force over the sphere was obtained. Special well-known cases are reduced. It was observed that with an increase in slip parameter values, there is a rise in drag coefficient values.
Źródło:
Engineering Transactions; 2022, 70, 3; 287-299
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pressure and velocity distribution in slide journal bearing lubricated micropolar oil
Autorzy:
Krasowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/247206.pdf
Data publikacji:
2011
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
micropolar lubrication
journal bearing
hydrodynamic pressure
velocity
velocity of microrotation
Opis:
Present paper shows the results of numerical solution Reynolds equation for laminar, steady oil flow in slide bearing gap. Lubrication oil is fluid with micropolar structure. Materials engineering and tribology development helps to introduce oils with the compound structure (together with micropolar structure) as a lubricating factors. Properties of oil lubrication as of liquid with micropolar structure in comparison with Newtonian liquid, characterized are in respect of dynamic viscosity additionally dynamic couple viscosity and three dynamic rotation viscosity. Under regard of build structural element of liquid characterized is additionally microinertia coefficient. In modelling properties and structures of micropolar liquid one introduced dimensionless parameter with in terminal chance conversion micropolar liquid to Newtonian liquid. The results shown on diagrams of hydrodynamic pressure, velocity and velocity of microrotation distribution in dimensionless form in dependence on coupling number N2 and characteristic dimensionless length of micropolar fluid A1. Differences were showed on graphs in the schedule of the circumferential velocity oils after the height of the gap in the flow of the micropolar and Newtonian liquid. In presented flow, the influence of lubricating fluid inertia force and the external elementary body force field were omitted. Presented calculations are limited to isothermal models of bearing with infinite length.
Źródło:
Journal of KONES; 2011, 18, 4; 213-220
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Axi-symmetric deformation in the micropolar porous generalized thermoelastic medium
Autorzy:
Kumar, R.
Gupta, R.
Powiązania:
https://bibliotekanauki.pl/articles/199892.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
micropolar thermoelastic solid
concentrated source
microrotation vector
microinertia
volume fraction field
Opis:
In the present article we studied the thermodynamical theory of micropolar porous material and derived the equations of the linear theory of microploar porous generalized thermoelastic solid. Then the general solution to the field equations for plane axi-symmetric problem are obtained. The Laplace and Hankel transforms have been employed to study the problem, which are inverted numerically by using numerical inversion technique. An application of normal force and thermal source has been taken to show the utility of the approach. The technique developed in the present paper is simple, straightforward and convenient for numerical computation. Effect of micropolarity and porosity on the components of stress, temperature distribution and volume fraction field together with the effect of generalized theory of thermoelasticity have been depicted graphically for a specific model. Some particular cases are also deduced from the present problem.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2010, 58, 1; 129-139
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids
Autorzy:
Alharbi, Amnah M.
Abd-Elaziz, Elsayed M.
Othman, Mohamed I.A.
Powiązania:
https://bibliotekanauki.pl/articles/1955005.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
micropolar
voids
refined-phase-lags theory
thomson effect
normal mode
analysis
Opis:
The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multiphase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The nondimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, micropolar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.
Źródło:
Archives of Thermodynamics; 2021, 42, 3; 279--309
1231-0956
2083-6023
Pojawia się w:
Archives of Thermodynamics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigation of waves generated in transversely isotropic micropolar generalized thermoelastic half space under temperature dependent properties
Autorzy:
Gupta, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/264335.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
propagacja fal
termoelastyczność
naprężenia
micropolar
transversely isotropic
generalized thermoelastic
amplitude ratios
Opis:
The present study deals with the propagation of waves in a transversely isotropic micropolar generalized thermoelastic material possessing temperature dependent elastic properties. After developing the solution for LS, GL and CT theory, the phase velocities and attenuation quality factor have been obtained. The expressions for amplitudes of stresses, displacements, microratation and temperature distribution have been derived and computed numerically. The numerically evaluated results have been plotted graphically. Some particular cases of interest have also been obtained.
Źródło:
International Journal of Applied Mechanics and Engineering; 2019, 24, 4; 53-65
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pressure and velocity distribution in slide journal plane bearing lubricated with micropolar oil
Autorzy:
Krasowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/246956.pdf
Data publikacji:
2010
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
micropolar lubrication
journal plane bearing
hydrodynamic pressure
velocity
velocity of microrotation
Opis:
Present paper shows the results of numerical solution Reynolds equation for laminar, steady oil flow in slide plane bearing gap. Lubrication oil is fluid with micropolar structure. Materials engineering and tribology development helps to introduce oils with the compound structure (together with micropolar structure) as a lubricating factors. Properties of oil lubrication as of liquid with micropolar structure in comparison with Newtonian liquid, characterized are in respect of dynamic viscosity additionally dynamic couple viscosity and three dynamic rotation viscosity. Under regard of build structural element of liquid characterized is additionally microinertia coefficient. In modelling properties and structures of micropolar liquid one introduced dimensionless parameter with in terminal chance conversion micropolar liquid to Newtonian liquid. The results shown on diagrams of hydrodynamic pressure, velocity and velocity of microrotation distribution in dimensionless form in dependence on coupling number N2 and characteristic dimensionless length of micropolar fluid Lambda 1. Differences were showed on graphs in the schedule of the longitudinal velocity oils after the height of the gap in the flow of the micropolar and Newtonian liquid. In presented flow, the influence of lubricating fluid inertia force and the external elementary body force field were omitted. Presented calculations are limited to isothermal models of bearing with infinite breadth.
Źródło:
Journal of KONES; 2010, 17, 2; 249-256
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Eigen value approach to two dimensional problem in generalized magneto micropolar thermoelastic medium with rotation effect
Autorzy:
Singh, R.
Kumar, V.
Powiązania:
https://bibliotekanauki.pl/articles/265881.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
elastyczność
transformacje całkowe
magneto micropolar
thermoelasticity
eigenvalue
elasticity
integral transforms
Opis:
In this study an eigen value approach has been employed to examine the mechanical force applied along with a transverse magnetic field in a two dimensional generalized magneto micropolar thermoelastic infinite space. Results have been obtained by treating rotational velocity to be invariant. Integral transforms have been applied to solve the system of partial differential equations. Components of displacement, normal stress, tangential couple stress, temperature distribution, electric field and magnetic field have been obtained in the transformed domain. Finally numerical inversion technique has been used to invert the result in the physical domain. Graphical analysis has been done to described the study.
Źródło:
International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 205-219
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigations of shear localization in granular bodies within an anisotropic micro-polar hypoplasticity
Autorzy:
Tejchman, J.
Powiązania:
https://bibliotekanauki.pl/articles/241368.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
bedding plane
granular materials
hypoplasticity
micropolar theory
shear zone
texturial anisotropy
Opis:
The paper focuses on the numerical analysis of the effect of texturial anisotropy on shear localization in cohesionless granular materials. For simulation of the mechanical behaviour of a granular material during a monotonous deformation path, a hypoplastic constitutive model was used. To take into account a characteristic length of micro-structure, the constitutive model was extended by micro-polar terms. To take into account texturial effects, the granular hardness was modified. The calculations were carried out with a sand specimen during plane strain compression under constant lateral pressure. A stochastic and uniform distribution of the initial void ratio in the granular specimen was assumed. In addition, shear localization for two different uniform initial void ratios was investigated.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2005, 52, 4; 351-371
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unsteady natural convection in micropolar nanofluids
Autorzy:
Rup, K.
Nering, K.
Powiązania:
https://bibliotekanauki.pl/articles/240090.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
micropolar fluid
nanofluid
heat transfer enhancement
płyn mikropolarny
nanopłyn
intensyfikacja wymiany ciepła
Opis:
This paper presents the analysis of momentum, angular momentum and heat transfer during unsteady natural convection in micropolar nanofluids. Selected nanofluids treated as single phase fluids contain small particles with diameter size 10-38.4 nm. In particular three water-based nanofluids were analyzed. Volume fraction of these solutions was 6%. The first of the analyzed nanofluids contained TiO2 nanoparticles, the second one contained Al2O3 nanoparticles, and the third one the Cu nanoparticles.
Źródło:
Archives of Thermodynamics; 2014, 35, 3; 155-170
1231-0956
2083-6023
Pojawia się w:
Archives of Thermodynamics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical simulation of flow and heat transfer in hydromagnetic micropolar fluid between two stretchable disks with viscous dissipation effects
Autorzy:
Ali, K.
Ahmad, S.
Ashraf, M.
Powiązania:
https://bibliotekanauki.pl/articles/279778.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
MHD
micropolar fluid
stretchable disk
viscous dissipation
couple stress
heat transfer rate
Opis:
A study of magnetohydrodynamic (MHD) flow with viscous dissipation and heat transfer in an electrically conducting laminar steady viscous incompressible micropolar fluid between two infinite uniformly stretching disks is presented. The transformed self similar nonlinear ODEs are first linearized using a quasi linearization method and then solved by employing a combination of a direct and an iterative method. The study may be beneficial to flow and thermal control of polymeric processing.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 2; 633-643
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Micropolar flow over a black isothermal plate in the presence thermal radiation
Autorzy:
Raptis, A.
Powiązania:
https://bibliotekanauki.pl/articles/1839844.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
płyn mikropolarny
promieniowanie cieplne
płyta izotermiczna
micropolar fluid
thermal radiation
isothermal plate
Opis:
This study numerically investigates the effects of thermal radiation on the flow over a black isothermal plate for an optically thin gray micropolar fluid. The flowing medium absorbs and emits radiation, but scattering is not included. The computational results are discussed graphically for several selected flow parameters.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 235-241
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reflection and Transmission of Plane Wave at an Interface Between Two Rotating Micropolar Piezoelectric Solid Half-Spaces
Autorzy:
Singh, Baljeet
Sangwan, Asha
Singh, Jagdish
Powiązania:
https://bibliotekanauki.pl/articles/2141703.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
plane wave
micropolar piezoelectricity
reflection and transmission
amplitude ratios
energy ratios
rotation
Opis:
In this paper, we investigate a problem on reflection and transmission of plane-waves at an interface between two dissimilar half-spaces of a transversely isotropic micropolar piezoelectric material. The entire model is assumed to rotate with a uniform angular velocity. The governing equations of rotating and transversely isotropic micropolar piezoelectric medium are specialized in a plane. Plane-wave solutions of two-dimensional coupled governing equations show the possible propagation of three coupled plane-waves. For an incident plane-wave at an interface between two dissimilar half-spaces, three reflected and three transmitted waves propagate with distinct speeds. The connections between the amplitude ratios of reflected and transmitted waves are obtained. The expressions for the energy ratios of reflected and transmitted waves are also obtained. A numerical example of the present model is considered to illustrate the effects of rotation on the speeds and energy ratios graphically.
Źródło:
Archives of Acoustics; 2021, 46, 4; 623-635
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Surface wave characteristics in a micropolar transversely isotropic halfspace underlying an inviscid liquid layer
Autorzy:
Gupta, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/955310.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fala Rayleigha
propagacji fal
liczba falowa
micropolar
transversely isotropic
amplitude ratios
Rayleigh waves
Opis:
The present investigation deals with the propagation of waves in a micropolar transversely isotropic half space with an overlying inviscid fluid layer. Effects of fluid loading and anisotropy on the phase velocity, attenuation coefficient, specific loss and relative frequency shift. Finally, a numerical solution was carried out for aluminium epoxy material and the computer simulated results for the phase velocity, attenuation coefficient, specific loss and relative frequency shift are presented graphically. A particular case for the propagation of Rayleigh waves in a micropolar transversely isotropic half-space is deduced and dispersion curves are plotted for the same as functions of the wave number. An amplitude of displacements and microrotation together with the path of surface particles are also calculated for the propagation of Rayleigh waves in the latter case.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 1; 49-60
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vertical heat transport at infinite Prandtl number for micropolar fluid
Autorzy:
Caggio, M.
Kalita, P.
Łukaszewicz, G.
Mizerski, K. A.
Powiązania:
https://bibliotekanauki.pl/articles/38611128.pdf
Data publikacji:
2020
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
micropolar fluid
Rayleigh–Benard convection
heat transport
Rayleigh number
Prandtl number
Nusselt number
Opis:
We investigate the upper bound on the vertical heat transport in the fully 3D Rayleigh–Bénard convection problem at the infinite Prandtl number for a micropolar fluid. We obtain a bound, given by the cube root of the Rayleigh number, with a logarithmic correction. The derived bound is compared with the optimal known one for the Newtonian fluid. It follows that the (optimal) upper bound for the micropolar fluid is less than the corresponding bound for the Newtonian fluid at the same Rayleigh number. Moreover, strong microrotational diffusion effects can entirely suppress the heat transfer. In the Newtonian limit our purely analytical findings fully agree with estimates and scaling laws obtained from previous theories significantly relying on phenomenology.
Źródło:
Archives of Mechanics; 2020, 72, 6; 525-553
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Squeeze flow modeling with the use of micropolar fluid theory
Autorzy:
Kucaba-Piętal, A.
Powiązania:
https://bibliotekanauki.pl/articles/202239.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
micropolar fluid
squeeze flow
MEMS
tribology
non-Newtonian fluid
płyn mikropolarny
tribologia
ciecz nienewtonowska
Opis:
The aim of this paper is to study the applicability of micropolar fluid theory to modeling and to calculating tribological squeeze flow characteristics depending on the geometrical dimension of the flow field. Based on analytical solutions in the lubrication regime of squeeze flow between parallel plates, calculations of the load capacity and time required to squeeze the film are performed and compared – as a function of the distance between the plates – for both fluid models: the micropolar model and the Newtonian model. In particular, maximum distance between the plates for which the micropolar effects of the fluid become significant will be established. Values of rheological constants of the fluids, both those experimentally determined and predicted by means of using equilibrium molecular dynamics, have been used in the calculations. The same analysis was performed as a function of dimensionless microstructural parameters.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 6; 927-933
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effect of reduced heat transfer in a micropolar fluid in natural convection
Autorzy:
Rup, K.
Dróżdż, A.
Powiązania:
https://bibliotekanauki.pl/articles/240722.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
micropolar fluid
microrotation
boundary layer theory
Local Nusselt number
teoria warstwy przyściennej
Liczba Nusselta
Opis:
This paper presents the numerical solution to the unsteady natural convection problem in micropolar fluid in the vicinity of a vertical plate, heat flux of which rises suddenly at a given moment. In order to solve this problem the method of finite differences was applied. The numerical results have been presented for a range of values of the dimensionless material properties and fluid Prandtl number. The analysis of the results shows that the intensity of the heat transfer in micropolar fluid is lower compared to the Newtonian fluid.
Źródło:
Archives of Thermodynamics; 2013, 34, 3; 45-59
1231-0956
2083-6023
Pojawia się w:
Archives of Thermodynamics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wave propagation in a micropolar transversely isotropic generalized thermoelastic half-space
Autorzy:
Gupta, R. R.
Powiązania:
https://bibliotekanauki.pl/articles/955189.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termosprężystość
prędkość fazowa
współczynnik tłumienia drgań sprężystych
micropolar
transversely isotropic
generalized thermoelastic
amplitude ratios
Opis:
Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of the phase velocity, attenuation coefficient and specific loss as calculated from the different theories of generalized thermoelasticity along with the comparison of anisotropy. The amplitudes of displacements, microrotation, stresses and temperature distribution were also obtained. The results obtained and the conclusions drawn are discussed numerically and illustrated graphically. Relevant results of previous investigations are deduced as special cases.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 247-257
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unsteady MHD mixed convection flow of a micropolar fluid over a vertical wedge
Autorzy:
Roy, N. C.
Gorla, R. S. R.
Powiązania:
https://bibliotekanauki.pl/articles/264759.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
micropolar fluid
unsteady flow
radiation
heat generation
płyn mikropolarny
przepływ nieustalony
promieniowanie
wytwarzanie ciepła
Opis:
An analysis is presented to investigate the unsteady magnetohydrodynamic (MHD) mixed convection boundary-layer flow of a micropolar fluid over a vertical wedge in the presence of thermal radiation and heat generation or absorption. The free-stream velocity and surface temperature are assumed to be oscillating in magnitude but not in the direction of the oncoming flow velocity. The governing equations have been solved by two distinct methods, namely, the finite difference method for the entire frequency range, and the series solution for low frequency range and the asymptotic series expansion method for the high frequency range. Numerical solutions provide a good agreement with the series solutions. The amplitudes of skin friction and couple stress coefficients are found to be strongly dependent on the Richardson number and the vortex viscosity parameter. The Prandtl number, the conduction-radiation parameter, the surface temperature parameter and the pressure gradient parameter significantly affect the amplitudes of skin friction, couple stress and surface heat transfer rates. However, the amplitudes of skin friction coefficient are considerably affected by the magnetic field parameter, whereas the amplitudes of heat transfer rate are appreciably changed with the heat generation or absorption parameter. In addition, results are presented for the transient skin friction, couple stress and heat transfer rate with the variations of the Richardson number, the vortex viscosity parameter, the pressure gradient parameter and the magnetic field parameter.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 2; 363-391
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical solution to the MHD flow of micropolar fluid over a linear stretching sheet
Autorzy:
Siddheshwar, P. G.
Powiązania:
https://bibliotekanauki.pl/articles/265502.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
differential equation
stretching sheet
MHD
micropolar fluid
linear stretching sheet
równania różniczkowe
magnetohydrodynamika
blacha
Opis:
The flow due to a linear tretching sheet in a fluid with suspended particles, modeled as a micropolar fluid, is considered. All reported works on the problem use numerical methods of solution or a regular perturbation technique. An analytical solution is presented in the paper for the coupled non-linear differential equations with inhomogeneous boundary conditions.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 2; 397-406
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Similarity solution of stagnation-point flow and heat transfer of a micropolar fluid towards a horizontal permeable exponentially elongating sheet with radiation, heat production/ immersion
Autorzy:
Parthiban, R.
Palani, G.
Powiązania:
https://bibliotekanauki.pl/articles/2174190.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
płyn mikropolarny
promieniowanie
ssanie
exponentially stretching sheet
heat spring/drop
micropolar fluid
radiation
suction/injection
Opis:
The current study aims to explore stagnation spot flow of a micropolar fluid about a plain linear exponentially expanding penetrable surface in the incidence of radiation and in-house heat production/immersion. Through similarity mapping, the mathematical modeling statements are transformed to ODE's and numerical results are found by shooting techniques. The impact of varying physical constants on momentum, micro-rotation and temperature is demonstrated through graphs. The computed measures including shear, couple stress, mass transfer and the local surface heat flux with distinct measures of factors involved in this proposed problem are presented through a table.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 4; 179--191
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of variation of the parameters method for micropolar flow in a porous channel
Autorzy:
Güngör, Osman
Arslantürk, Cihat
Powiązania:
https://bibliotekanauki.pl/articles/1839802.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
micropolar flow
porous channel
variation of parameters method
przepływ mikropolarny
metoda zmiany parametrów
kanał porowaty
Opis:
This work devoted to study the injective micropolar flow in a porous channel. The flow is driven by suction or injection on the channel walls, and the micropolar model is used to characterize the working fluid. The governing nonlinear partial differential equations are reduced to the nonlinear ordinary coupled differential equations by using Berman’s similarity transformation. These equations are solved for large mass transfer via variation of parameters method (VPM) which has been used effectively in the solution of nonlinear equations recently. This method has not previously been applied to a problem of micropolar flow. The results of the variation of parameters method are found to be in excellent agreement with the results of the Matlab bvp4c solver (NUM). With this validity, the effects of the some important parameters on the velocity and rotation profile of micropolar flow are discussed in detail. It can be seen that increases in the values N1 and N3 have different results in comparison with N2 increasing.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 17-29
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of variation of the parameters method for micropolar flow in a porous channel
Autorzy:
Güngör, Osman
Arslantürk, Cihat
Powiązania:
https://bibliotekanauki.pl/articles/122970.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
micropolar flow
porous channel
variation of parameters method
przepływ mikropolarny
metoda zmiany parametrów
kanał porowaty
Opis:
This work devoted to study the injective micropolar flow in a porous channel. The flow is driven by suction or injection on the channel walls, and the micropolar model is used to characterize the working fluid. The governing nonlinear partial differential equations are reduced to the nonlinear ordinary coupled differential equations by using Berman’s similarity transformation. These equations are solved for large mass transfer via variation of parameters method (VPM) which has been used effectively in the solution of nonlinear equations recently. This method has not previously been applied to a problem of micropolar flow. The results of the variation of parameters method are found to be in excellent agreement with the results of the Matlab bvp4c solver (NUM). With this validity, the effects of the some important parameters on the velocity and rotation profile of micropolar flow are discussed in detail. It can be seen that increases in the values N1 and N3 have different results in comparison with N2 increasing.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 17-29
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundary layer flow of magneto-micropolar nanofluid flow with Hall and ion-slip effects using variable thermal diffusivity
Autorzy:
Bilal, M.
Hussain, S.
Sagheer, M.
Powiązania:
https://bibliotekanauki.pl/articles/202030.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Hall effect
nanofluid
ion-slip effect
magneto-micropolar fluid
shooting method
Efekt Halla
płyn mikropolarny
Opis:
In the present article, magneto-micropolar nanofluid flow with suction or injection in a porous medium over a stretching sheet for the heat and mass transfer is analyzed numerically. Both Hall and ion-slip effects are considered along with variable thermal diffusivity. The governing partial differential equations are transformed to ordinary differential equations using usual similarity transformations. These coupled non-linear differential equations are solved using the shooting method. Effects of prominent parameter on velocities, temperature and concentration are discussed graphically. Numerical values of skin-friction coefficient, local Nusselt number and local Sherwood number are also tabulated and discussed.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 3; 383-390
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ciśnienie i nośność wzdłużnego łożyska ślizgowego smarowanego olejem mikropolarnym
Pressure and capacity force in journal longitudinal bearing lubricated with micropolar oil
Autorzy:
Krasowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/190523.pdf
Data publikacji:
2009
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
smarowanie mikropolarne
wzdłużne łożysko ślizgowe
ciśnienie
nośność
micropolar lubrication
journal longitudinal bearing
hydrodynamic pressure
capacity force
Opis:
W referacie omówiono i przedstawiono rozwiązanie numeryczne równania Reynoldsa opisującego laminarny, stacjonarny przepływ czynnika smarującego o strukturze mikropolarnej w szczelinie wzdłużnego łożyska ślizgowego. Założono stałą gęstość oraz lepkości dynamiczne charakteryzujące olej mikropolarny. Punktem wyjścia są równania pędu, momentu pędu oraz równanie ciągłości przepływu, skąd otrzymano równanie Reynoldsa. Wyniki są przedstawione w postaci rozkładu ciśnienia, jego wartości maksymalnej oraz nośności w zależności od wartości liczby sprzężenia N i bezwymiarowej długości μ1 cieczy mikropolarnej. Prezentowane wyniki przedstawione są w postaci charakterystyk bezwymiarowych i porównane z rozwiązaniem dla oleju newtonowskiego.
This paper presents the results of the numerical solution for the Reynolds equation for laminar, steady oil flow in a slide plane bearing gap. Lubrication oil is fluid with micropolar structure. Materials engineering and tribology development helps to introduce oils with a compound structure (together with micropolar structure) as lubricating factors. Exploitation requirements incline designers to use special oil refining additives, to change viscosity properties. As experimental studies show, most of the refining lubricating fluids can be included as fluids of non-Newtonian properties with microstructure. In modelling properties and structures of micropolar liquid, one can introduce a dimensionless parameter within the terminal chance conversion of a micropolar liquid to a Newtonian liquid. The results are shown on diagrams of hydrodynamic pressure and capacity forces in dimensionless form in dependence on coupling number N2 and the characteristic dimensionless length of micropolar fluid μ1. Presented calculations are limited to isothermal models of bearing with infinite breadth.
Źródło:
Tribologia; 2009, 4; 125-137
0208-7774
Pojawia się w:
Tribologia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Flows in microchannels
Autorzy:
Kucaba-Piętal, A.
Walenta, Z.
Peradzyński, Z.
Powiązania:
https://bibliotekanauki.pl/articles/1955808.pdf
Data publikacji:
2001
Wydawca:
Politechnika Gdańska
Tematy:
microchannel flow
microflows
micropolar fluid
molecular dynamics simulations
direct Monte Carlo simulation
direct Monte Carlo methods
Opis:
The aim of this paper is to present a survey of the results for the flows of simple gases and liquids with substructure through narrow channels, obtained with the Direct Monte-Carlo and Molecular Dynamics Simulation methods.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2001, 5, 2; 179-189
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A numerical approach to slip flow of a micropolar fluid above a flat permeable contracting surface
Autorzy:
Parthiban, R.
Palani, G.
Tinker, Seema
Sharma, R. P.
Powiązania:
https://bibliotekanauki.pl/articles/1839882.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
warstwa graniczna
radiator
płyn mikropolarny
ssanie
boundary layers
heat sink
micropolar fluid
slip condition
suction
injection
Opis:
A plain linear penetrable contracting sheet with slip over a micro-polar liquid with a stagnation-point flow is analyzed. Through similarity mapping, the mathematical modeling statements are transformed as ODE’s and numerical results are found by shooting techniques. The varying impacts of physical quantities on the momentum, micro-rotation, and temperature were demonstrated through graphs. The computed measures including shear and couple stress with distinct measures of factors involved in this proposed problem are presented through a table.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 173-185
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Drag on a permeable sphere placed in a micropolar fluid with non-zero boundary condition for microrotations
Autorzy:
Mishra, V.
Gupta, B. R.
Powiązania:
https://bibliotekanauki.pl/articles/122361.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
drag force
modified Bessel’s function
micropolar fluid
permeable sphere
stream function
siła tarcia
funkcja Bessela
Opis:
This paper concerns an analytical study of an infinite expanse of uniform flow of steady axisymmetric creeping flow of an incompressible micropolar fluid around the permeable sphere assuming a nonhomogeneous boundary condition for microrotation vector. It is assumed that microrotation vector is proportional to the rotation rate of velocity vector. The stream function solutions for the flow fields are obtained in the terms of modified Bessel’s functions and Gegenbauer functions. Continuity of normal velocity, no-slip condition, non-zero microrotation vector on the sphere, uniform velocity at infinity are the different boundary conditions used to determine the flow fields explicitly. The microrotation component, pressure field, bounds of permeability parameter and drag force experienced by the permeable sphere are calculated. Dependence of the drag force on different fluid parameters is presented graphically and discussed. It is found that drag force decreases with increasing spin parameter. Several cases of interest are deduced from the present analysis.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 97-109
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reflection at free surface in micropolar thermoelastic solid with two temperatures
Autorzy:
Sharma, K.
Powiązania:
https://bibliotekanauki.pl/articles/266249.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
termoelastyczność
fale sprężyste
współczynnik odbicia dźwięku
micropolar thermoelastic solid
conductive and thermodynamic temperatures
elastic waves
reflection coefficient
Opis:
The present investigation is concerned with the effect of two temperatures on reflection coefficients in a micropolar thermoelastic solid half space. With two relaxation times, reflection of plane waves impinging obliquely at a plane interface of the micropolar generalized thermoelastic solid half space with two temperatures is investigated. The incident wave is assumed to be striking at the plane surface after propagating through the micropolar generalized thermoelastic solid with two temperatures. Amplitude ratios of the various reflected waves are obtained in closed form and it is found that these are functions of angle of incidence, frequency and are affected by the elastic properties of the media. The effect of two temperatures is shown on these amplitude ratios for a specific model.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 217-234
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effects of chemical reaction on magneto-micropolar fluid flow from a radiative surface with variable permeability
Autorzy:
Sharma, B. K.
Singh, A. P.
Yadav, K.
Chaudhary, R. C.
Powiązania:
https://bibliotekanauki.pl/articles/264925.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
reakcja chemiczna
płyn mikropolarny
magnetohydrodynamika
wymiana ciepła
chemical reaction
micropolar fluid
microrotation
magnetohydrodynamics
heat and mass transfer
Opis:
This paper presents a study of a hydromagnetic free convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with a heat source, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field has also been considered in the study which acts perpendicular to the porous surface of the above plate. The analysis has been done by assuming varying permeability of the medium and the Rosseland approximation has been used to describe the radiative heat flux in the energy equation. Numerical results are presented graphically in the form of velocity, micro- rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters. The study clearly demonstrates how a chemical reaction influences the above parameters under given conditions.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 3; 833-851
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reflection-refraction coefficients and energy ratios in couple stress micropolar thermoviscous elastic solid
Autorzy:
Sahrawat, Ravinder Kumar
Poonam, -
Powiązania:
https://bibliotekanauki.pl/articles/1839830.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
prędkość fazowa
współczynnik odbicia
współczynnik załamania
micropolar
thermoviscous
phase speed
energy ratio
reflection coefficient
refraction coefficient
couple stress
Opis:
The reflection and refraction phenomenon of propagation of waves in couple stress micropolar thermoviscous elastic solid media with independent viscoelastic and micropolar properties have been studied. The structure of the model has been taken such that the plane interface is divides the given media into two half spaces in perfect contact. Here, we find that there are five waves, one of them is propagating independently while others are set of two coupled waves travelling with different speeds. Energy ratios, reflection and refraction coefficients relative to numerous reflected and refracted waves have been investigated when set of two coupled longitudinal waves and set of two coupled transverse waves strike at the interface through the solid medium. The inequality of energy ratios, refraction coefficients and reflection coefficients are evaluated numerically and presented graphically under three theories of thermoelasticity, namely, Green-Lindsay theory (GL), Lord-Shulman theory (LS), Coupled theory (CT) versus angular frequency and angle of incidence.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 47-69
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Axisymmetric vibration for micropolar porous thermoelastic circular plate
Autorzy:
Kumar, R.
Kaushal, P.
Sharma, R.
Powiązania:
https://bibliotekanauki.pl/articles/266270.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
micropolar porous thermoelasticity
eigen value
Laplace and Hankel transforms
thermomechanical sources
porowatość termoelastyczna
transformata Laplace'a
transformata Hankela
Opis:
The present investigation is concerned with a two dimensional axisymmetric problem in a homogeneous isotropic micropolar porous thermoelastic circular plate by using the eigen value approach. The Laplace and Hankel transform are used to solve the problem. The expression of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain subjected to thermomechanical sources. A computer algorithm is developed for numerical computations. To obtain the resulting quantities in a physical domain, a numerical inversion technique is used. The resulting quantities are depicted graphically for a specific model. Some special cases are also deduced.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 3; 583-600
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Drag force of a porous particle moving axisymmetrically in a closed cavity of micropolar fluid
Autorzy:
Madasu, Krishna Prasad
Powiązania:
https://bibliotekanauki.pl/articles/122694.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
micropolar fluid
Stokes flow
sphere
concentric
drag force
płyn mikropolarny
prawo Stokesa
siła tarcia
siła hydrodynamiczna
przepływ pełzający
Opis:
The present paper deals with the problem of an incompressible axisymmetric creeping flow caused by a porous spherical particle in a spherical cavity filled with micropolar fluid. Depending on the kind of cell model, appropriate boundary conditions are used on the surface of sphere and spherical cavity. Drag force on the porous particle in the presence of a cavity is calculated to determine the correction factor to the Stokes law. A general expression for the hydrodynamic force acting on the porous sphere and, hence, for the wall correction factor of the sphere are obtained. The special cases of the porous sphere in viscous fluid, zero permeability solid sphere in micropolar fluid and viscous fluid are obtained in open and closed cavity respectively.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 41-51
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-50 z 54

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