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Tytuł:
The effect of rheology with gas bubbles on linear elastic waves in fluid-saturated granular media
Autorzy:
ALI, A. A.
Strunin, D. V.
Powiązania:
https://bibliotekanauki.pl/articles/265018.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
reologia
materiały porowate
pęcherzyki
Frenkel-Biots waves
bubbles
rheology
porous media
Opis:
Elastic waves in fluid-saturated granular media depend on the grain rheology, which can be complicated by the presence of gas bubbles. We investigated the effect of the bubble dynamics and their role in rheological scheme, on the linear Frenkel-Biot waves of P1 type. For the wave with the bubbles the scheme consists of three segments representing the solid continuum, fluid continuum and bubbles surrounded by the fluid. We derived the Nikolaevskiy-type equation describing the velocity of the solid matrix in the moving reference system. The equation is linearized to yield the decay rate λ as a function of the wave number k. We compared the λ (k) -dependence for the cases with and without the bubbles, using typical values of the input mechanical parameters. For both the cases, the λ(k) curve lies entirely below zero, which implies a global decay of the wave. We found that the increase of the radius of the bubbles leads to a faster decay, while the increase in the number of the bubbles leads to slower decay of the wave.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 575-594
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of MHD on unsteady oscillatory Couette flow through porous media
Autorzy:
Sharma, Bhupendra K.
Sharma, Pawan Kumar
Cauhan, Sudhir Kumar
Powiązania:
https://bibliotekanauki.pl/articles/2174184.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
magnetohydrodynamika
materiały porowate
przepływ Couette'a
MHD
porous media
free convection
Couette flow
Opis:
This paper describes the effects of a magnetic field on unsteady free convection oscillatory systems. When temperature and species concentration fluctuate with time around a non-zero constant, "Couette flow" across a porous medium occurs. The system of non-linear ODEs that governs the flow is solved analytically using the perturbation approach because the amplitude of fluctuations is very tiny. Mean flow and transient velocity, transient concentration, transient temperature, heat transfer, mean skin friction and phase and amplitude of skin friction. All have approximate solutions. The influence of different parameters on flow characteristics has been specified and discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2022, 27, 1; 188--202
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical modeling of magneto pulsatile blood flow through a porous medium with a heat source
Autorzy:
Sharma, B. K.
Sharma, M.
Gaur, R. K.
Mishra, A.
Powiązania:
https://bibliotekanauki.pl/articles/266184.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
heat source
blood flow
porous medium
MHD
źródło ciepła
przepływ krwi
materiały porowate
magnetohydrodynamika
Opis:
In the present study a mathematical model for the hydro-magnetic non-Newtonian blood flow in the non-Darcy porous medium with a heat source and Joule effect is proposed. A uniform magnetic field acta perpendicular to the porous surface. The governing non-linear partial differential equations have been solved numerically by applying the explicit finite difference Method (FDM). The effects of various parameters such as the Reynolds number, hydro-magnetic parameter, Forchheimer parameter, Darcian parameter, Prandtl number, Eckert number, heat source parameter, Schmidt number on the velocity, temperature and concentration have been examined with the help of graphs. The present study finds its applications in surgical operations, industrial material processing and various heat transfer operations.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 2; 385-396
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The effect of the magnetic field on the Rayleigh-Taylor instability in a couple-stress fluid
Autorzy:
Chavaraddi, K. B.
Awati, V. B.
Nandeppanavar, M. M.
Gouder, P. M.
Powiązania:
https://bibliotekanauki.pl/articles/264667.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
pole magnetyczne
materiały porowate
szybkość wzrostu
RTI
couple-stress fluid
magnetic field
porous media
growth rate
Opis:
In this study we examine the effect of the magnetic field parameter on the growth rate of the Rayleigh-Taylor instability (RTI) in a couple stress fluids. A simple theory based on fully developed flow approximations is used to derive the dispersion relation for the growth rate of the RTI. The general dispersion relation obtained using perturbation equations with appropriate boundary conditions will be reduced for the special cases of propagation and the condition of instability and stability will be obtained. In solving the problem of the R-T instability the appropriate boundary conditions will be applied. The couple-stress parameter is found to be stabilizing and the influence of the various parameters involved in the problem on the interface stability is thoroughly analyzed. The new results will be obtained by plotting the curves between the dimensionless growth rate and the dimensionless wave number for various physical parameters involved in the problem (viz. the magnetic field, couple-stress, porosity, etc.) in the problem. It is found that the magnetic field and couple-stress have a stabilization effect whereas the buoyancy force (surface tension) has a destabilization effect on the RT instability in the presence of porous media.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 611-622
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Heat and mass transfer in a second grade fluid over a stretching vertical surface in a porous medium
Autorzy:
Baoku, I. G.
Onifade, Y. S.
Adebayo, L. O.
Yusuff, K. M.
Powiązania:
https://bibliotekanauki.pl/articles/265587.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
heat and mass transfer
second grade fluid
porous medium
stretching surface
wymiana ciepła
wymiana masy
materiały porowate
Opis:
The investigation deals with the combined heat and mass transfer in a mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic second grade fluid. The partial differential equations governing the model have been transformed by a similarity transformation and the system of coupled-ordinary differential equations is solved by employing the shooting method with the fifth-order Runge-Kutta-Fehlberg iteration technique. Effects of various values of physical parameters embedded in the flow model on the dimensionless velocity, temperature and concentration distributions are discussed and shown with the aid of graphs. Numerical values of physical quantities, such as the local skin-coefficient, local Nusselt number and local Sherwood number are presented in a tabular form. It is observed that the boundary layer fluid velocity increases as the second grade parameter, mixed convection parameter and Prandtl number increase.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 2; 239-255
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Double-diffusive convection of synovial (couple-stress) fluid in the presence of Hall current through a porous medium
Autorzy:
Singh, M.
Powiązania:
https://bibliotekanauki.pl/articles/264478.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
płyn maziowy
materiały porowate
zjawisko Halla
double diffusive convection
porous medium and Hall current
compressibility
synovial fluid
Opis:
An investigation made on the effect of Hall currents on double-diffusive convection of a compressible synovial (couple-stress) fluid in the presence of a horizontal magnetic field through a porous layer is considered. The analysis is carried out within the framework of linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, compressibility, magnetic field and porous layer is derived. For the stationary convection, a synovial fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. The stable-solute gradient, compressibility, and magnetic field have postponed the onset of convection, whereas Hall currents and medium permeability have not postponed the onset of convection, moreover, a synovial fluid has a dual character in the presence of Hall currents, whereas in the absence of Hall current in synovial fluid have postponed the onset of convection, which is in contrast in case of thermal convection couple-stress fluid with same effects. These analytic results are confirmed numerically and the effects of various parameters are depicted graphically. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field, porous medium and Hall currents which were non- existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 4; 963-976
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of magnetic field on thermal instability of Oldroydian viscoelastic rotating fluid in porous medium
Autorzy:
Thakur, R. C.
Rana, G. C.
Powiązania:
https://bibliotekanauki.pl/articles/265340.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
pole magnatyczne
materiały porowate
rotacja
niestabilność termiczna
magnetic field
Oldroydian viscoelastic fluid
porous medium
rotation
thermal instability
Opis:
In this paper, we investigate the effect of a vertical magnetic field on thermal instability of an Oldroydian visco-elastic rotating fluid in a porous medium. By applying the normal mode analysis method, the dispersion relation governing the effects of rotation, magnetic field and medium permeability is derived and solved analytically and numerically. For the case of stationary convection, the Oldroydian viscoelastic fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has a stabilizing effect while the magnetic field and medium permeability have a stabilizing/destabilizing effect under certain conditions on thermal instability of the Oldroydian viscoelastic fluid in a porous medium. The oscillatory modes are introduced due to the presence of rotation, the magnetic field and gravity field. It is also observed that the ‘principle of exchange of stability’ is invalid in the presence of rotation and the magnetic field.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 555-569
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermosolutal instability in compressible viscoelastic dusty fluid through porous medium
Autorzy:
Kumar, P.
Mohan, H.
Powiązania:
https://bibliotekanauki.pl/articles/265807.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
płyn lepkosprężysty
cząstki zawieszone
materiały porowate
thermosolutal instability
compressible Walters B’ viscoelastic fluid
suspended particles
porous medium
Opis:
Thermosolutal instability in a compressible Walters B’ viscoelastic fluid with suspended particles through a porous medium is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the Walters B’ viscoelastic fluid behaves like a Newtonian fluid and it is found that suspended particles and medium permeability have a destabilizing effect whereas the stable solute gradient and compressibility have a stabilizing effect on the system. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The stable solute gradient and viscoelasticity are found to introduce oscillatory modes in the system which are non-existent in their absence.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 99-112
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Slow extensional flow past a non-homogeneous porous spherical shell
Autorzy:
Rajvanshi, S. C.
Wasu, S.
Powiązania:
https://bibliotekanauki.pl/articles/266066.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
materiały porowate
przepływ Stokesa
powłoki przepuszczalne
prędkość poślizgu
porous medium
Stokes flow
permeable shell
extensional field
velocity slip
Opis:
An analytical investigation of extensional flow past a porous spherical shell of finite thickness with velocity slip at the surface is presented. The permeability of the shell varies continuously as a function of the radial distance. The flow in the porous region is assumed to obey Darcy’s Law. The drag has been calculated in terms of normal volume flux rate per unit area of the outer and inner surfaces. Particular cases of flow past a homogeneous sphere and no-slip boundary condition have been deduced.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 491-502
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
MHD free convection-radiation interaction in a porous medium - part II: soret/dufour effects
Autorzy:
Vasu, B.
Gorla, Rama Subba Reddy
Murthy, P. V. S. N.
Prasad, V. R.
Beg, O. A.
Siddiqa, S.
Powiązania:
https://bibliotekanauki.pl/articles/266156.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
materiały porowate
pole magnetyczne
magnetohydrodynamika
non-Darcy porous media transport
magnetic field
horizontal circular cylinder
Soret number
Dufour number
Opis:
This paper is focused on the study of two dimensional steady magnetohydrodynamics heat and mass transfer by laminar free convection from a radiative horizontal circular cylinder in a non-Darcy porous medium by taking into account of the Soret/Dufour effects. The boundary layer equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller–Box finite-difference scheme. Numerical results are obtained for the velocity, temperature and concentration distributions, as well as the local skin friction, Nusselt number and Sherwood number for several values of the parameters, namely the buoyancy ratio parameter, Prandtl number, Forchheimer number, magnetohydrodynamic body force parameter, Soret and Dufour numbers. The dependency of the thermophysical properties has been discussed on the parameters and shown graphically. Increasing the Forchheimer inertial drag parameter reduces velocity but elevates temperature and concentration. Increasing the Soret number and simultaneously reducing the Dufour number greatly boosts the local heat transfer rate at the cylinder surface. A comparative study of the previously published and present results in a limiting sense is made and an excellent agreement is found between the results.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 2; 157-175
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unsteady convection flow of a magnetomicropolar fluid past a vertical porous plate
Autorzy:
Jain, N. C.
Gupta, P.
Sharma, B.
Powiązania:
https://bibliotekanauki.pl/articles/266073.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
źródło ciepła
pole magnetyczne
materiały porowate
prędkość poślizgu
heat source/sink
magnetic field
porous medium
slip velocity
unsteady
vertical plate
Opis:
The paper deals with an unsteady two dimensional laminar slip flow of a viscous incompressible magnetomicropolar fluid past a semi infinite porous plate embedded in a porous medium. The flow is under the influence of a transverse magnetic field and heat source/sink. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. The porous surface absorbs the fluid with time varying suction velocity. Expressions are obtained for velocity and temperature fields, mean angular velocity, skin friction and the Nusselt number.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 43-53
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of suspended particles on thermosolutal convection of Rivlin-Ericksen fluid in porous medium with variable gravity
Autorzy:
Aggarwal, A. K.
Dixit, D.
Powiązania:
https://bibliotekanauki.pl/articles/264370.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
płyn Rivlina-Ericksena
cząstki zawieszone
materiały porowate
zmienna grawitacja
thermosolutal convection
Rivlin-Ericksen fluid
suspended particles
porous medium
varying gravity
Opis:
The thermosolutal stability of a layer of the Rivlin-Ericksen fluid in a porous medium is considered under varying gravity conditions. It is found that for stationary convection, medium permeability and suspended particles have a destabilizing/stabilizing effect when gravity increases/decreases. The stable solute gradient has a stabilizing effect on the system.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 813-820
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of viscous dissipation and thermal radiation on heat transfer over a non-linearly stretching sheet through porous medium
Autorzy:
Nandeppanavar, M. M.
Siddalingappa, M. N.
Powiązania:
https://bibliotekanauki.pl/articles/264505.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
materiały porowate
metoda Runge-Kutty
promieniowanie cieplne
porous media
viscous dissipation
Runge-Kutta method
thermal radiation
wall temperature gradient
wall temperature
Opis:
In this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat transfer into ODE’s. Solutions of motion and heat transfer are obtained by the Runge-Kutta integration scheme with most efficient shooting technique. The graphical results are presented to interpret various physical parameters of interest. It is found that the velocity profile decreases with an increase of the porous parameter asymptotically. The temperature field decreases with an increase in the parametric values of the Prandtl number and thermal radiation while with an increase in parameters of the Eckert number and porous parameter, the temperature field increases in both PST (power law surface temperature) and PHF (power law heat flux) cases. The numerical values of the non-dimensional wall temperature gradient and wall temperature are tabulated and discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 461-474
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effects of heat source/sink and chemical reaction on MHD Maxwell nanofluid flow over a convectively heated exponentially stretching sheet using homotopy analysis method
Autorzy:
Sravanthi, C. S.
Gorla, R. S. R.
Powiązania:
https://bibliotekanauki.pl/articles/265865.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
reakcja chemiczna
źródło ciepła
materiały porowate
HAM
chemical reaction
heat source/sink
Maxwell nanofluid
porous exponentially stretching sheet
convective boundary conditions
Opis:
The aim of this paper is to study the effects of chemical reaction and heat source/sink on a steady MHD (magnetohydrodynamic) two-dimensional mixed convective boundary layer flow of a Maxwell nanofluid over a porous exponentially stretching sheet in the presence of suction/blowing. Convective boundary conditions of temperature and nanoparticle concentration are employed in the formulation. Similarity transformations are used to convert the governing partial differential equations into non-linear ordinary differential equations. The resulting non-linear system has been solved analytically using an efficient technique, namely: the homotopy analysis method (HAM). Expressions for velocity, temperature and nanoparticle concentration fields are developed in series form. Convergence of the constructed solution is verified. A comparison is made with the available results in the literature and our results are in very good agreement with the known results. The obtained results are presented through graphs for several sets of values of the parameters and salient features of the solutions are analyzed. Numerical values of the local skin-friction, Nusselt number and nanoparticle Sherwood number are computed and analyzed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2018, 23, 1; 137-159
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hydrodynamic and hydromagnetic stability of two superposed elastico – viscous fluids of different permeability with dust in porous medium
Autorzy:
Singh, M.
Mehta, C. B.
Powiązania:
https://bibliotekanauki.pl/articles/266188.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Rayleigh-Taylor instability
magnetic field
suspended particles
Walters' B fluid
different permeability and porous medium
pole magnetyczne
materiały porowate
lepkość płynu
Opis:
Rayleigh-Taylor instability of two superposed Walters’ B has elastico-viscous fluids in a uniform magnetic field through a porous medium with different permeability been studied to include the suspended (dust) particles effect. Using normal mode technique a dispersion relation has been derived. The stability analysis has been carried out. The magnetic field stabilizes the unstable configuration for the wave number band K > K* in chich the system is unstable in the absence of the magnetic field. It is also found that for a potential stable arrangement for Walters B’ elastico-viscous fluids of different permeabilities in the presence of suspended particles through a porous medium the system is stable, whereas in the potentially unstable case instability of the system occurs.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 2; 407-416
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł

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