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Tytuł:
MHD flow of Walters’ liquid B over a nonlinearly stretching sheet
Autorzy:
Siddheshwar, P. G.
Mahabaleshwar, U. S.
Chan, A.
Powiązania:
https://bibliotekanauki.pl/articles/265047.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
analytical solution
magnetic field
nonlinear stretching sheet
Walters' liquid B
pole magnetyczne
blacha
rozciąganie blachy
Opis:
The paper discusses the boundary layer flow of a weak electrically conducting viscoelastic Walters’ liquid B over a nonlinearly stretching sheet subjected to an applied transverse magnetic field, when the liquid far awal from the surface is at rest. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. An analytical expression is obtained for the stream function and velocity components as a function of the viscoelastic parameter, the Chandrasekhar number and stretching related parameters. The results have possible technological applications in liquid based systems involving stretchable materials.
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 3; 589-603
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The complex Ginzburg Landau model for an oscillatory convection in a rotating fluid layer
Autorzy:
Manjula, S. H.
Kiran, P.
Reddy, P. Raj
Bhadauria, B. S.
Powiązania:
https://bibliotekanauki.pl/articles/266148.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
konwekcja
teoria nieliniowa
liczba Nusselta
convection
finite amplitude
nonlinear theory
rotation modulation
Nusselt number
Opis:
A weakly nonlinear thermal instability is investigated under rotation speed modulation. Using the perturbation analysis, a nonlinear physical model is simplified to determine the convective amplitude for oscillatory mode. A non-autonomous complex Ginzburg-Landau equation for the finite amplitude of convection is derived based on a small perturbed parameter. The effect of rotation is found either to stabilize or destabilize the system. The Nusselt number is obtained numerically to present the results of heat transfer. It is found that modulation has a significant effect on heat transport for lower values of ωf while no effect for higher values. It is also found that modulation can be used alternately to control the heat transfer in the system. Further, oscillatory mode enhances heat transfer rather than stationary mode.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 1; 75-91
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis and internal heating effect on oscillatory convection in a viscoelastic fluid saturated porous medium under gravity modulation
Autorzy:
Bhadauria, B. S.
Singh, M. K.
Singh, A.
Singh, B. K.
Kiran, P.
Powiązania:
https://bibliotekanauki.pl/articles/265014.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
analiza stabilności
grawitacja
ciecz lepkosprężysta
nonlinear stability analysis
complex Ginzburg-Landau equation
gravity modulation
internal heating
bifurcation
Opis:
In this paper, we investigate the combined effect of internal heating and time periodic gravity modulation in a viscoelastic fluid saturated porous medium by reducing the problem into a complex non-autonomous Ginzgburg-Landau equation. Weak nonlinear stability analysis has been performed by using power series expansion in terms of the amplitude of gravity modulation, which is assumed to be small. The Nusselt number is obtained in terms of the amplitude for oscillatory mode of convection. The influence of viscoelastic parameters on heat transfer has been discussed. Gravity modulation is found to have a destabilizing effect at low frequencies and a stabilizing effect at high frequencies. Finally, it is found that overstability advances the onset of convection, more with internal heating. The conditions for which the complex Ginzgburg-Landau equation undergoes Hopf bifurcation and the amplitude equation undergoes supercritical pitchfork bifurcation are studied.
Źródło:
International Journal of Applied Mechanics and Engineering; 2016, 21, 4; 785-803
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A finite element method for extended KdV equations
Autorzy:
Karczewska, A.
Rozmej, P.
Szczeciński, M.
Boguniewicz, B.
Powiązania:
https://bibliotekanauki.pl/articles/330630.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
shallow water wave problem
nonlinear equations
second order KdV equations
finite element method
Petrov–Galerkin method
Opis:
The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov–Galerkin method are used. It is shown that the FEM gives a reasonable description of the wave dynamics of soliton waves governed by extended KdV equations. Some new results for several cases of bottom shapes are presented. The numerical scheme presented here is suitable for taking into account stochastic effects, which will be discussed in a subsequent paper.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 555-567
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
Reconfigurable control design with integration of a reference governor and reliability indicators
Autorzy:
Weber, P.
Boussaid, B.
Khelassi, A.
Theilliol, D.
Aubrun, C.
Powiązania:
https://bibliotekanauki.pl/articles/331471.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system tolerujący uszkodzenia
szacowanie niezawodności
fault tolerant control system
control allocation
reliability estimation
performance degradation
reference governor
Opis:
A new approach to manage actuator redundancy in the presence of faults is proposed based on reliability indicators and a reference governor. The aim is to preserve the health of the actuators and the availability of the system both in the nominal behavior and in the presence of actuator faults. The use of reference governor control allocation is a solution to distribute the control efforts among a redundant set of actuators. In a degraded situation, a reconfigured control allocation strategy is proposed based on on-line re-estimation of the actuator reliability. A benefit of incorporating reliability indicators into over-actuated control system design is the smart management of the redundant actuators and improvement of the system safety. Moreover, when the fault is severe, an adaptation approach using the reference governor is proposed. The reference governor unit is a reference-offset governor based on a discrete-time predictive control strategy. The idea is to modify the reference according to the system constraints, which become stricter after the occurrence of an actuator fault. The proposed approach is illustrated with a flight control application.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 139-148
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid in plane-strain form
Autorzy:
Shanker, B.
Nath, C. N.
Shah, S. A.
Reddy, P. M.
Powiązania:
https://bibliotekanauki.pl/articles/265190.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
teoria Biota
częstotliwość
wibracje
prędkość fazowa
Biot's theory
fluid-loaded poroelastic cylinder
frequency
planestrain vibrations
phase velocity
Opis:
Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 1; 189-216
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solutions to integral equations equivalent to differential equations with fractional time
Autorzy:
Bandrowski, B.
Karczewska, A.
Rozmej, P.
Powiązania:
https://bibliotekanauki.pl/articles/907763.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie ułamkowe
metoda Galerkina
dyfuzja anomalna
fractional equations
Galerkin method
anomalous diffusion
Opis:
This paper presents an approximate method of solving the fractional (in the time variable) equation which describes the processes lying between heat and wave behavior. The approximation consists in the application of a finite subspace of an infinite basis in the time variable (Galerkin method) and discretization in space variables. In the final step, a large-scale system of linear equations with a non-symmetric matrix is solved with the use of the iterative GMRES method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 261-269
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Identification of parametric models with a priori knowledge of process properties
Autorzy:
Janiszowski, K. B.
Wnuk, P.
Powiązania:
https://bibliotekanauki.pl/articles/330128.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
absolute error measure
constrained parameters estimation
parametric MISO models
błąd bezwzględny
estymacja parametrów
model parametryczny
Opis:
An approach to estimation of a parametric discrete-time model of a process in the case of some a priori knowledge of the investigated process properties is presented. The knowledge of plant properties is introduced in the form of linear bounds, which can be determined for the coefficient vector of the parametric model studied. The approach yields special biased estimation of model coefficients that preserves demanded properties. A formula for estimation of the model coefficients is derived and combined with a recursive scheme determined for minimization of the sum of absolute model errors. The estimation problem of a model with known static gains of inputs is discussed and proper formulas are derived. This approach can overcome the non-identifiability problem which has been observed during estimation based on measurements recorded in industrial closed-loop control systems. The application of the proposed approach to estimation of a model for an industrial plant (a water injector into the steam flow in a power plant) is presented and discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 767-776
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
Generation of surface waves due to initial axisymmetric surface disturbance in water with a porous bottom
Autorzy:
Kundu, P.
Mandal, B. N.
Powiązania:
https://bibliotekanauki.pl/articles/265312.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
transformata Laplace'a
powierzchnia porowata
transformata Henkel'a
axisymmetric surface disturbance
porous bottom
Laplace and Hankel transform
method of stationary phase
free surface depression
Opis:
A two-dimensional Cauchy Poisson problem for water with a porous bottom generated by an axisymmetric initial surface disturbance is investigated here. The problem is formulated as an initial value problem for the velocity potential describing the motion in the fluid. The Laplace and Hankel transform techniques have been used in the mathematical analysis to obtain the form of the free surface in terms of a multiple infinite integral. This integral is then evaluated asymptotically by the method of stationary phase. The asymptotic form of the free surface is depicted graphically in a number of figures for different values of the porosity parameter and for different types of initial disturbances.
Źródło:
International Journal of Applied Mechanics and Engineering; 2019, 24, 3; 625-644
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:
Synteza i właściwości sorpcyjne organo-zeolitów Synteza i właściwości sorpcyjne organo-zeolitów
Synthesis and sorption properties of organo-zeolites
Autorzy:
Szala, B.
Turek, P.
Jeleń, A.
Bajda, T.
Powiązania:
https://bibliotekanauki.pl/articles/371968.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sorpcja
surfaktant
chromiany
HDTMA
sorption
surfactant
chromate
Opis:
Wykorzystanie czwartorzędowych soli amoniowych do modyfikacji powierzchni zeolitów naturalnych i syntetycznych doprowadziło do powstania materiału o lepszych właściwościach sorpcyjnych. Celem badań było porównanie właściwości sorpcyjnych otrzymanych organo-zeolitów naturalnych i syntetycznych na przykładzie usuwania związków chromu z roztworów.
The use of quaternary ammonium salts for modifying the surface of natural and synthetic zeolites, resulted in the formation of a material with better sorption characteristics. The aim of the study was to compare the sorption properties of natural and synthetic organo-zeolites obtained through the removal of chromium compounds from solution.
Źródło:
Zeszyty Naukowe. Inżynieria Środowiska / Uniwersytet Zielonogórski; 2013, 150 (30); 5-12
1895-7323
Pojawia się w:
Zeszyty Naukowe. Inżynieria Środowiska / Uniwersytet Zielonogórski
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory MHD convective flow of second order fluid through porous medium in a vertical rotating channel in slip-flow regime with heat radiation
Autorzy:
Garg, B. P.
Singh, K. D.
Bansal, A. K.
Powiązania:
https://bibliotekanauki.pl/articles/264392.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
slip flow
convective
porous medium
rotating
oscillatory
radiation
second order fluid
porowatość
promieniowanie
magnetohydrodynamika
Opis:
An analysis of an oscillatory magnetohydrodynamic (MHD) convective flow of a second order (viscoelastic), incompressible, and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel porous plates is presented. The two porous plates with slip-flow condition and the no-slip condition are subjected respectively to a constant injection and suction velocity. The pressure gradient in the channel varies periodically with time. A magnetic field of uniform strength is applied in the direction perpendicular to the planes of the plates. The induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The temperature of the plate with no-slip condition is non-uniform and oscillates periodically with time and the temperature difference of the two plates is assumed high enough to induce heat radiation. The entire system rotates in unison about the axis perpendicular to the planes of the plates. Adopting complex variable notations, a closed form solution of the problem is obtained. The analytical results are evaluated numerically and then presented graphically to discuss in detail the effects of different parameters of the problem. The velocity, temperature and the skin-friction in terms of its amplitude and phase angle have been shown graphically to observe the effects of the viscoelastic parameter γ, rotation parameter Ω, suction parameter […], Grashof number Gr, Hartmann number M, the pressure A, Prandtl number Pr, radiation parameter N and the frequency of oscillation […].
Źródło:
International Journal of Applied Mechanics and Engineering; 2015, 20, 1; 33-52
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-Newtonian momentum transfer past an isothermal stretching sheet with applied suction
Autorzy:
Veena, P. H.
Suresh, B.
Pravin, V. K.
Goud, A. M.
Powiązania:
https://bibliotekanauki.pl/articles/264590.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
non-Newtonian fluid
magnetic field
permeability
effect of viscoelasticity
płyn nieniutonowski
pole magnetyczne
przepuszczalność
lepkosprężystość
Opis:
The paper discusses the flow of an incompressible non-Newtonian fluid due to stretching of a plane elastic surface in a saturated porous medium in the approximation of boundary layer theory. An exact analytical solution of non-linear MHD momentum equation governing the self-similar flow is given. The skin friction co-efficient decreases with an increase in the visco-elastic parameter k1 and increase in the values of both the magnetic parameter and permeability parameter.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 3; 665-674
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł

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