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    International Journal of Stability and Fluid Mechanics (IJSFM)




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    1 MHD Visco-Elastic Boundary Layer Flow Through Porous Medium with Free Convection Past a Continuous Moving Surface with Heat Source

    Author: Ajay Kumar Sharma, U. R. Singh, Rajeev Jha,(Pages:163-170)
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    Abstract:

    In the present paper the behavior of free convective boundary layer flow of an electrically conducting visco-elastic, incompressible fluid through porous medium over a continuously moving flat surface in the presence of uniform magnetic field with heat source and constant suction is studied. A uniform magnetic field is assumed to be applied perpendicular to the moving flat surface. The velocity, temperature and concentration field are obtained. The effect of various parameters on the velocity, temperature and concentration profile as discussed graphically.

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    3 Stability Of Incompressible Dusty Flow Between Two Rotating Cylinders in Presence of Magnetic Field

    Author: Gurpreet Kaur, Shivdeep Singh Patial,Arun Kumar,(Pages:171-179)
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    Abstract:

    In this Paper, we discuss the hydromagnetic stability of incompressible Dusty flow between two rotating Cylinders. Here we derived the equations of motion for clean fluid and then for dust particles. The effect of dust is explained by two parameters ; the concentration of dust and a relaxation time . The linearized Perturbation Equations of dust particles are explained under the assumption that the relaxation time is small and obtained the analytical results

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    5 Theoretical Investigation of Non-Linear Visco-Elastic Phenomena By Methods of Irreversible Thermodynamics

    Author: Prabir Kumar Shrivastava, Praveen Kumar , Deepika Sonal,Pankaj Kumar,(Pages:181-186)
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    Abstract:

    The paper deals with the theoretical investigation of non-linear visco-elastic phenomena by the method of irreversible thermodynamics. The simplest visco-elastic media are considered. The temperature of the medium T and some symmetric tensor aij characterizing recoverable shear deformation of the system are introduced as the thermodynamic parameters which are the arguments in the expression for the specific free energy f. The tensor aij is chosen as a basic parameter because it is assumed that at local thermodynamic equilibrium a fluid particle exhibits elastic properties. A non-equilibrium state develops through the fact that in elasto-viscous fluids unrecoverable shear rate deformation appears to be due to dissipative processes. For internally isotropic (isotropic at rest) fluids, the relation, f = f (T, A1, A2, A3, ) is valid. where Ak are basics invariants of the tensor aij (using Euler co-ordinate system ).

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    7 A Study of Vorticity of Hydromagnetic Free Convection Flow past an infinite Vertical Plate

    Author: P.K. Mittal, Yuv Raj Sharma, Ajay Sharma,(Pages:187-192)
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    Abstract:

    The present paper deals with the study of vorticity of hydromagnetic free convection flow past an infinite vertical plate. The vorticity of the flow has been found for different values of Prandtl number (P ), magnetic parameter (M), permeability parameter ( ), and Grashof number ( ). Some important conclusions have been drown on the effect of Prandtl number, magnetic parameter, permeability parameter and Grashof number over the vorticity of the flow.

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    9 MHD Flow of a Visco-Elastic (Walter’s Liquid Model-B) Fluid Through Porous Medium With Heat Source

    Author: Bhagwat Swarup, Kuldeep,(Pages:193-198)
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    Abstract:

    An analysis of unsteady flow of a visco-elastic (WALTER’S LIQUID MODEL-B) fluid through porous medium with heat source in presence of a uniform magnetic field is presented. The effect of Hartmann number M, porosity parameter K and visco-elastic coefficient E, Prandtl number Pr, Schmidt number Sc, heat source parameter S and time t on the velocity, temperature and concentration distribution are discussed graphically.

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    11 Flow of an Elastico-Viscous Second-Grade Fluid Due to a Rotating Disc With Uniform High Suction

    Author: H. G. Sharma, Parul Chaddha, P. Pradhan,(Pages:203-213)
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    Abstract:

    The present paper deals with the problem of the effects of uniform high suction on the flow of an elastico-viscous second-grade fluid due to a rotating disc. Solution for the governing non-linear equations has been obtained by series solution as well as numerical methods. Effects of suction and elastico-viscosity on the velocity field have been studied in detail and shown graphically.

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    13 A Note on the Vorticity in Effect of Thermal Diffusion on Steady Laminar Free Convective Flow Along a Moving Porous Hot Vertical Plate in the Presence of Heat Source with Mass Tansfer

    Author: S..K. Shakya,Shri Prakash,(Pages:211-214)
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    Abstract:

    The purpose of the present problem is to investigate the vorticity in effect of thermal diffusion on steady laminar free convective flow through porous medium along a moving porous hot vertical plate in the presence of heat source with mass transfer. The vorticity profiles Gr >0 (flow on a heated plate) are depicted graphically and discussed in detail. The skin friction coefficient is also obtained in this paper.

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    15 MHD Oscillatory Flow of a Micropolar Fluid Over a Semi-Infinite Vertical Moving Porous Plate Through a Porous Medium in The Presence of Thermal Radiation

    Author: T. Sankar Reddy, P. Roja, N. Bhaskar Reddy,(Pages:215-230)
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    Abstract:

    This paper investigates the influence radiation on the problem of the oscillatory two-dimensional laminar flow of a viscous incompressible electrically conducting micropolar fluid past a semi-infinite vertical moving porous plate embedded in a porous medium and subjected to a uniform transverse magnetic field in the presence of thermal radiation effects. The plate moves with constant velocity in the longitudinal direction. The Rosseland approximation is used to describe radiative heat transfer in the limit of optically thick fluids. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. It is observed that, when the radiation parameter increases the velocity and temperature decrease in the boundary layer, whereas when Grashof number increases the velocity increases. The results also show that there exists completely oscillatory behavior in the velocity distribution.

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    17 A Study of Vorticity of Unsteady Hydromagnetic Free Convective Flow of Stratified Viscous Fluid Past a Porous Vertical Plate

    Author: Ritu Arora, P.K. Shukla, Sonal Agarwal,(Pages:231-234)
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    Abstract:

    This paper deals with the study of the vorticity of unsteady hydromagnetic free convection of an incompressible electrically conducting viscous stratified liquid in a porous medium past a vertical plate, the flow is considered under the influence of transversely applied uniform magnetic field. It is assumed that the magnetic Reynolds number is very small so that the induced magnetic field is negligible. The effect of change in Grashoff number , Magnetic parameter (M) and Prandtl number on the vorticity of the flow has been studied and graphically represented.

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    19 Solution of Reaction–Diffusion Equations by using Homotopy Perturbation Method

    Author: Sanjeev Kumar, Ravendra Singh,(Pages:235-244)
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    Abstract:

    This work presents a homotopy perturbation method (HPM) to develop solution of the linear and nonlinear reaction–diffusion equations (Kolmogorov–Petrovsly–Piskunov Equations). Reaction–diffusion equations have special importance in engineering and sciences, and constitute a good model for many systems in various fields. One of the newest analytical methods to solve linear and nonlinear equations is the application of homotopy perturbation techniques. The HPM deforms a difficult problem into a simple problem which can be easily solved. The results are compared with Matlab solutions.

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    21 Heat Transfer Fluid Flow With or Without Porous Medium Under The Influence of Magnetic Field

    Author: Shammi Agrawal, M.P. Singh,(Pages:245-252)
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    Abstract:

    In the present paper we have investigated “Heat transfer fluid flow with or without porous medium under the Influence of Magnetic Field.” We have investigated temperature, velocity potential, stream function complex potential, stream line, path lines.

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    23 Spatial Stability of Spiral Flows

    Author: Ruchi Goel, Hari Kishan, Shweta Chaudhary,(Pages:253-260)
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    Abstract:

    In this paper, the spatial stability of spiral flows has been discussed. The spectrum of eigen values for has been obtained. Some necessary conditions of instability and sufficient conditions for stability have been established. Some results obtained by Kochar (1979) and Awasthi (1998) have been improved.

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    25 Spatial Stability of Stratified Compressible Shear Flows

    Author: Ruchi Goel, Hari Kishan, Neena Gupta,(Pages:261-268)
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    Abstract:

    In this paper, the spatial stability of stratified compressible shear flows has been discussed. An inviscid, stratified compressible fluid flow has been considered confined between two infinite horizontal rigid boundaries situated at and .vertical temperature gradient has also been considered. The necessary conditions of instability and sufficient conditions of stability have been obtained for general compressibility as well as weak compressibility. The spectrum of eigen values have been obtained.

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    27 Vorticity Of MHD Visco-Elastic Boundary Layer Flowthrough Porous Medium With Free Convection Past a Continuous Moving Surface

    Author: Anu Agarwal , M. P. Singh,(Pages:269-272)
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    Abstract:

    In the present paper the behavior of free convective boundary layer flow of an electrically conducting visco-elastic, incompressible fluid through porous medium over a continuous moving flat surface in the presence of uniform magnetic field with constant suction has been studied. A uniform magnetic field is assumed to be applied perpendicular to the moving flat surface. The vorticity field is obtained and the effect of Reynolds Number (R), Hartman Number (M), Grashoff Number (G) and permeability parameter (K) on Vorticity field has also been discussed with the help of graph.

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    29 Boimagnetic fluid flow in a Magnetohydrodynamics Pump

    Author: Seema Saini, S.K. Shakya, M.P. Singh,(Pages:273-278)
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    Abstract:

    An analytical approach has been carried out of the flow of incompressible Non-Newtonian biomagnetic fluid (blood) in magnetohydrodynamics (MHD) pump. In MHD pump the magnetic field creates dynamic electromotive force (emf) that moves the fluid forward. The purpose of this study is to numerically investigate the flow of blood as a Non-Newtonian fluid in a magnetohydrodynamics (MHD) pump. To solve the non-linear governing momentum and Maxwell’s equations, a computational fluid dynamics (CFD) finite difference method is utilized. The Variation of velocity with channel radius shows that the velocity is maximum at centre of duct and zero at walls and also the velocity increasing with magnetic field.

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    31 A Study of Sectionally Related Dispersion and Chemical Reaction Effects Through a Porous Medium

    Author: Mukesh Gupta, Parveen,(Pages:279-286)
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    Abstract:

    The present theoretical investigation is aimed at finding the influence of the cross-section on the equivalent dispersion coefficient of a solute in a non-Newtonian medium through a channel containing a porous medium by considering the Power law and Bingham plastic models of the fluids. It has been noted in both the cases, there is a steep rise in equivalent dispersion coefficient with the increase of width of the channel. Further the effect of a porous medium is seen in reduction of equivalent dispersion coefficient all through the region in case of Power law models, while reverse effect is seen in case of Bingham plastic model.

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    33 Thermal Instability of A Incompressible Stratified Fluid Layer in Porous Medium in The Presence of Vertical Magnetic Field

    Author: Sapna, Paramjeet Singh, Arun Kumar Tomer,(Pages:287-294)
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    Abstract:

    We have examined the stability of incompressible stratified fluid layer, when heated from below in porous medium and also examined this configuration in the presence of the magnetic field and we find a dispersion relation after using the normal mode technique. We found that the principle of exchange of stability (PES) is not valid for this system and for oscillatory modes, the marginal state does not exist and non oscillatory modes are unstable. Further we examined the nature of (dR_0)/(dQ_1 ) and ( dR_0)/(dB_1 ) of stationary convection and finally, We establish the variational principle of Rayleigh number.

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    35 Stability of Superposed Walters B’ Visco Elastic Fluids Immersed in Horizontal Magnetic Field

    Author: Pardeep Singh, Ravi Prakash Mathur,(Pages:295-302)
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    Abstract:

    The stability of the interface separating two superposed Walters B’ visco - elastic fluids immersed in a horizontal magnetic field. Employing the normal mode technique, the linearized perturbation equations have been solved and the dispersion relationhas beenderived. Foe several values of physical parameter involved, the dispersion relation has been solved numerically. It is found that the viscosity and magnetic field have stabilizing influence, while the viscoelastisity has destabilizing influence on the unstable configuration.

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    37 Effects of Thermal Radiation Diffusion on MHD Free Convection Flow past a Vertical Porous Plate

    Author: Venkata Ramana Reddy.G, Madana Mohana Rao.A, SriHari Babu.V,(Pages:303-310)
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    Abstract:

    In this paper is to study the effects of thermal radiation diffusion on Magnetohydrodynamics (MHD) free convective heat and mass transfer flow past a vertical porous plate taking Viscous and Darcy resistance terms into account and the constant permeability of the medium numerically. The governing nonlinear partial differential equations are solved by closed analytical method. The results are obtained for velocity, temperature and concentration profiles. The numerical results are presented graphically for different values of the parameters entering into the problem.

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    39 Flow of a Viscous Incompressible Fluid between Two Parallel Plates

    Author: Kapil Dave , Rakesh Dube,(Pages:311-318)
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    Abstract:

    An analysis is presented in the paper for the flow of a viscous incompressible fluid between two parallel plats, one in uniform motion and other at rest with uniform suctions. The Navier –Stoke’s equations with appropriate boundary conditions reduce to second and third order non-linear differential equations. An exact solution has been obtained by using perturbation method.

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    41 Effect of Hall Current on Mhd Visco-Elastic Boundary Layer Flow Through Porous Medium With Free Convection Past A Continuous Moving Surface With Heat Source/Sink

    Author: Vinod Kumar, Rajesh Johri and Rajeev Jha ,(Pages:319-330 )
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    Abstract:

    In the present paper we study of effect of hall current on free convective boundary layer flow of an electrically conducting visco-elastic, incompressible fluid through porous medium over a continuously moving flat surface in the presence of uniform magnetic field with heat source/sink and constant suction is studied. A uniform magnetic field is assumed to be applied perpendicular to the moving flat surface. The velocity, temperature and concentration field are obtained. The effect of various parameters on the velocity, temperature and concentration profile as discussed graphically.

    Keyword:

    Magneto hydrodynamics, visco-elastic, porous media, boundary layer flow, free convection, heat and mass transfer, heat source.

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