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    International Journal of Stability and Fluid Mechanics (IJSFM)




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    List of papers

    1 A Note on Vorticity of MHD Flow of Continuously Moving Vertical Surface with Uniform Heat and Mass Transfer

    Author: Alok Darshan Kothiyal, Vinay Sharma, Sunil Kumar Thakur,(Pages: 01-08)
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    Abstract:

    The present paper deals with the study of vorticity of magneto hydrodynamic flow of continuously moving vertical surface with uniform heat and mass transfer. The effect of magnetic parameter (M), Prandtl number (P_r), Grashof number (G_r), Modified Grashof number (G_m) and Schimdt number (S_c) on the vorticity distribution are discussed tables and graphically.

    Keyword:

    vorticity, MHD Flow, Heat transfer, Magnetic Parameter, Grashof number, Modified Grashof number, Prandtle number, Schmidt number.

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    3 Effect of Magnetic Field on Unsteady Blood Flow Through a Narrow Tube

    Author: S.R. Verma and Anuj Srivastava,(Pages:09-18)
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    Abstract:

    In this paper a mathematical model has been developed for studying blood flow through a narrow tube in the presence of magnetic field. The laminar, incompressible, fully developed two layered Newtonian flow of blood in narrow tube is studied under the action of transverse magnetic field. The analytical results obtained in the proposed model for flow rate and apparent viscosity have been evaluated numerically for various values of the parameter available from published works. The results are discussed graphically for different Hartman number and Womersely frequency parameter. Effect of peripheral layer thickness on flow rate and apparent viscosity is also discussed.

    Keyword:

    Unsteady flow, magnetic field, peripheral layer, apparent viscosity, Hartmann number

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    5 On the vorticity of unsteady MHD free convection flow with mass transfer through Porous medium past a porous vertical moving plate

    Author: Alok Darshan Kothiyal, Vinay Sharma, Sunil Kumar Thakur,(Pages:19-26)
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    Abstract:

    The paper is devoted to a study of a vorticity of the unsteady MHD free convection flow through porous medium with heat and mass transfer past a porous vertical moving plate with heat source /sink. The vorticity of the flow has been found for different values of Prandtl number ( ) and Schimdt number ( ). The results of various material parameters are discussed on the flow variables and are presented by tables and graphs.

    Keyword:

    Vorticity MHD, Porous medium vertical plate, free convection flow, Heat transfer.

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    7 Effect of Hall Currents on MHD Free Convection Flow of Stratified Viscous Fluid with Heat and Mass Transfer Past a Vertical Porous Plate

    Author: Sunil Kumar Sharma, and N. K. Varshney,(Pages: 27-34)
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    Abstract:

    A study of the effect of Hall Currents on MHD free convection flow of stratified viscous fluid past a vertical porous plate with heat and mass transfer taking viscous and Darcy resistance terms into account and the constant permeability of the medium numerically and neglecting induced magnetic field in comparison to applied strong magnetic field is investigated. The velocity, temperature and concentration distributions are derived and discussed numerically with the helps of graphs and tables. It is observed that velocity increases with the increase in Gr (Grashof number), K (Permeability parameter) and m (Hall currents parameter), but it decreases with the increase in M(Magnetic parameter).

    Keyword:

    Heat and mass transfer, Free convection, MHD flow, Porous medium, Vertical plate, Stratified viscous fluid, Hall Currents

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    9 Stratified Oldroyd Fluid Effect on Mhd Free Convection Flow With Heat and Mass Transfer Past a Vertical Porous Plate

    Author: Deepak Kumar and N. K. Varshney,(Pages:35-42)
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    Abstract:

    A study of the effect of stratified Oldroyd fluid on MHD free convection flow past a vertical porous plate with heat and mass transfer and neglecting induced magnetic field in comparison to applied magnetic field is investigated. The velocity, temperature and concentration distributions are derived and discussed numerically with the helps of graphs and tables. It is observed that velocity increases with the increase in Gr (Grashof number) and K (Permeability parameter), but it decreases with the increase in M(Magnetic parameter) and Visco-elastic parameter). The velocity increases with the increase in Visco-elastic parameter) up to y = 2, then decreases.

    Keyword:

    Heat and mass transfer, Free convection, MHD flow, Porous medium, Vertical plate, Stratified Oldroyd fluid

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    11 A Note on Vorticity of MHD Free Convection and Mass Transfer Flow of Kuvshinshki fluid through Porous Medium with Constant Heat and Mass flux Across moving plate

    Author: Sangeeta Tyagi, S. R. Ansari,(Pages:43-54)
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    Abstract:

    The present paper deals with the study of vorticity of MHD free convection and mass transfer Flow of Kuvshinshki fluid through porous medium with constant Heat and Mass flux across moving plate. The vorticity of the flow has been found for different values of Magnetic Parameter (M), Grashoff number for heat transfer (Gr), Grashoff number for mass transfer (Gm),Prandtle number (Pr) and Schimdt number (Sc). It is concluded that the vorticity decreases with the increases in Magnetic Parameter (M), Schimdt number (Sc), and Prandtle number (Pr) and other hand vorticity increases with the increases Grashoff number (Gr).

    Keyword:

    MHD flow, Free convection, Porous medium, Heat and mass flux, Vorticity.

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    13 Study of Blood Flow Through Modelled Vascular Stenosis

    Author: S.R. Verma,(Pages:55-64)
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    Abstract:

    The effect of an axially symmetric mild stenosis on the steady flow of blood, when blood is represented by Newtonian model have been studied. Theoretical results for the velocity profile, pressure gradient, wall shearing stress and separation phenomena are obtained by solving the momentum integral equation. The results obtained are discussed graphically for mild stenosis for Reynolds number (Re) of Re = 10-100 and the significance of the analysis are pointed out by comparing the results with similar studies. Our results are in good agreement with published experimental and theoretical results.

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    15 Thermal Diffusion Effect on Steady Laminar Free Convective Flow of Viscous Fluid Along a Moving Porous Hot Vertical Plate

    Author: Deepak Kumar, N. K. Varshney,(Pages:65-72)
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    Abstract:

    The purpose of the present problem is to study the thermal diffusion effect on steady laminar free convective flow of an electrically conducting viscous fluid through porous medium along a moving porous hot vertical plate in the presence of heat source with mass transfer. The governing equations of motions are solved by a regular perturbation technique. The velocity of fluid, skin friction, temperature and concentration are discussed with the help of tables and graphs. The velocity of fluid increases with the increase in Gr (Grashof number), K (Porosity parameter) and A (Thermal diffusion parameter), but it decreases with the increase in M (Hartman number).

    Keyword:

    An electrically conducting fluid, MHD Flow, Thermal diffusion Heat transfer, Mass transfer, Heat Source, Porous medium.

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    17 Vertical Magnetic Thermal Instability of an Incompressible Stratified Fluid Layer in Porous Medium with Free Boundaries

    Author: Pranay Tanwar, Dr. N. K. Gaur,(Pages:73-82)
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    Abstract:

    The paper examines the linear stability of viscous, electrically conducting, incompressible fluid of variable density in the presence of vertical magnetic field. The analysis has been done for three dimensional distributions. The condition of stability for the oscillatory and non-oscillatory modes is examined. Finally, the characteristic equation for the oscillatory and non-oscillatory modes is also obtained.

    Keyword:

    Incompressible fluids, porosity, magnetic field, Rayleigh number

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    19 Effect of Hall Currents on MHD Free Convective Flow of Dusty Oldroyd Fluid Through a Porous Medium Bounded by an Oscillating Porous Plate in Slip Flow Regime with Heat Source/Sink

    Author: Harish Chandra Sharma, P. C. Gupta, and N. K. Varshney,(Pages:83-90)
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    Abstract:

    An analysis of velocity, temperature, concentration and skin friction of a dusty Oldroyd fluid of small electrical conductivity in a porous medium near an oscillating infinite porous flat plate in slip flow regime under influence of a strong transverse magnetic field of uniform strength is carried out. In this study velocity of fluid increases with the increase in Gm (Modified Grashof number), K (Porosity parameter) and m (Hall currents parameter), but it decreases with the increase in M (Hartmann number).

    Keyword:

    Hall Currents, Dusty Fluid, Oldroyd Fluid, Porous medium, Convective Flow, Heat source/sink, Slip flow regime.

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    21 Effect of Oldroyd Fluid on Double-Diffusive Convection- Radiation Interaction on Unsteady MHD Flow Over a Vertical Moving Porous Plate with Heat Generation and Soret Effects

    Author: Navin Kumar Agrawal, V. P. Agrawal and N. K. Varshney,(Pages:91-102)
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    Abstract:

    The objective of present problem is to study effect of Oldroyd fluid on double-diffusive convection- radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and Soret effects. The fluid is considered to be a gray, absorbing emitting but non scattering medium, and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The plate moves with constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. A uniform magnetic field acts perpendicular to the porous surface. The effects of various parameters on the velocity, temperature and concentration fields as well as the skin friction coefficient are presented graphically and in tabulated forms.

    Keyword:

    Oldroyd fluid; MHD; boundary layer; porous medium; thermal radiation; chemical reaction; thermal diffusion; heat generation

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    23 Effect of Mass Transfer on MHD Flow of Visco-Elastic Fluid of An Arbitrary Inclined Plane

    Author: Manoj Nagaich, Virendra Prasad and N. K. Varshney,(Pages:103-108)
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    Abstract:

    The effect of Mass transfer on the flow of visco-elastic conducting fluid of Rivlin – Ericksen type flowing down an inclined plane in presence of a transverse magnetic field is investigated. This type of problem finds application in many technological and engineering fields such as rocket propulsion systems, space craft re-entry aerothermodynamics, cosmical flight aerodynamics, plasma physics, Glass production and furnace engineering. Velocity of the flow has been presented for various parameters. In this study velocity of fluid increases with the increase in Gm (Grashof number), but it decreases with the increase in H (Hartmann number) and Sc (Schmidt number).

    Keyword:

    Rivlin-Ericksen fluid, Magnetic field, Mass transfer, An arbitrary inclined plane

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    25 Analysis of an Unsteady MHD Convective Heat and Mass Transfer Flow of a Micropolar Fluid Over a Semi Vertical Pereable Plate Embedded in a Porous Medium With Effect of Chemical Reaction and Suction

    Author: Rajiv Dwivedi and B.B. Singh,(Pages:109-124)
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    Abstract:

    Analytical solutions for heat and mass transfer by laminar flow of a Micropolar fluid, electrically conducting and heat generation fluid on a continuously vertical permeable surface in the presence of a first-order homogeneous chemical reaction and the mass flux are reported. The plate is assumed to move with a constant velocity in the direction of fluid flow. A uniform magnetic field acts perpendicular to the porous surface, which absorbs the fluid with a suction velocity varying with time. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic func1tions. Graphical results for velocity, temperature and concentration profiles of both phases based on the analytical solutions are presented and discussed.

    Keyword:

    Micropolar fluid, MHD convection, Porous medium.

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    27 Stability of Superposed Viscoelastic (Walters B’) Fluids in the Presence of Suspended Particles through Anisotropic Porous Medium

    Author: Sudhir Kumar Yadav, Aabhas Goel ,Ruchi Goel and Anuj Agarwal,(Pages: 125-135)
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    Abstract:

    The Rayleigh – Taylor instability of a Newtonian viscous fluid overlying walters B’ viscoelastic fluid containing suspended particles in an anisotropic porous medium is considered. For the stable configuration the system is found to be stable or unstable if , depending on Kinematic viscoelasticity, permeability of the medium and density of the medium. The system is found to be unstable in the potentially unstable case. The effects of a variable horizontal magnetic field and a uniform rotation are also considered. For the stable configuration in the hydromagnetic case also, the system is found to be stable or unstable if . However, for the unstable configuration, the magnetic field and viscoelasticity have got stabilizing effects. The system is found to be unstable for the potentially unstable case, for highly viscous fluids, in the presence of a uniform rotation.

    Keyword:

    Rayleigh – Taylor Instability, Walters B’ Viscoelastic Fluids; Suspended Particles; Anisotropic Porous Medium

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