Free convection effects on steady MHD flow past a vertical porous plate

1974 ◽  
Vol 66 (3) ◽  
pp. 541-551 ◽  
Author(s):  
V. M. Soundalgekar
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Porous Plate ◽  
Mhd Flow ◽  
Approximate Solutions ◽  
Magnetic Reynolds Number ◽  
Plate Temperature ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
The Difference

An analysis of two-dimensional steady flow of an incompressible, viscous, electrically conducting fluid past an infinite vertical porous plate is carried out under the following assumptions: (i) that the suction velocity normal to the plate is constant, (ii) that the plate temperature is constant, (iii) that the difference between the temperatures of the plate and the free stream is moderately large, causing free convection currents, (iv) that the transversely applied magnetic field and magnetic Reynolds number are very small and hence the induced magnetic field is negligible.Approximate solutions to the coupled nonlinear equations governing the steady velocity and temperature are derived. They are shown graphically. During the course of discussion, the effects of positive and negative G (the Grashof number: G > 0 implies cooling of the plate, G < 0 heating of the plate), of P (the Prandtl number), of positive and negative E (the Eckert number) and of M (the magnetic field parameter) are presented quantitatively.

scholarly journals Radiation effects on unsteady MHD free convection with Hall current near an infinite vertical porous plate

2001 ◽  
Vol 26 (4) ◽  
pp. 249-255 ◽  
Author(s):  
Mohamed A. Seddeek ◽  
Emad M. Aboeldahab
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Radiation Effects ◽  
Porous Plate ◽  
Transverse Magnetic ◽  
Convection Flow ◽  
Suction Velocity ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
Effects Of Radiation

Radiation effect on unsteady free convection flow of an electrically conducting, gray gas near equilibrium in the optically thin limit along an infinite vertical porous plate are investigated in the presence of strong transverse magnetic field imposed perpendicularly to the plate, taking Hall currents into account. A similarly parameter length scale (h), as a function of time and the suction velocity are considered to be inversely proportional to this parameter. Similarity equations are then derived and solved numerically using the shooting method. The numerical values of skin friction and the rate of heat transfer are represented in a table. The effects of radiation parameter, Hall parameter, and magnetic field parameters are discussed and shown graphically.

scholarly journals Free Convective Fluctuating MHD Flow through Porous Media Past a Vertical Porous Plate with Variable Temperature and Heat Source

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
A. K. Acharya ◽  
G. C. Dash ◽  
S. R. Mishra
Keyword(s):  
Porous Media ◽  
Heat Source ◽  
Variable Temperature ◽  
Porous Plate ◽  
Flow Characteristics ◽  
Mhd Flow ◽  
Plate Temperature ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
Heating And Cooling

Free convective magnetohydrodynamics (MHD) flow of a viscous incompressible and electrically conducting fluid past a hot vertical porous plate embedded in a porous medium in the presence of heat source has been studied in this paper. The temperature of the plate varies both in space and time. The main objective of this paper is to study the effect of porosity of the medium coupled with the variation of plate temperature with regard to space and in time. The effect of pertinent parameters characterizing the flow has been presented through the graphs. It is important to record that the presence of porous media has no significant contribution to the flow characteristics and viscous dissipation compensates for the heating and cooling of the plate due to convective current.

scholarly journals Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Winifred Nduku Mutuku-Njane ◽  
Oluwole Daniel Makinde
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Volume Fraction ◽  
Solid Volume Fraction ◽  
Porous Plate ◽  
Mhd Flow ◽  
Slip Boundary Condition ◽  
Navier Slip ◽  
Vertical Porous Plate ◽  
Water Based

We examine the effect of magnetic field on boundary layer flow of an incompressible electrically conducting water-based nanofluids past a convectively heated vertical porous plate with Navier slip boundary condition. A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically by employing fourth-order Runge-Kutta with a shooting technique. Three different water-based nanofluids containing copper (Cu), aluminium oxide (Al2O3), and titanium dioxide (TiO2) are taken into consideration. Graphical results are presented and discussed quantitatively with respect to the influence of pertinent parameters, such as solid volume fraction of nanoparticles (φ), magnetic field parameter (Ha), buoyancy effect (Gr), Eckert number (Ec), suction/injection parameter (fw), Biot number (Bi), and slip parameter (β), on the dimensionless velocity, temperature, skin friction coefficient, and heat transfer rate.

scholarly journals Effects of Thermal Diffusion and Viscous Dissipation on Unsteady MHD Free Convection Flow Past a Vertical Porous Plate Under Oscillatory Suction Velocity with Heat Sink

2014 ◽  
Vol 19 (2) ◽  
pp. 303-320 ◽  
Author(s):  
B. Prabhakar Reddy
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Thermal Diffusion ◽  
Viscous Dissipation ◽  
Porous Plate ◽  
Numerical Data ◽  
Convection Flow ◽  
Suction Velocity ◽  
Electrically Conducting ◽  
Vertical Porous Plate

Abstract The thermal diffusion and viscous dissipation effects on an unsteady MHD free convection heat and mass transfer flow of an incompressible, electrically conducting, fluid past an infinite vertical porous plate embedded in a porous medium of time dependent permeability under oscillatory suction velocity in the presence of a heat absorbing sink have been studied. It is considered that the influence of a uniform magnetic field acts normal to the flow and the permeability of the porous medium fluctuates with time. The dimensionless governing equations for this investigation have been solved numerically by using the efficient Galerkin finite element method. The numerical results obtained have been presented through graphs and tables for the thermal Grashof number (Gr > 0) corresponding to the cooling of the porous plate and (Gr < 0) corresponding to heating of the porous plate to observe the effects of various material parameters encountered in the problem under investigation. Numerical data for skin-friction, Nusselt and Sherwood numbers are tabulated and then discussed.

scholarly journals Skin-friction for unsteady free convection MHD flow between two heated vertical parallel plates

2006 ◽  
Vol 33 (4) ◽  
pp. 259-280 ◽  
Author(s):  
Gopal Singha ◽  
P.N. Deka
Keyword(s):  
Free Convection ◽  
Skin Friction ◽  
Mhd Flow ◽  
Reynolds Numbers ◽  
Magnetic Reynolds Number ◽  
Convection Flow ◽  
Fluid Temperature ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Induced Field

Unsteady viscous incompressible free convection flow of an electrically conducting fluid between two heated vertical parallel plates is considered in the presence of a uniform magnetic field applied transversely to the flow. The induce field along the lines of motion varies transversely to the flow and the fluid temperature changing with time. An analytical solution for velocity, induced field and the temperature distributions are obtained for small and large magnetic Reynolds numbers. The skin-friction at the two plates is obtained. Velocity distribution, induced field and skin-friction are plotted against the distance from the plates. It has been observed that with the increase in Rm, the magnetic Reynolds number, at constant M, the Hartmann number, leads to an increase in the skin-friction gradually. But with the increase in M, at constant Rm, the skin-friction decreases.

scholarly journals Effects of rotation on MHD flow past an accelerated isothermal vertical plate with heat and mass diffusion

2010 ◽  
Vol 37 (3) ◽  
pp. 189-202 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
Tina Lal ◽  
D. Ranganayakulu
Keyword(s):  
Magnetic Field ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Plate Temperature ◽  
Grashof Number ◽  
Electrically Conducting ◽  
Laplace Transform Technique ◽  
Effects Of Rotation

An exact analysis of rotation effects on unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of transversely applied magnetic field has been presented. The plate temperature is raised to Tw and the concentration level near the plate is also raised to C?w . The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing magnetic field parameter.

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