scholarly journals Effects of Unsteady Free Convective MHD Non-Newtonian Flow Through a Porous Medium Bounded by an Infinite Inclined Porous Plate

2010 ◽  
Vol 9 (2) ◽  
pp. 6-20
Author(s):  
N. Ananda Reddy ◽  
M. C. Raju ◽  
S. Vijay Kumar Varma
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Sink Strength ◽  
Solution Rate ◽  
Electrically Conducting ◽  
Constant Suction ◽  
Permeability Parameter ◽  
Flow Through

The problem of unsteady free convective MHD incompressible electrically conducting non-Newtonian fluid through porous medium bounded by on infinite inclined porous plate in the presence of constant suction and absorbing sinks is presented. Uniform magnetic field is applied normal to the plate. The equations governing the fluid flow have been solved using multi-parameter perturbation technique, subject to the relevant boundary conditions. It is noted that the velocity of the fluid and skin friction ore increased as permeability parameter and angle of inclination increases, whereas reverse phenomenon is observed in case of magnetic field strength and sink strength. Velocity and temperature are greater for mercury than that of electrolytic solution. Rate of heat transfer decreases with increase in the sink strength. The results ore discussed through graphs and tables.

scholarly journals Soret effects due to natural convection in a non-Newtonian fluid flow in porous medium with heat and mass transfer

2014 ◽  
Vol 11 (2) ◽  
pp. 147-156 ◽  
Author(s):  
M.C Raju ◽  
S.V.K Varma
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Porous Plate ◽  
Sink Strength ◽  
Suction Parameter ◽  
Electrically Conducting ◽  
Highly Nonlinear ◽  
Constant Suction

The problem of unsteady MHD free convective, incompressible electrically conducting, non-Newtonian fluid through porous medium bounded by an infinite porous plate in the presence of constant suction has been studied. A magnetic field of uniform strength is assumed to be applied normal to the plate. The equations governing the fluid flow which are highly nonlinear are reduced to linear by using perturbation method and have been solved subject to the relevant boundary conditions. It is noted that the velocity of the fluid is increased as Soret number and suction parameter increase, whereas reverse phenomenon is observed in case of magnetic field strength and sink strength. DOI: http://dx.doi.org/10.3329/jname.v11i2.17563

Magnetohydrodynamic unsteady free convective flow through a porous medium bounded by an infinite vertical porous plate

1986 ◽  
Vol 64 (1) ◽  
pp. 84-89 ◽  
Author(s):  
Nabile T. El Dabe
Keyword(s):  
Porous Medium ◽  
Porous Plate ◽  
Transverse Magnetic ◽  
Convection Flow ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
Flow Phenomena ◽  
Permeability Parameter ◽  
Flow Through ◽  
K Permeability

Unsteady, free convection flow of an incompressible electrically conducting viscous liquid through a porous medium past a hot, vertical, porous plate in the presence of a transverse magnetic field has been studied in this paper. The flow phenomena have been characterized by the nondimensional numbers P (Prandtl number), G (Grashoff number), M (magnetic number), W (frequency parameter), and K (permeability parameter). The effect of these parameters on the velocity and temperature distribution, the skin friction, and the heat flux have been tabulated and represented graphically.

scholarly journals Chemical Reaction Effects on MHD Free Convective Flow through Porous Medium with Constant Suction and Heat Flux

2016 ◽  
Vol 3 (3) ◽  
Author(s):  
B. Seshaiah ◽  
S.V.K. Varma
Keyword(s):  
Heat Flux ◽  
Porous Medium ◽  
Constant Heat Flux ◽  
Free Convective Flow ◽  
Suction Velocity ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Constant Suction ◽  
Flow Through ◽  
Transfer Flow

<div><p><em>The Objective of the present study is to investigate to free convection and mass transfer flow of a viscous incompressible and electrically conducting fluid through a porous medium bounded by vertical infinite surface with constant suction velocity and constant heat flux under the action of uniform magnetic field applied normal to the direction of flow.</em></p></div>

scholarly journals Hall and Ion Slip Influence on Mixed Convective Magnetohydrodynamic Oscillatory Flow through a Permeable Medium in Presence of Thermal Diffusion

2020 ◽  
Vol 6 (11) ◽  
pp. 26-33
Author(s):  
S. Aiswarya
Keyword(s):  
Oscillatory Flow ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
Linear Partial Differential Equations ◽  
Electrically Conducting Fluid ◽  
Ion Slip ◽  
Dimensional Parameters ◽  
Flow Through

The aim of this study is to analyze the effect of Hall and ion slip on viscous incompressible electrically conducting fluid bounded by a vertical porous plate in the presence of chemical reaction and thermal radiation subject to oscillatory suction. The resulting coupled non-linear partial differential equations are solved analytically by applying perturbation technique. The influences of various non-dimensional parameters on velocity, temperature and concentration profiles were discussed numerically.

scholarly journals Unsteady MHD Free Convection and Mass Transfer Flow Through a Vertical Oscillatory Porous Plate in a Rotating Porous Medium with Hall, Ion-slip Currents and Heat Source

2016 ◽  
Vol 64 (2) ◽  
pp. 91-98
Author(s):  
Md Delowar Hossain ◽  
Md Abdus Samad ◽  
Md Mahmud Alam
Keyword(s):  
Viscous Incompressible Fluid ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Concentration Field ◽  
Harmonic Oscillation ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Ion Slip ◽  
Flow Through ◽  
Transfer Flow

The analytical solution is made on the unsteady flow of an electrically conducting viscous incompressible fluid bounded by an infinite vertical porous plate. The plate executes harmonic oscillation at a frequency n in its own plane. The governing equations of the problem contain coupled partial differential equations. The dimensionless equations are solved analytically using perturbation technique. The effect of various parameters of the problem on the velocity, temperature and concentration field within the boundary layer are discussed and shown graphically. Dhaka Univ. J. Sci. 64(2): 91-98, 2016 (July)

scholarly journals Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration

2012 ◽  
Vol 2012 ◽  
pp. 1-26 ◽  
Author(s):  
Islam M. Eldesoky
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
The Body ◽  
Slip Condition ◽  
Boundary Slip ◽  
Body Acceleration ◽  
Electrically Conducting ◽  
The Laplace Transform ◽  
Permeability Parameter ◽  
Magnetic Resonance Imaging Mri

Unsteady pulsatile flow of blood through porous medium in an artery has been studied under the influence of periodic body acceleration and slip condition in the presence of magnetic field considering blood as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace transform. With a view to illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity, wall shear stress, and fluid acceleration are given. The slip condition plays an important role in shear skin, spurt, and hysteresis effects. The fluids that exhibit boundary slip have important technological applications such as in polishing valves of artificial heart and internal cavities. The effects of slip condition, magnetic field, porous medium, and body acceleration have been discussed. The obtained results, for different values of parameters into the problem under consideration, show that the flow is appreciably influenced by the presence of Knudsen number of slip condition, permeability parameter of porous medium, Hartmann number of magnetic field, and frequency of periodic body acceleration. The study is useful for evaluating the role of porosity and slip condition when the body is subjected to magnetic resonance imaging (MRI).

Hall and Ion Slip Influence on Mixed Convective Magnetohydrodynamic Oscillatory Flow through a Permeable Medium in Presence of Thermal Diffusion

2020 ◽  
Vol 6 (11) ◽  
pp. 26-33
Author(s):  
S. Aiswarya
Keyword(s):  
Oscillatory Flow ◽  
Perturbation Technique ◽  
Porous Plate ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
Linear Partial Differential Equations ◽  
Electrically Conducting Fluid ◽  
Ion Slip ◽  
Dimensional Parameters ◽  
Flow Through

The aim of this study is to analyze the effect of Hall and ion slip on viscous incompressible electrically conducting fluid bounded by a vertical porous plate in the presence of chemical reaction and thermal radiation subject to oscillatory suction. The resulting coupled non-linear partial differential equations are solved analytically by applying perturbation technique. The influences of various non-dimensional parameters on velocity, temperature and concentration profiles were discussed numerically.

EFFECT OF MAGNETIC FIELD ON PERISTALTIC TRANSPORT OF COUPLE STRESS FLUIDS THROUGH A POROUS MEDIUM

2011 ◽  
Vol 19 (02) ◽  
pp. 251-262 ◽  
Author(s):  
S. K. PANDEY ◽  
M. K. CHAUBE
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Axial Velocity ◽  
Couple Stress ◽  
Magnetic Parameter ◽  
Amplitude Ratio ◽  
Perturbation Technique ◽  
Mean Velocity ◽  
Stress Parameter ◽  
Permeability Parameter

This paper analyses peristaltic flow of a couple stress fluid in a channel through a porous medium in the presence of an external magnetic field. The flow is induced by sinusoidal traveling waves along the walls of the channel. The nonlinear convective acceleration terms are duly considered and a perturbation technique is used to solve the problem for the case of small amplitude ratio. The effects of couple-stress parameter, magnetic parameter and permeability parameter on mean velocity on the channel walls, mean axial velocity and critical reflux condition are discussed in detail. Computational results show that the mean velocity at the boundary decreases with increasing couple stress parameter and permeability parameter while it increases with magnetic parameter. It is also revealed that mean axial velocity decreases with increasing couple stress parameter and magnetic parameter while it increases with permeability parameter.

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