Effects of Hall current on hydromagnetic free-convective flow through a porous medium |
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| Authors: | H S Takhar P C Ram |
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| Institution: | (1) Department of Engineering, University of Manchester, Manchester, UK;(2) Department of Mathematics, Kenyatta University, Nairobi, Kenya |
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| Abstract: | An analysis of the effects of Hall current on hydromagnetic free-convective flow through a porous medium bounded by a vertical plate is theoretically investigated when a strong magnetic field is imposed in a direction which is perpendicular to the free stream and makes an angle  to the vertical direction. The influence of Hall currents on the flow is studied for various values of .Nomenclature
c
p
specific heat at constant pressure
-
e
electrical charge
-
E
Eckert number
-
E
electrical field intensity
-
g
acceleration due to gravity
-
G
Grashof number
-
H
0
applied magnetic field
-
H
magnetic field intensity
- (j
x
, j
y
, j
z
)
components of current densityJ
-
J
current density
-
K
permeability of porous medium
-
M
magnetic parameter
-
m
Hall parameter
-
n
e
electron number density
-
P
Prandtl number
-
q
velocity vector
- (T, T
w
, T
)
temperature
-
t
time
- (u, v, w)
components of the velocity vectorq
-
U
0
uniform velocity
-
v
0
suction velocity
- (x, y, z)
Cartesian coordinates
Greek Symbols
angle
-
coefficient of volume expansion
-  e
cyclotron frequency
-
frequency
- 
dimensionless temperature
- 
thermal conductivity
- 
coefficient of viscosity
-
magnetic permeability
- 
kinematic viscosity
- 
mass density of fluid
- e
charge density
- 
electrical conductivity
-  e
electron collision time |
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| Keywords: | |
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