Effects of hall current on the hydromagnetic free convection with mass transfer in a rotating fluid |
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Authors: | H L Agrawal P C Ram V Singh |
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Institution: | (1) Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India |
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Abstract: | An exact analysis of Hall current on hydromagnetic free convection with mass transfer in a conducting liquid past an infinite vertical porous plate in a rotating fluid has been presented. Exact solution for the velocity field has been obtained and the effects ofm (Hall parameter),E (Ekman number), andS
c (Schmidt number) on the velocity field have been discussed.Nomenclature
C
species concentration
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C
w
concentration at the porous plate
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C
species concentration at infinity
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C
p
specific heat at constant pressure
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D
chemical molecular diffusivity
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g
acceleration due to gravity
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E
Ekman number
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G
Grashof number
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H
0
applied magnetic field
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j
x, jy, jz
components of the current densityJ
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k
thermal conductivity
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M
Hartman number
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m
Hall parameter
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P
Prandtl number
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Q
heat flux per unit area
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S
c
Sehmidt number
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T
temperature of the fluid near the plate
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T
w
temperature of the plate
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T
temperature of the fluid in the free-stream
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u, v, w
components of the velocity fieldq,
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U
uniform free stream velocity
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w
0
suction velocity
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x, y, z
Cartesian coordinates
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Z
dimensionless coordinate normal to the plate.
Greek symbols
coefficient of volume expansion
- *
coefficient of expansion with concentration
- e
cyclotron frequency
-
dimensionless temperature
- *
dimensionless concentration
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v
kinematic viscosity
-
density of the fluid in the boundary layer
-
coefficient of viscosity
- e
magnetic permeability
-
angular velocity
-
electrical conductivity of the fluid
- e
electron collision time
- u
skin-friction in the direction ofu
- v
skin-friction in the direction ofv |
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Keywords: | |
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