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Astrophysics and Space Science

, Volume 100, Issue 1–2, pp 279–286 | Cite as

Effects of hall current on the hydromagnetic free convection with mass transfer in a rotating fluid

  • H. L. Agrawal
  • P. C. Ram
  • V. Singh
Article

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), andSc (Schmidt number) on the velocity field have been discussed.

Keywords

Convection Mass Transfer Exact Solution Velocity Field Free Convection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

C

species concentration

Cw

concentration at the porous plate

C

species concentration at infinity

Cp

specific heat at constant pressure

D

chemical molecular diffusivity

g

acceleration due to gravity

E

Ekman number

G

Grashof number

H0

applied magnetic field

jx, jy, jz

components of the current densityJ

k

thermal conductivity

M

Hartman number

m

Hall parameter

P

Prandtl number

Q

heat flux per unit area

Sc

Sehmidt number

T

temperature of the fluid near the plate

Tw

temperature of the plate

T

temperature of the fluid in the free-stream

u, v, w

components of the velocity fieldq,

U

uniform free stream velocity

w0

suction velocity

x, y, z

Cartesian coordinates

Z

dimensionless coordinate normal to the plate.

Greek symbols

β

coefficient of volume expansion

β*

coefficient of expansion with concentration

ωe

cyclotron frequency

θ

dimensionless temperature

θ*

dimensionless concentration

v

kinematic viscosity

ϱ

density of the fluid in the boundary layer

μ

coefficient of viscosity

μe

magnetic permeability

Ω

angular velocity

σ

electrical conductivity of the fluid

τe

electron collision time

τu

skin-friction in the direction ofu

τv

skin-friction in the direction ofv

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References

  1. Batchelor, G. K.: 1970,An Introduction to Fluid Dynamics, Cambridge Univ. Press, Cambridge.Google Scholar
  2. Gupta, A. S.: 1972,Acta Mech. 13, 155.Google Scholar
  3. Mazumder, B. S., Gupta, A. S., and Datta, N.: 1976,Int. J. Heat Pass Trans. 19, 523.Google Scholar
  4. Meyer, R. C.: 1958,J. Aerospace Sci. 25, 561.Google Scholar
  5. Raptis, A. A. and Perdikis, C. P.: 1982,Astrophys. Space. Sci. 84, 457.Google Scholar
  6. Soundalgekar, V. M. and Pop, I.: 1979,Acta Phys. Hung. 47, 313.Google Scholar

Copyright information

© D. Reidel Publishing Company 1984

Authors and Affiliations

  • H. L. Agrawal
    • 1
  • P. C. Ram
    • 1
  • V. Singh
    • 1
  1. 1.Department of Applied Mathematics, Institute of TechnologyBanaras Hindu UniversityVaranasiIndia

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