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Effects of Hall current on hydromagnetic free-convective flow through a porous medium

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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 α to the vertical direction. The influence of Hall currents on the flow is studied for various values of α.

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Abbreviations

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

α:

angle

β :

coefficient of volume expansion

ωe :

cyclotron frequency

ω:

frequency

Θ:

dimensionless temperature

ϰ:

thermal conductivity

μ:

coefficient of viscosity

μ:

magnetic permeability

ν:

kinematic viscosity

ρ:

mass density of fluid

ρe :

charge density

σ:

electrical conductivity

τe :

electron collision time

References

  • Cowling, T. G.: 1957,Magnetohydrodynamics, Interscience Publishers. New York.

    Google Scholar 

  • Datta, N. and Mazumder, B. S.: 1976,Int. J. Eng. Sci. 14, 285.

    Google Scholar 

  • Ram, P. C., Singh, C. B., and Singh, U. S.: 1984,Astrophys. Space Sci. 100, 45.

    Google Scholar 

  • Raptis, A.: 1984,Arch. Mech. 36, 307.

    Google Scholar 

  • Raptis, A. and Perdikis, C. P.: 1983,Int. J. Energy Res. 7, 391.

    Google Scholar 

  • Raptis, A. and Perdikis, C. P.: 1985,Int. J. Eng. Sci. 23, 51.

    Google Scholar 

  • Soundalgekar, V. M.: 1973a,Proc. Roy. Soc. (London) 333A, 25.

    Google Scholar 

  • Soundalgekar, V. M.: 1973b,Proc. Roy. Soc. (London) 333A, 38.

    Google Scholar 

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Authors and Affiliations

  1. Department of Engineering, University of Manchester, Manchester, UK

    H. S. Takhar

  2. Department of Mathematics, Kenyatta University, Nairobi, Kenya

    P. C. Ram

Authors
  1. H. S. Takhar
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  2. P. C. Ram
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Takhar, H.S., Ram, P.C. Effects of Hall current on hydromagnetic free-convective flow through a porous medium. Astrophys Space Sci 192, 45–51 (1992). https://doi.org/10.1007/BF00653258

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  • DOI: https://doi.org/10.1007/BF00653258

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