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Slow hydromagnetic flow in a channel with porous walls in presence of a periodic magnetic field

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Czechoslovak Journal of Physics B Aims and scope

Abstract

An attempt has been made here to study the MHD effects on the slow motion of a viscous, incompressible and conducting fluid between two parallel porous infinite plane walls in presence of a transverse magnetic field varying periodically with time. The problem has been investigated firstly for the case of non-conducting walls and finally for the case of conducting walls.

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Abbreviations

biV:

velocity vector

U 0 :

prescribed velocity

biH:

magnetic field vector

t :

time

ϱ :

density

μ :

coefficient of viscosity

ν :

coefficient of kinematic viscosity

σ :

conductivity of the medium

μ′ :

magnetic permeability

η :

magnetic viscosity

σ w :

conductivity of the wall

l :

thickness of the wall

L :

a constant characterising the thickness of the fluid slab

φ :

electric conductance ratio,φ=σ w l/(σL)

ω :

frequency of theH 0 variations

P′ :

a constant, −1/ϱ∂p′/∂x=P′

(x, y, z):

cartesion co-ordinates

Y :

dimensionless cartesian co-ordinate corresponding toy

M :

Hartmann number

R :

Reynolds number

R m :

magnetic Reynolds number

R c :

Reynolds number for cross-flow

S :

magnetic pressure number

P :

dimensionless pressure gradient

¯t :

dimsnsionless time

Ps :

a parameter

References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani, Nadia, West Bengal, India

    P. R. Sengupta

  2. River Research Institute (W. B.), Mohonpur, Nadia, West Bengal, India

    S. K. Ghosh

Authors
  1. P. R. Sengupta
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  2. S. K. Ghosh
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Sengupta, P.R., Ghosh, S.K. Slow hydromagnetic flow in a channel with porous walls in presence of a periodic magnetic field. Czech J Phys 27, 158–166 (1977). https://doi.org/10.1007/BF01587006

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  • DOI: https://doi.org/10.1007/BF01587006

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