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Slow flow of a conducting fluid past a non-conducting porous sphere with variable permeability

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Abstract

Slow flow of a conducting fluid past a non-conducting porous sphere of variable permeability in presence of a uniform radial magnetic field is studied. The drag experienced by the sphere is shown graphically and compared to that for a non-conducting fluid.

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Abbreviations

\(\vec Q,\vec q\) :

velocity vectors of the porous matrix and the conducting fluid

P, p :

pressures in the porous material and the free fluid

K :

permeability at a point of the porous medium

μ :

viscosity

v :

(=μρ) kinematic viscosity

\(\vec B\) :

magnetic induction

\(\vec J\) :

current density

(r, θ, ϕ):

spherical coordinates

α :

dimensionless constant

σ :

conductivity of the liquid

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The authors remain thankful to the referee for his valuable comments and helpful suggestions for improvement of the quality of the paper.

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Das, K., Sanyal, D.C. Slow flow of a conducting fluid past a non-conducting porous sphere with variable permeability. Czech J Phys 44, 737–743 (1994). https://doi.org/10.1007/BF01700640

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Keywords

  • Magnetic Field
  • Permeability
  • Slow Flow
  • Conducting Fluid
  • Porous Sphere