Skip to main content
SpringerLink
Log in

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

  • Papers
  • Published:
Czechoslovak Journal of Physics Aims and scope

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

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

References

  1. Joseph D. D. and Tao L. N.: Z. Angew. Math. Mech.44 (1964) 364.

    Google Scholar 

  2. Joseph D. D. and Tao L. N.: J. Appl. Mech. Trans. ASME33 (1966) 753.

    Google Scholar 

  3. Joseph D. D.: Q. J. Math. Appl. Mech.18 (1965) 325.

    Google Scholar 

  4. Beavers G. S. and Joseph D. D.: J. Fluid Mech.30 (1967) 1.

    Google Scholar 

  5. Taylor G. I.: J. Fluid Mech.49 (1971) 319.

    Google Scholar 

  6. Richardson S.: J. Fluid Mech.49 (1971) 327.

    Google Scholar 

  7. Verma P. D. and Bhatt B. S.: Z. Angew. Math. Mech.54 (1974) 24.

    Google Scholar 

  8. Jones I. P.: Proc. Camb. Philos. Soc.73 (1973) 231.

    Google Scholar 

  9. Verma P. D. and Bhatt B. S.: Proc. Ind. Acad. Sci.80 Sec. A (1974) 4.

    Google Scholar 

  10. Verma P. D. and Vyas H. K.: Bull. Cal. Math. Soc.74 (1982) 358.

    Google Scholar 

  11. Globe S.: Phys. Fluids2 (1959) 404.

    Google Scholar 

  12. Elco R. A., Hughes W. F., and Young F. J.: Z. Angew. Math. Phys.13 (1962) 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani-741235, West Bengal, India

    K. Das & D. C. Sanyal

Authors
  1. K. Das
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. C. Sanyal
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01700640

Keywords

Search

Navigation