Skip to main content
SpringerLink
Log in

A note on the unsteady motion of a viscous conducting liquid between two porous concentric circular cylinders acted on by a radial magnetic field

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

In this note the author has investigated some problems of a flow of conducting liquid through two porous non-conducting infinite circular cylinders rotating with various angular velocities for some time in the presence of a radial magnetic field.

It is assumed that the rate of suction at the inner cylinder is equal to the rate of injection at the outer cylinder. Furthermore the induced electric and magnetic fields are neglected.

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

a, b :

radii of coaxial cylinders

h 1, h 2 :

constants

m, n :

constants

P :

hydrostatic pressure

t :

time

A, B :

functions of r and b

B 0 :

magnetic induction vector B 0=μ e H

H :

magnetic field vector

H :

intensity of magnetic field

L, M :

functions of a and b

S :

Suction parameter

μ :

Coefficient of viscosity

μ e :

magnetic permeability

ν :

Kinematic coefficient of viscosity

ρ :

density of liquid

σ :

conductivity of liquid

τ :

Small time

ω :

Constant

ω 1, ω 2 :

angular vrlocities

Ω, Ω 1, Ω 2 :

angular velocities.

References

  1. Singh, D. and Rizvi, Phys. Fluids 7 (1964) 760.

    Google Scholar 

  2. Singh, D., Appl. Sci. Res. B, 10 (1963) 413

    Google Scholar 

  3. Singh, G. S., J. Sci. Eng. Res. 9 (1965) 284.

    Google Scholar 

  4. Baral, M. C., Ind. J. Phys. 42 (1968) 681.

    Google Scholar 

  5. Carslaw, H. S. and J. C. Jaeger, Operational methods in Applied Mathematics., 174, Dover Publication, Inc., New York (1950).

    Google Scholar 

  6. Ferraro, V. C. A. and C. Plumpton, Magneto-Fluid Mechanics., Oxford University Press (1961).

  7. Watson, G. N., Theory of Bessel Functions (2nd. ed.) Cambridge University Press (1966).

  8. Jahnke-Emde-Lösch, Tables of Higher Functions (6th. ed.) McGraw Hill Book Comp. Inc., New York (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematics, R.B.C. College, Naihati, West Bengal, India

    J. R. Mahapatra

Authors
  1. J. R. Mahapatra
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mahapatra, J.R. A note on the unsteady motion of a viscous conducting liquid between two porous concentric circular cylinders acted on by a radial magnetic field. Appl. Sci. Res. 27, 274–282 (1973). https://doi.org/10.1007/BF00382491

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00382491

Keywords

Search

Navigation