Skip to main content
Log in

Effect of magnetic field and rotation on thermosolutal convection in porous medium

  • Published:
Japan Journal of Industrial and Applied Mathematics Aims and scope Submit manuscript

Abstract

The thermosolutal convection in a fluid layer heated and soluted from below in a porous medium is considered to include, separately, the effects of a uniform horizontal magnetic field and a uniform rotation. The solute gradient, magnetic field and rotation are found to introduce oscillatory modes which were non-existent in their absence. The stable solute gradient, magnetic field and rotation are found to have stabilizing effects whereas medium permeability has both destabilizing and stabilizing effects. The sufficient conditions for non-existence of overstability are obtained.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.K. Brakke, Zone electrophoresis of dyes, proteins and viruses in density-gradient columns of sucrose solutions. Arch. Biochem. Biophys.,55 (1955), 175–190.

    Article  Google Scholar 

  2. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability. Dover Publication, New York, 1981.

    Google Scholar 

  3. E.R. Lapwood, Convection of a fluid in a porous medium. Math. Proc. Cambridge Philos. Soc.,44 (1948), 508–540.

    Article  MATH  MathSciNet  Google Scholar 

  4. P.F. Linden, Salt fingers in a steady shear flow. Geophys. Fluid Dynamics,6 (1974), 1–27.

    Google Scholar 

  5. C.R.B. Lister, On the thermal balance of a mid-ocean ridge. Geophys. J. Roy. Astr. Soc.,26 (1972), 515–535.

    Google Scholar 

  6. J.A.M. McDonnel, Cosmic Dust. John Wiley & Sons., Toronto, 1978, p. 330.

    Google Scholar 

  7. P. Nason, V. Schumaker, B. Halsall, and J. Schwedes, Formation of a streaming convective disturbance which may occur at one gravity during preparation of samples for zone centrifugation. Biopolymers,7 (1969), 241–249.

    Article  Google Scholar 

  8. T.G.L. Shirtcliffe, Lake Bonney Antarctica: Cause of the Elevated Temperatures. J. Geophys. Res.,69 (1964), 5257–5268.

    Article  Google Scholar 

  9. H. Stommel, and K.N. Fedorov, Small scale structure in temperature and salinity near Timor and Mindanao. Tellus,19 (1967), 306–325.

    Article  Google Scholar 

  10. H. Tabor, and R. Matz, Solar Pond, Project. Solar Energy,9 (1965), 177–182.

    Article  Google Scholar 

  11. G. Veronis, On finite amplitude instability in thermohaline convection. J. Marine Res.,23 (1965), 1–17.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Sharma, R.C., Kumari, V. Effect of magnetic field and rotation on thermosolutal convection in porous medium. Japan J. Indust. Appl. Math. 9, 79–90 (1992). https://doi.org/10.1007/BF03167195

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03167195

Key words

Navigation