Abstract
The thermosolutal convection in a layer of Maxwellian viscoelastic fluid heated and soluted from below in porous medium is considered. The effects of uniform magnetic field and uniform rotation on the thermosolutal convection are also considered. For stationary convection, the Maxwellian viscoelastic fluid behaves like a Newtonian fluid. The sufficient conditions for the nonexistence of overstability are obtained. The critical Rayleigh number is found to increase with the increase in magnetic field, rotation and stable solute gradient.
Similar content being viewed by others
References
Chandrasekhar S.: Hydrodynamic and hydromagnetic stability. Dover Publications, New York, 1981.
Bhatia P. K. and Steiner J. M.: Z. Angew. Math. Mech.52 (1972) 321.
Bhatia P. K. and Steiner J. M.: J. Math. Anal. Appl.41 (1973) 271.
Veronis G. J. Marine Res.23 (1965) 1.
Lapwood E. R.: Proc. Camb. Phil. Soc.44 (1948) 508.
Westbrook D. R.: Phys. Fluids12 (1969) 1547.
McDonnel J. A. M.: Cosmic Dust. John Wiley & Sons, Toronto, 1978, p. 330.
Spiegel E. A.: Astrophys. J.141 (1965) 1068.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sharma, R.C., Kumari, V. Thermosolutal convection in a Maxwellian viscoelastic fluid in porous medium. Czech J Phys 43, 31–42 (1993). https://doi.org/10.1007/BF01589582
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01589582