Double-diffusive convection in a viscoelastic fluid

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Published: Sep 30, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.800
Keywords:
Double-diffusive convection Oldroydian viscoelastic fluid magnetic field suspended particles porous medium

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Pardeep Kumar
Department ofMathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India.
Hari Mohan
Department ofMathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India.

Abstract

The double-diffusive convection in an Oldroydian viscoelastic fluid is mathematical investigated under the simultaneous effects of magnetic field and suspended particles through porous medium. A sufficient condition for the invalidity of the `principle of exchange of stabilities' is derived, in the context, which states that the exchange principle is not valid provided the thermal Rayleigh number $R$, solutal Rayleigh number$R_S$, the medium permeability $P_1$ and the suspended particles parameter $B$ are restricted by the inequality $\frac{BP_1}{\pi^2}(R+R_S)<1$.

Article Details

How to Cite
Kumar, P., & Mohan, H. (2012). Double-diffusive convection in a viscoelastic fluid. Tamkang Journal of Mathematics, 43(3), 365–374. https://doi.org/10.5556/j.tkjm.43.2012.800
Issue
Vol. 43 No. 3 (2012)
Section
Papers
Author Biographies

Pardeep Kumar, Department ofMathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India.

Department ofMathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India.

Hari Mohan, Department ofMathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India.

Department ofMathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India.

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