Journal :   International Journal of Technology

Volume No. :   4

Issue No. :  1

Year :  2014

Pages :   112-116

ISSN Print :  2231-3907

ISSN Online :  2231-3915


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Onset of Triply-Diffusive Convection in a Fluid Layer with Suspended Particles and Temperature Dependent Viscosity



Address:   Joginder Singh Dhiman, Nivedita Sharma
Department of Mathematics, Himachal Pradesh University, Summerhill, Shimla-171005, INDIA
*Corresponding Author
DOI No:

ABSTRACT:
The present paper mathematically investigates the triply-diffusive convection problem with suspended particles by considering the viscosity to be temperature dependent. The temperature gradient is considered to be destabilizing whereas the solute gradients may be stabilizing or destabilizing. A sufficient condition for the validity of principle of exchange of stabilities (PES) is obtained and a bound for the complex growth rate of an arbitrary oscillatory perturbation, which may be neutral or unstable, is derived for this general problem. Various consequences of the above results are discussed and the analogous results under the individual effect of suspended particles, solute gradients and viscosity variations are also deduced.
KEYWORDS:
triply-diffusive convection, principle of exchange of stabilities, viscosity variations, suspended particles.
Cite:
Joginder Singh Dhiman, Nivedita Sharma. Onset of Triply-Diffusive Convection in a Fluid Layer with Suspended Particles and Temperature Dependent Viscosity. Int. J. Tech. 4(1): Jan.-June. 2014; Page 112-116
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