Volume No. :   5

Issue No. :  1

Year :  2013

ISSN Print :  0975-4393

ISSN Online :  2349-2988


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Thermal Instability in a Layer of Nanofluid Subjected to Rotation and Suspended Particles



Address:   Ramesh Chand1, G. C. Rana2, Arvind Kumar3 and Vandna Sharma4
1Department of Mathematics, Government College Dhaliara (Kangra), Himachal Pradesh, India
2Department of Mathematics, Sidharth Government College Nadaun (Hamirpur), Himachal Pradesh, India
3Department of Mathematics, Government College Nagrota Bagwan (Kangra), Himachal Pradesh, India
4Department of Mathematics, DDM College of Science and Technology Banehra (Una), Himachal Pradesh, India
*Corresponding Author
DOI No:

ABSTRACT:
The objective of the present work is to investigate theoretically the combined effect of rotation and suspended particles on the thermal instability in a layer of nanofluid. A linear stability theory, perturbation method and normal mode technique is used to find the solution of fluid layer confined between two free boundaries. For linear theory analysis, critical Rayleigh number has been obtained to study the stability analysis. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The onset criterion for stationary and oscillatory convection is derived analytically and graphically. The effects of various parameters such as suspended particles, rotation, Lewis number and modified diffusivity ratio on the stationary convection are studied.
KEYWORDS:
Prandtl number, Taylor number, Nanofluid, Suspended particles, Lewis number.
Cite:
Ramesh Chand, G. C. Rana, Arvind Kumar, Vandna Sharma. Thermal Instability in a Layer of Nanofluid Subjected to Rotation and Suspended Particles. Research J. Science and Tech 5(1): Jan.-Mar.2013 page 32-40.
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