Volume No. :   3

Issue No. :  2

Year :  2012

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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Global Stability for Thermal Convection in a Rotating Couple-Stress Fluid



Address:   Sunil* and Reeta Devi
Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.)177 005, India
*Corresponding Author
DOI No:

ABSTRACT:
We show that the global nonlinear stability threshold for convection in a rotating couple-stress fluid is exactly the same as the linear instability boundary. This optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of convection. It is also found that the couple-stress fluid is more stable than the ordinary viscous fluid and then the effect of couple stress parameter F1 and Taylor number on the onset of convection is also analyzed.
KEYWORDS:
Couple-stress fluid, global stability, rotation
Cite:
Sunil, Reeta Devi . Global Stability for Thermal Convection in a Rotating Couple-Stress Fluid. Research J. Engineering and Tech. 3(2): April-June 2012 page 68-75.
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