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Heat Transfer Research
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ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2013003569
pages 43-57

GLOBAL STABILITY FOR THERMAL CONVECTION IN A COUPLE STRESS FLUID: RIGID BOUNDARIES

Sunil
Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.) 177005, India
Reeta Devi
Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.) − 177 005, India

ABSTRAKT

We show that the global nonlinear stability threshold for convection in a couple-stress fluid (and for a rotating couple-stress fluid) is exactly the same as the linear instability boundary. This optimal result is important, because it shows that the linearized instability theory has captured completely the physics of the onset of convection. The eigenvalue problems for the rigid−rigid (RR) conducting boundaries are solved by the single-term Galerkin method. The effect of the couple-stress parameter F and rotation parameter TA on the onset of convection is also analyzed.


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