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The destabilizing effect of boundary slip on Bénard convection.

Webber, M. (2006) 'The destabilizing effect of boundary slip on Bénard convection.', Mathematical methods in the applied sciences., 29 (7). pp. 819-838.


We investigate the influence of slip boundary conditions on the onset of Bénard convection in an infinite fluid layer. It is shown that the critical Rayleigh number is a decreasing function of the slip length, and therefore boundary slip is seen to have a destabilizing effect. Chebyshev-tau and compound matrix formulations for solving the eigenvalue problem are presented.

Item Type:Article
Additional Information:
Keywords:Hydrodynamic stability, Bénard convection, Slip boundary conditions.
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Record Created:27 Apr 2007
Last Modified:08 Apr 2009 16:30

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