The destabilizing effect of boundary slip on Bénard convection | Zendy

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The destabilizing effect of boundary slip on Bénard convection

Author(s) -

Webber Mark

Publication year - 2005

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.711

Subject(s) - mathematics , slip (aerodynamics) , chebyshev filter , boundary value problem , convection , eigenvalues and eigenvectors , rayleigh–bénard convection , mathematical analysis , boundary layer , rayleigh number , mechanics , physics , thermodynamics , natural convection , quantum mechanics

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. Copyright © 2005 John Wiley & Sons, Ltd.

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