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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.