M. Webber
The destabilizing effect of boundary slip on Benard convection
Webber, M.
Authors
Abstract
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.
Citation
Webber, M. (2006). The destabilizing effect of boundary slip on Benard convection. Mathematical Methods in the Applied Sciences, 29(7), 819-838. https://doi.org/10.1002/mma.711
| Journal Article Type | Article |
|---|---|
| Publication Date | 2006-05 |
| Deposit Date | Apr 27, 2007 |
| Journal | Mathematical Methods in the Applied Sciences |
| Print ISSN | 0170-4214 |
| Electronic ISSN | 1099-1476 |
| Publisher | Wiley |
| Peer Reviewed | Peer Reviewed |
| Volume | 29 |
| Issue | 7 |
| Pages | 819-838 |
| DOI | https://doi.org/10.1002/mma.711 |
| Keywords | Hydrodynamic stability, Bénard convection, Slip boundary conditions. |
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