Abstract
The fluid motion in a two-dimensional box heated from below is considered. The horizontal surfaces are taken to be free and isothermal while the sidewalls are first taken to be rigid and perfect insulators. Linear stability theory shows that the critical Rayleigh number for the onset of convection higher than that when no side walls are present and the eigenvalue spectrum is discrete. Finite amplitude theory shows that the onset of convection is sudden. The effect of allowing the sidewalls to be slightly imperfect insulators is also investigated.
Original language | English |
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Pages (from-to) | 199-221 |
Number of pages | 23 |
Journal | Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences |
Volume | 358 |
Issue number | 1693 |
DOIs | |
Publication status | Published - 1 Jan 1978 |
Externally published | Yes |