Abstract

When a semi-infinite body is heated from below by a sudden increase in temperature (or cooled from above) an error function temp erature profile grows as the heat diffuses into the fluid. The stability of such a profile is investigated using a large-wavelen gth asymptotic expansion under the quasi-static, or frozen-time, approximation. The critical Rayleigh number for this layer is f ound to be Ra=√(1/2) based on the length-scale √(κ t) where κ is the thermal diffusivity and t the time since the onset of heating.

Publication Type:	Article
Additional Information:	Copyright the author, 2017.
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Mathematics

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