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Nonlinear convection in the boundary layer above a sinusoidally heated flat plate


May, A and Bassom, AP, Nonlinear convection in the boundary layer above a sinusoidally heated flat plate, Quarterly Journal of Mechanics and Applied Mathematics, 53, (3) pp. 475-495. ISSN 0033-5614 (2000) [Refereed Article]

Copyright Statement

Copyright Oxford University Press 2000

DOI: doi:10.1093/qjmam/53.3.475


The thermal boundary layer induced within a horizontal semi-infinite layer of Boussinesq fluid by a sinusoidally heated bounding plate is known to be susceptible to vortex instability. The structure of short wavelength convection is considered here and the analysis taken from linear, through weakly nonlinear and onto the fully nonlinear stage. At this point the activity is sufficiently strong that it induces large changes in the underlying thermal profile and the overall flow characteristics are determined by the solution of a free boundary-value problem. This solution demonstrates that the highly nonlinear vortices tend to settle into a periodic form in which intervals of intense activity alternate with times of relative quiescence.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107388
Year Published:2000
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-07-08

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