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Impulsively Generated Convection in a Semi‐Infinite Fluid Layer above a Heated Flat Plate


Bassom, AP and Blennerhassett, PJ, Impulsively Generated Convection in a Semi‐Infinite Fluid Layer above a Heated Flat Plate, The Quarterly Journal of Mechanics & Applied Mathematics, 55, (4) pp. 573-595. ISSN 0033-5614 (2002) [Refereed Article]

Copyright Statement

Copyright Oxford University Press 2002

DOI: doi:10.1093/qjmam/55.4.573


The stability properties of two impulsively generated, time‐dependent temperature profiles in an initially quiescent, isothermal Boussinesq fluid are examined using a combination of analytic and numerical techniques. Quasi‐steady approximations are used to generate linear stability theory neutral curves whose large‐time forms can be explained by rational asymptotic methods. For the temperature profile generated by a step change in the plate temperature only linear theory results are presented, while an asymptotic solution for strongly nonlinear roll‐cell convection is given for the case of an impulsively applied heat flux at the plate. The main prediction of this strongly nonlinear solution is that the mean plate temperature remains proportional to the square root of time, even in the presence of the strong convective motion. The implications of this result for experimental investigations into the initiation of convection above an impulsively heated plate are discussed.

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:107124
Year Published:2002
Web of Science® Times Cited:5
Deposited By:Mathematics and Physics
Deposited On:2016-03-04
Last Modified:2016-07-08

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