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Neutrally stable wave motions in thermally stratified Poiseuille-Couette flow

Citation

Denier, JP and Bassom, AP, Neutrally stable wave motions in thermally stratified Poiseuille-Couette flow, Journal of the Australian Mathematical Society, Series B, 40, (1) pp. 123-144. ISSN 0334-2700 (1998) [Refereed Article]

Copyright Statement

Copyright 1998 Australian Mathematical Society

DOI: doi:10.1017/S0334270000012418

Abstract

The influence of thermal buoyancy on neutral wave modes in Poiseuille-Couette flow is considered. We examine the modifications to the asymptotic structure first described by Mureithi, Denier & Stott [16], who demonstrated that neutral wave modes in a strongly thermally stratified boundary layer are localized at the position where the streamwise velocity attains its maximum value. The present work demonstrates that such a flow structure also holds for Poiseuille-Couette flow but that a new flow structure emerges as the position of maximum velocity approaches the wall (and which occurs as the level of shear, present as a consequence of the Couette component of the flow, is increased). The limiting behaviour of these wave modes is discussed thereby allowing us to identify the parameter regime appropriate to the eventual restabilization of the flow at moderate levels of shear.

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
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108514
Year Published:1998
Deposited By:Mathematics and Physics
Deposited On:2016-04-21
Last Modified:2016-10-17
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