File(s) under permanent embargo
Neutrally stable wave motions in thermally stratified Poiseuille-Couette flow
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.
History
Publication title
Journal of the Australian Mathematical Society, Series BVolume
40Pagination
123-144ISSN
0334-2700Department/School
School of Natural SciencesPublisher
Cambridge Univ PressPlace of publication
AustraliaRights statement
Copyright 1998 Australian Mathematical SocietyRepository Status
- Restricted