Influence of higher order effects on the vortex instability of thermal boundary layer flow in a wedge shaped domain

Paul, M.C., Rees, D.A.S. and Wilson, M. (2005) Influence of higher order effects on the vortex instability of thermal boundary layer flow in a wedge shaped domain. International Journal of Heat and Mass Transfer, 48(8), pp. 1417-1424. (doi:10.1016/j.ijheatmasstransfer.2004.11.002)

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Publisher's URL: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2004.11.002

Abstract

We reconsider the onset of streamwise vortices in the thermal boundary layer flow induced by an inclined upward-facing heated semi-infinite surface placed within a Newtonian fluid. Particular emphasis is laid upon how the induced flow in the isothermal region outside the boundary layer affects the boundary layer itself at higher order, and how this, in turn, affects the stability criterion for the onset of vortices. We find that the stability criterion for thermal boundary layers in air is less susceptible to changes in external geometry than for boundary layers in water. In general, we conclude that the variation of the stability criterion with wedge angle (between the heated and the outer boundary surface) is too great for the theory to predict reliably where disturbances first begin to grow.

Item Type:Articles
Keywords:Free convection; Boundary layer; Vortex instability; Higher order effects.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Paul, Dr Manosh
Authors: Paul, M.C., Rees, D.A.S., and Wilson, M.
Subjects:T Technology > TJ Mechanical engineering and machinery
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:International Journal of Heat and Mass Transfer
Publisher:Pergamon Press (Elsevier Science)
ISSN:0017-9310
Copyright Holders:Copyright © 2005 Elsevier
First Published:First published in International Journal of Heat and Mass Transfer 48(8):1417-1424
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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