Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

Unsteady plumes in planar flow of viscous and inviscid fluids

Forbes, L.K. and Hocking, G.C.ORCID: 0000-0002-5812-6015 (2013) Unsteady plumes in planar flow of viscous and inviscid fluids. IMA Journal of Applied Mathematics, 78 (2). pp. 206-234.

Link to Published Version: http://dx.doi.org/10.1093/imamat/hxr045
*Subscription may be required

Abstract

The planar flow of a light fluid into a surrounding heavier fluid is studied. The light fluid is released from the bottom through a vent, which may be at an angle and rises as a plume. It is removed at an upper permeable boundary, which is considered to be a horizontal surface, for simplicity. In the inviscid case, the plume approaches a steady-state configuration, which is well approximated by a one-dimensional asymptotic solution. The stability of the asymptotic solution is discussed. The viscous situation is modelled using Boussinesq theory and shows that entrainment of both fluids into the plume necessarily occurs, so that a steady-state configuration is not achieved. In both the viscous and the inviscid cases, the unsteady solutions are obtained using novel spectral techniques, and these are presented and discussed.

Item Type: Journal Article
Murdoch Affiliation: School of Chemical and Mathematical Science
School of Engineering and Information Technology
Publisher: Oxford University Press
URI: http://researchrepository.murdoch.edu.au/id/eprint/14830
Item Control Page Item Control Page