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On the computation of steady axi-symmetric withdrawal from a two-layer fluid


Forbes, LK and Hocking, GC, On the computation of steady axi-symmetric withdrawal from a two-layer fluid, Computers and Fluids, 32, (3) pp. 385-401. ISSN 0045-7930 (2003) [Refereed Article]

DOI: doi:10.1016/S0045-7930(01)00085-8


Simultaneous withdrawal of both fluids in a two-layer system is considered. The flow is assumed to be steady and axi-symmetric, and withdrawal takes place through a spherical sink of finite radius. The problem is solved numerically, using two coupled integral equations and the condition of continuous pressure across the interface of the two fluids. This non-linear axi-symmetric problem is extremely ill-conditioned, but its conditioning can be improved substantially by careful construction of an appropriate Green function for the integral equations. Numerical results are presented, and it is suggested that steady solutions are not possible for the limiting case when the spherical sink collapses to a point. In this respect, the solution is evidently very different to the corresponding two-dimensional case. © 2002 Elsevier Science Ltd. All rights reserved.

Item Details

Item Type:Refereed Article
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Microfluidics and nanofluidics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:24273
Year Published:2003
Web of Science® Times Cited:13
Deposited By:Mathematics
Deposited On:2003-08-01
Last Modified:2004-04-20

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