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On the computation of steady axi-symmetric withdrawal from a two-layer fluid
Journal article   Peer reviewed

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

L.K. Forbes and G.C. Hocking
Computers & Fluids, Vol.32(3), pp.385-401
2003
DOI: https://doi.org/10.1016/S0045-7930(01)00085-8
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Abstract

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.

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Collaboration types
Domestic collaboration
Citation topics
8 Earth Sciences
8.205 Ocean Dynamics
8.205.2114 Hydraulic Flows
Web Of Science research areas
Computer Science, Interdisciplinary Applications
Mechanics
ESI research areas
Computer Science
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