Supercritical withdrawal from a two-layer fluid through a line sink

Author:

Hocking G. C.

Abstract

Accurate numerical solutions to the problem of finding the location of the interface between two unconfined regions of fluid of different density during the withdrawal process are presented. Supercritical flows are considered, in which the interface is drawn directly into the sink. As the flow rate is reduced, the interface enters the sink more steeply, until the solution method breaks down just before the interface enters the sink vertically from above, and becomes flow from the lower layer only. This lower bound on supercritical flow is compared with the upper bound on single-layer (free surface) flow with good agreement.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference19 articles.

1. Huber, D. G. 1960 Irrotational motion of two fluid strata towards a line sink.J. Engng Mech. Div. ASCE 86, EM4, 71-85.

2. Forbes, L. K. 1985 On the effects of non-linearity in free-surface flow about a submerged point vortex.J. Engng Maths 19,139–155.

3. Wood, I. R. & Lai, K. K. 1972 Selective withdrawal from a two-layered fluid.J. Hydraul. Res. 10,475–496.

4. Hocking, G. C. 1991b Withdrawal from two-layer fluid through line sink.J. Hydraul. Engng ASCE 117,800–805.

5. Lawrence, G. A. & Imberger, J. 1979 Selective withdrawal through a point sink in a continuously stratified fluid with a pycnocline. Tech. Rep. ED-79-002. Dept. of Civil Engng, University of Western Australia.

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