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Stratified laminar flow of two immiscible fluids

Published online by Cambridge University Press:  24 October 2008

B. A. Packham  and
R. Shall
B. A. Packham
Affiliation:
Department of Mathematics, University of Surrey
R. Shall
Affiliation:
Department of Mathematics, University of Surrey
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Abstract

We consider the steady co-current flow of two immiscible viscous liquids in a horizontal pipe, the fluid interface being ripple-free and plane. It is shown that if the cross-section of the duct is symmetric with respect to the interface, the velocity distribution may be expressed in terms of two separate pipe-flow solutions. One corresponds to the flow of a single fluid occupying the whole of the pipe, and the second to a similar flow in a pipe whose cross-section coincides with that of the region occupied by one fluid in the two-phase motion. Flow rates and other quantities of engineering interest are evaluated, and several particular flows are discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 3 , May 1971 , pp. 443 - 448
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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