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Steady flow in the region of closed streamlines in a cylindrical cavity

Published online by Cambridge University Press:  29 March 2006

J. L. Duda  and
J. S. Vrentas
J. L. Duda
Affiliation:
Process Fundamentals Research Laboratory, The Dow Chemical Company, Midland, Michigan
J. S. Vrentas
Affiliation:
Process Fundamentals Research Laboratory, The Dow Chemical Company, Midland, Michigan
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Abstract

An analytical solution is developed to describe the steady, closed streamline velocity field within a cylindrical cavity with a uniformly translating wall at low Reynolds numbers. The solution has application for the case of two-phase flow in a tube where regions of fluid are segmented by a moving train of bubbles or plugs, such as in the pulmonary and peripheral capillaries of the body where segments of plasma are trapped between red blood cells. The mathematical approach presented in this study can in principle be useful in the analysis of a wide class of closed-streamline creeping-flow problems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 45 , Issue 2 , 30 January 1971 , pp. 247 - 260
Copyright
© 1971 Cambridge University Press

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