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On the motion of a fluid-fluid interface along a solid surface

Published online by Cambridge University Press:  29 March 2006

Elizabeth B. Dussan V.  and
Stephen H. Davis
Elizabeth B. Dussan V.
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University, Baltimore, Maryland 21218 Present address: Department of Chemical and Biochemical Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 1917.
Stephen H. Davis
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University, Baltimore, Maryland 21218
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Abstract

A fluid-fluid interface that joins a solid surface forms a common line. If the common line moves along the solid, a mutual displacement process is involved and is studied here. Some simple experiments motivate the formulation of the basic assumption of the analysis. The basic assumption is a formalization of the idea that the fluid-fluid interface rolls on or unrolls off the solid. This forms an axiom for the mostly kinematical analysis that follows. The predictions are tested through a series of qualitative experiments. The role of the no-slip boundary condition at the solid surface is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 65 , Issue 1 , 12 August 1974 , pp. 71 - 95
Copyright
© 1974 Cambridge University Press

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