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On the interpretation of dynamic contact angles in capillaries

Published online by Cambridge University Press:  19 April 2006

Fred Y. Kafka  and
E. B. Dussan
Fred Y. Kafka
Affiliation:
Department of Chemical and Biochemical Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19174 Present address: E. I. Du Pont De Nemairs & Company, Experimental Station-B/304, Wilmington, DE 19898.
E. B. Dussan
Affiliation:
Department of Chemical and Biochemical Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19174
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Abstract

The motion of two immiscible fluids with arbitrary viscosities flowing through a capillary with an almost flat fluid-fluid interface is investigated in the limit of small capillary and Reynolds numbers. A complete description of the dynamics of the fluids is presented. It is shown that the motion of the fluid away from the moving contact line can be completely determined in terms of one material parameter, and how the capillary can be viewed as a device for measuring it. The dynamic behaviour of various contact angles, measured by others, is calculated. It is shown that they all depend on the radius of the capillary; hence, they do not represent properties of only the materials of the system.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 95 , Issue 3 , 11 December 1979 , pp. 539 - 565
Copyright
© 1979 Cambridge University Press

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