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On the shape of small sessile and pendant drops by singular perturbation techniques

Published online by Cambridge University Press:  26 April 2006

S. B. G. O'Brien
S. B. G. O'Brien
Affiliation:
Philips Research Laboratories, P.O. Box 80000, 5600 JA Eindhoven, The Netherlands Current address: Mathematical Institute, 24-29 St Giles’, Oxford OX1 3LB, UK.
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Abstract

The problem of obtaining asymptotic expressions describing the shape of small sessile and pendant drops is revisited. Both cases display boundary-layer behaviour and the method of matched asymptotic expansions is used to obtain solutions. These give good agreement when compared with numerical results. The sessile solutions are relatively straightforward, while the pendant drop displays a behaviour which is both rich and interesting.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 233 , December 1991 , pp. 519 - 537
Copyright
© 1991 Cambridge University Press

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