Asymptotic solutions for double pendant and extended sessile drops
Author:
S. B. G. M. O’Brien
Journal:
Quart. Appl. Math. 52 (1994), 43-48
MSC:
Primary 76B45
DOI:
https://doi.org/10.1090/qam/1262317
MathSciNet review:
MR1262317
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Abstract: Asymptotic solutions are obtained for small double pendant drops which are shown to consist of two (or more) nearly spherical drops joined together by a thin neck region, the upper drop being slightly larger. Equivalent solutions for so-called extended sessile drops represent the curling of the drop profile in on itself beyond the point where the inclination of the drop becomes greater than $\pi$ radians.
S. B. G. M. O’Brien, On the shape of small sessile and pendant drops by singular perturbation techniques, J. Fluid Mech. 233, 519 (1991)
A. K. Chesters, An analytical solution for the profile and volume of a small drop or bubble symmetrical about a vertical axis, J. Fluid Mech. 81, 609 (1977)
J. F. Padday, The profiles of axially symmetric menisci, Phil. Trans. Roy. Soc. London A269, 265 (1971)
S. B. G. M. O’Brien, On the shape of small sessile and pendant drops by singular perturbation techniques, J. Fluid Mech. 233, 519 (1991)
A. K. Chesters, An analytical solution for the profile and volume of a small drop or bubble symmetrical about a vertical axis, J. Fluid Mech. 81, 609 (1977)
J. F. Padday, The profiles of axially symmetric menisci, Phil. Trans. Roy. Soc. London A269, 265 (1971)
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Article copyright:
© Copyright 1994
American Mathematical Society
