Vol. 178, No. 1, 1997

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On stability of a catenoidal liquid bridge

Lianmin Zhou

Vol. 178 (1997), No. 1, 185–198
Abstract

We derive a stability criterion for a catenoidal liquid bridge making contact angles γ1 and γ2 with two parallel plates. We show that for the case of equal contact angles γ1 = γ2 = γ the stability and instability sets are connected on the interval of admissible γ. We also give an example showing that for unequal contact angles, the family of stable catenoidal drops with one contact angle fixed can be disconnected with respect to the other angle. At the end of the paper we give a complete description of the stability and instability sets for various contact angles.

Milestones
Received: 25 May 1993
Revised: 18 October 1993
Published: 1 March 1997
Authors
Lianmin Zhou
Johns Hopkins University
Baltimore, MD 21286