Vol. 103, No. 1, 1982

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Symmetric unbounded liquid bridges

Thomas Vogel

Vol. 103 (1982), No. 1, 205–241

A symmetric unbounded liquid bridge is that surface formed by capillary action when a disc is withdrawn from an infinite reservoir. As do all capillary surfaces, liquid bridges satisfy the condition that mean curvature is proportional to height. The profile curves of the bridge surfaces are parametric extensions of the curves obtained in the symmetric exterior capillary problem. The family of profile curves is shown to have an envelope, and stability and instability criteria are derived relating to this envelope.

Mathematical Subject Classification 2000
Primary: 53A10
Secondary: 49F10
Received: 13 April 1981
Published: 1 November 1982
Thomas Vogel
Department of Mathematics
Texas A & M University
College Station TX 77843-3368
United States