Vol. 8, No. 4, 2015

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ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Cylindrical liquid bridges

Lamont Colter and Ray Treinen

Vol. 8 (2015), No. 4, 695–705
Abstract

We consider a cylindrical liquid bridge under capillary effects, spanning two horizontal plates and further bounded by a pair of parallel vertical planes. We explicitly formulate the volume-constrained problem and describe a numerical procedure for approximating the solution. Finally, a problem of finding the minimum spanning volume is considered.

Keywords
capillarity, liquid bridges, numerical ODE
Mathematical Subject Classification 2010
Primary: 35Q35
Secondary: 76A02
Milestones
Received: 19 July 2014
Accepted: 28 July 2014
Published: 23 June 2015

Communicated by Frank Morgan
Authors
Lamont Colter
Department of Mathematics
Texas State University
601 University Drive San Marcos, TX 78666
United States
Ray Treinen
Department of Mathematics
Texas State University
601 University Drive
San Marcos, TX 78666
United States