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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