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Cylindrical
liquid bridges
Lamont Colter and Ray Treinen
Vol. 8 (2015), No. 4, 695–705
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Abstract |
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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
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Mathematical Subject Classification 2010
Primary: 35Q35
Secondary: 76A02
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Milestones
Received: 19 July 2014
Accepted: 28 July 2014
Published: 23 June 2015
Communicated by Frank Morgan
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Authors |
| Lamont Colter | |
| Department of Mathematics Texas State University 601 University Drive San Marcos, TX 78666 United States |
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| Ray Treinen | |
| Department of Mathematics Texas State University 601 University Drive San Marcos, TX 78666 United States |
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