%0 Report %1 citeulike:7355227 %A Brady, Victor %A Concus, Paul %A Finn, Robert %D 2004 %K 76b45-capillarity 53a10-minimal-surfaces-surfaces-with-prescribed-mean-curvature 35j60-pdes-nonlinear-elliptic %T Computational Investigation of Unusual Behavior in Certain Capillary Tubes %U http://www.escholarship.org/uc/item/6b62c4pj %X We investigate computationally two recent mathematical findings involving unusual behavior of solutions of the Young-Laplace capillary equation in cylindrical tubes of particular sections. The first concerns a configuration for which smoothing of the boundary curve at a sharp corner leads from existence to non-existence of a solution over the container section in zero gravity. The second describes a discontinuous behavior of relative rise height in nesting tubes placed vertically in an infinite reservoir. The numerical results support and quantify the mathematical predictions.

@techreport{citeulike:7355227, abstract = {{We investigate computationally two recent mathematical findings involving unusual behavior of solutions of the Young-Laplace capillary equation in cylindrical tubes of particular sections. The first concerns a configuration for which smoothing of the boundary curve at a sharp corner leads from existence to non-existence of a solution over the container section in zero gravity. The second describes a discontinuous behavior of relative rise height in nesting tubes placed vertically in an infinite reservoir. The numerical results support and quantify the mathematical predictions.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Brady, Victor and Concus, Paul and Finn, Robert}, biburl = {https://www.bibsonomy.org/bibtex/27f09689e3a0121793e1ba874623eab44/gdmcbain}, citeulike-article-id = {7355227}, citeulike-attachment-1 = {brady_04_computational_508203.pdf; /pdf/user/gdmcbain/article/7355227/508203/brady_04_computational_508203.pdf; 14f8347ad52a0c66450993a904a98c35e7babfbe}, citeulike-linkout-0 = {http://www.escholarship.org/uc/item/6b62c4pj}, day = 3, file = {brady_04_computational_508203.pdf}, institution = {Lawrence Berkeley National Laboratory}, interhash = {b5ba956166c38201f0e04077f6d9b4dd}, intrahash = {7f09689e3a0121793e1ba874623eab44}, keywords = {76b45-capillarity 53a10-minimal-surfaces-surfaces-with-prescribed-mean-curvature 35j60-pdes-nonlinear-elliptic}, month = dec, posted-at = {2010-06-24 00:16:34}, priority = {2}, timestamp = {2020-01-08T23:54:05.000+0100}, title = {{Computational Investigation of Unusual Behavior in Certain Capillary Tubes}}, url = {http://www.escholarship.org/uc/item/6b62c4pj}, year = 2004 }