2005, 2005(Special): 241-249. doi: 10.3934/proc.2005.2005.241

Numerical results for floating drops

1. 

Wichita State University, 1845 N. Fairmont, Wichita, KS 67260-0033, United States, United States

Received  August 2004 Revised  March 2005 Published  September 2005

Numerical results are presented for various configurations that may be described as axisymmetric floating drops. In each case the drops are constructed by matching solutions of the differential equations for the axisymmetric capillary surfaces to solve a free boundary problem. These include both ``heavy'' and ``light'' drops in which the density of the fluid in the drop is either larger or smaller than that of the reservoir on which it rests. The reservoir may be either infinite or contained in a finite container. Of particular interest are heavy drops which have multiple necks reminiscent of classic results of Kelvin for pendent drops.
Citation: Alan Elcrat, Ray Treinen. Numerical results for floating drops. Conference Publications, 2005, 2005 (Special) : 241-249. doi: 10.3934/proc.2005.2005.241
[1]

Filippo Morabito. Bounded and unbounded capillary surfaces derived from the catenoid. Discrete & Continuous Dynamical Systems - A, 2018, 38 (2) : 589-614. doi: 10.3934/dcds.2018026

[2]

Mariarosaria Padula. On stability of a capillary liquid down an inclined plane. Discrete & Continuous Dynamical Systems - S, 2013, 6 (5) : 1343-1353. doi: 10.3934/dcdss.2013.6.1343

[3]

Jingmei Zhou, Xiangmo Zhao, Xin Cheng, Zhigang Xu. Visualization analysis of traffic congestion based on floating car data. Discrete & Continuous Dynamical Systems - S, 2015, 8 (6) : 1423-1433. doi: 10.3934/dcdss.2015.8.1423

[4]

Weiwei Wang, Ping Chen. A mean-reverting currency model with floating interest rates in uncertain environment. Journal of Industrial & Management Optimization, 2017, 13 (5) : 1-16. doi: 10.3934/jimo.2018129

[5]

Mark Jones. The bifurcation of interfacial capillary-gravity waves under O(2) symmetry. Communications on Pure & Applied Analysis, 2011, 10 (4) : 1183-1204. doi: 10.3934/cpaa.2011.10.1183

[6]

D. L. Denny. Existence of solutions to equations for the flow of an incompressible fluid with capillary effects. Communications on Pure & Applied Analysis, 2004, 3 (2) : 197-216. doi: 10.3934/cpaa.2004.3.197

[7]

Kristoffer Varholm. Solitary gravity-capillary water waves with point vortices. Discrete & Continuous Dynamical Systems - A, 2016, 36 (7) : 3927-3959. doi: 10.3934/dcds.2016.36.3927

[8]

Marco Scianna, Luca Munaron. Multiscale model of tumor-derived capillary-like network formation. Networks & Heterogeneous Media, 2011, 6 (4) : 597-624. doi: 10.3934/nhm.2011.6.597

[9]

Frédéric Rousset, Nikolay Tzvetkov. On the transverse instability of one dimensional capillary-gravity waves. Discrete & Continuous Dynamical Systems - B, 2010, 13 (4) : 859-872. doi: 10.3934/dcdsb.2010.13.859

[10]

Michael W. Smiley, Howard A. Levine, Marit Nilsen Hamilton. Numerical simulation of capillary formation during the onset of tumor angiogenesis. Conference Publications, 2003, 2003 (Special) : 817-826. doi: 10.3934/proc.2003.2003.817

[11]

Shu-Ming Sun. Existence theory of capillary-gravity waves on water of finite depth. Mathematical Control & Related Fields, 2014, 4 (3) : 315-363. doi: 10.3934/mcrf.2014.4.315

[12]

Doretta Vivona, Pierre Capodanno. Mathematical study of the small oscillations of a floating body in a bounded tank containing an incompressible viscous liquid. Discrete & Continuous Dynamical Systems - B, 2014, 19 (7) : 2353-2364. doi: 10.3934/dcdsb.2014.19.2353

[13]

Alfonso Artigue. Expansive flows of surfaces. Discrete & Continuous Dynamical Systems - A, 2013, 33 (2) : 505-525. doi: 10.3934/dcds.2013.33.505

[14]

Kariane Calta, John Smillie. Algebraically periodic translation surfaces. Journal of Modern Dynamics, 2008, 2 (2) : 209-248. doi: 10.3934/jmd.2008.2.209

[15]

Anton Petrunin. Metric minimizing surfaces. Electronic Research Announcements, 1999, 5: 47-54.

[16]

Yong Lin, Gábor Lippner, Dan Mangoubi, Shing-Tung Yau. Nodal geometry of graphs on surfaces. Discrete & Continuous Dynamical Systems - A, 2010, 28 (3) : 1291-1298. doi: 10.3934/dcds.2010.28.1291

[17]

Roberto Paroni, Podio-Guidugli Paolo, Brian Seguin. On the nonlocal curvatures of surfaces with or without boundary. Communications on Pure & Applied Analysis, 2018, 17 (2) : 709-727. doi: 10.3934/cpaa.2018037

[18]

Alexandre Girouard, Iosif Polterovich. Upper bounds for Steklov eigenvalues on surfaces. Electronic Research Announcements, 2012, 19: 77-85. doi: 10.3934/era.2012.19.77

[19]

Seung Won Kim, P. Christopher Staecker. Dynamics of random selfmaps of surfaces with boundary. Discrete & Continuous Dynamical Systems - A, 2014, 34 (2) : 599-611. doi: 10.3934/dcds.2014.34.599

[20]

José Ginés Espín Buendía, Daniel Peralta-salas, Gabriel Soler López. Existence of minimal flows on nonorientable surfaces. Discrete & Continuous Dynamical Systems - A, 2017, 37 (8) : 4191-4211. doi: 10.3934/dcds.2017178

 Impact Factor: 

Metrics

  • PDF downloads (7)
  • HTML views (0)
  • Cited by (0)

Other articles
by authors

[Back to Top]