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Numerical results for floating drops

Pages: 241 - 249, Issue Special, August 2005

 Abstract        Full Text (249.6K)              

Alan Elcrat - Wichita State University, 1845 N. Fairmont, Wichita, KS 67260-0033, United States (email)
Ray Treinen - Wichita State University, 1845 N. Fairmont, Wichita, KS 67260-0033, United States (email)

Abstract: 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.

Keywords:  Capillary Surfaces, Floating Drops.
Mathematics Subject Classification:  58F15, 58F17; Secondary: 53C35.

Received: August 2004;      Revised: March 2005;      Published: September 2005.