Document Type
Article
Publication Date
9-1-2016
Publication Title
Mathematics and Computers in Simulation
Abstract
Here we consider the problem of a fluid body rotating with a constant angular velocity and subjected to surface tension. Determining the equilibrium configuration of this system turns out to be equivalent to the geometrical problem of determining the surface of revolution with a prescribed mean curvature. In the simply connected case, the equilibrium surface can be parameterized explicitly via elliptic integrals of the first and second kind. Here, we present two such parameterizations of the drops and we use the second of them to study finer details of the drop surfaces such as the existence of closed geodesics.
Repository Citation
Mladenov, Ivailo M. and Oprea, John, "On The Geometry of The Rotating Liquid Drop" (2016). Mathematics and Statistics Faculty Publications. 141.
https://engagedscholarship.csuohio.edu/scimath_facpub/141
DOI
10.1016/j.matcom.2014.04.003
Version
Postprint
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Volume
127
