• Corpus ID: 243847911

An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension

@inproceedings{Tan2021AnIS,
  title={An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension},
  author={Chee Han Tan and Christel Hohenegger and Braxton Osting},
  year={2021}
}
. In 1965, B. A. Troesch solved the isoperimetric sloshing problem of determining the container shape that maximizes the fundamental sloshing frequency among two classes of shallow containers: symmetric canals with a given free surface width and cross-sectional area, and radially symmetric containers with a given rim radius and volume [doi:10.1002/cpa.3160180124]. Here, we extend these results in two ways: (i) we consider surface tension effects on the fluid free surface, assuming a flat… 

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High Spots for the Ice-Fishing Problem with Surface Tension
TLDR
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