Attractions and Repulsions of Parallel Plates Partially Immersed in a Liquid Bath: III

Rajat Bhatnagar and Robert Finn

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Submission date: 06. Oct. 2013
published in: Boundary value problems, 2013 (2013) 12, art-no. 277 
DOI number (of the published article): 10.1186/1687-2770-2013-277
Bibtex
MSC-Numbers: 76B45, 53A10
PACS-Numbers: 68.03.-g, 68.05.-n, 68.08.-p
Keywords and phrases: capillarity, surface tension, floating objects, mean curvature

Abstract:
We continue earlier studies on the indicated configuration, improving previous estimates, providing explicit expressions for the relevant forces and a formal algorithmic procedure for their calculation, and sharpening and extending the predictions for qualitative distinctions among varying types of behavior that can occur. We include graphical representations for some of the more significant relations, as an aid to interpretation and for eventual design of experiments to test the physical relevance of the new material.