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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Attractions and Repulsions of Parallel Plates Partially Immersed in a Liquid Bath: III
Rajat Bhatnagar and Robert FinnAbstract
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.
- Received:
- 06.10.13
- Published:
- 05.11.13
- MSC Codes:
- 76B45, 53A10
- PACS:
- 68.03.-g, 68.05.-n, 68.08.-p
- Keywords:
- capillarity, surface tension, floating objects, mean curvature