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Mutual Attractions of Partially Immersed Parallel Plates

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Abstract

We complete a study initiated in an earlier paper, on the horizontal attracting and repelling forces acting on two parallel semi-infinite plates, partly immersed in an infinite liquid bath and subject to capillary attractions in a uniform gravity field. We find a considerable range of behavior patterns, depending on the contact angles on the plate sides and on the plate separation, in ways that we did not anticipate.

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Authors and Affiliations

  1. Mathematics Department, Stanford University, Stanford, CA, 94305-2125, USA

    Robert Finn & Devin Lu

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  1. Robert Finn
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  2. Devin Lu
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Correspondence to Robert Finn.

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The former author dedicates his contribution in this work to the memory of Margaret Keidel, whose talents should have been better recognized.

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Finn, R., Lu, D. Mutual Attractions of Partially Immersed Parallel Plates. J. Math. Fluid Mech. 15, 273–301 (2013). https://doi.org/10.1007/s00021-012-0105-2

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