Capillary oscillations at a circular orifice |
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Authors: | Hyeon Jeong Kim Marco A Fontelos Hyung Ju Hwang |
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Institution: | 1. Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea;2. Instituto de Ciencias Matemáticas (ICMAT), C/Nicolás Cabrera, 28049 Madrid, Spain |
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Abstract: | We compute the normal frequencies and normal modes for the oscillation of the free surface of a perfect incompressible fluid inside a semi-infinite container with a circular orifice. In doing that, a dual integral equation system involving the Bessel functions must be solved. We discuss the cases where the contact line between the free surface and the container is pinned as well as the case where it moves with a constant contact angle. |
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