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A mathematical model for the initial stages of fluid impact in the presence of a cushioning fluid layer

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Abstract

In this paper we formulate a mathematical model for initial stages of the impact of a rigid body onto a fluid in the presence of a cushioning fluid layer between them. Some numerical and analytical solutions are obtained in appropriate asymptotic limits, and numerical solutions are obtained to the full leading order problem. Finally, we compare our model with the work of other authors.

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Author notes

  1. S. K. Wilson

    Present address: School of Mathematics, University of East Anglia, NR4 7TJ, Norwich, England

Authors and Affiliations

  1. Mathematical Institute, University of Oxford, 24-29 St. Giles', OX2 3LB, Oxford, England

    S. K. Wilson

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  1. S. K. Wilson
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Wilson, S.K. A mathematical model for the initial stages of fluid impact in the presence of a cushioning fluid layer. J Eng Math 25, 265–285 (1991). https://doi.org/10.1007/BF00044334

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  • DOI: https://doi.org/10.1007/BF00044334

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