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Incompressible impulsive wall impact of liquid cylinders

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Abstract

Analytical solutions are given for cylindrical fluid bodies in translational motion that hit a plane wall in impulsive impact at constant velocity. We consider impact of fluid bodies with different rectangular and circular cross sections, and derive analytical solutions in terms of Fourier series or Fourier–Bessel series. The initial velocity fields, the corresponding pressure impulse fields, and the associated virtual masses for each fluid body are calculated.

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Authors and Affiliations

  1. Faculty of Technology and Maritime Science, University College of Southeast Norway, 3103, Tønsberg, Norway

    Karina B. Hjelmervik

  2. Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P.O. Box 5003, 1432, Ås, Norway

    Peder A. Tyvand

Authors
  1. Karina B. Hjelmervik
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  2. Peder A. Tyvand
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Correspondence to Karina B. Hjelmervik.

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Hjelmervik, K.B., Tyvand, P.A. Incompressible impulsive wall impact of liquid cylinders. J Eng Math 103, 159–171 (2017). https://doi.org/10.1007/s10665-016-9866-6

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  • DOI: https://doi.org/10.1007/s10665-016-9866-6

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