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The effect of viscosity on the transient free-surface waves in a two-dimensional tank

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Abstract

The paper attempts to develop some understanding of the interaction between viscous flow and a free surface by analysing the unsteady flow in an idealised two-dimensional rectangular tank. The mathematical model used is based on the linearized Navier-Stokes equations which are solved by use of the Laplace transform. Various results are provided to show the effect of viscosity on the free surface waves.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University College London, Torrington Place, London , WC1 7JE, , UK

    G.X. Wu & D.M. Greaves

  2. Department of Engineering Science, University of Oxford, Parks Road, Oxford , OX1 3PJ, , UK

    R. Eatock Taylor

Authors
  1. G.X. Wu
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  2. R. Eatock Taylor
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  3. D.M. Greaves
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Wu, G., Eatock Taylor, R. & Greaves, D. The effect of viscosity on the transient free-surface waves in a two-dimensional tank. Journal of Engineering Mathematics 40, 77–90 (2001). https://doi.org/10.1023/A:1017558826258

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  • DOI: https://doi.org/10.1023/A:1017558826258

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