Journal of Engineering Mathematics

, Volume 40, Issue 1, pp 77–90 | Cite as

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

  • G.X. Wu
  • R. Eatock Taylor
  • D.M. Greaves


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.

free surface sloshing waves viscosity 


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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • G.X. Wu
    • 1
  • R. Eatock Taylor
    • 2
  • D.M. Greaves
    • 1
  1. 1.Department of Mechanical EngineeringUniversity College LondonLondon UK
  2. 2.Department of Engineering ScienceUniversity of OxfordOxford UK

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