A note on the unsteady motion under gravity of a corner point on a free surface: a generalization of Stokes' theory

David Needham, J Billingham

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we develop a theory based on local asymptotic coordinate expansions for the unsteady propagation of a corner point on the constant-pressure free surface bounding an incompressible inviscid fluid in irrotational motion under the action of gravity. This generalizes the result of Stokes and Michell relating to the horizontal propagation of a corner at constant speed.
Original languageEnglish
Pages (from-to)165-173
Number of pages9
JournalRoyal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
Volume465
Issue number2101
Early online date16 Sep 2008
DOIs
Publication statusPublished - 8 Jan 2009

Keywords

  • Stokes' 120 degrees corner flow
  • inviscid irrotational free surface flow
  • Stokes wave

Fingerprint

Dive into the research topics of 'A note on the unsteady motion under gravity of a corner point on a free surface: a generalization of Stokes' theory'. Together they form a unique fingerprint.

Cite this