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SUPERCRITICAL TWO-FLUID INTERACTIONS WITH SURFACE TENSION AND GRAVITY

Part of:Incompressible inviscid fluids

Published online by Cambridge University Press:  10 December 2009

Jean-Marc Vanden-Broeck and
Frank T. Smith
Jean-Marc Vanden-Broeck
Affiliation:
Department of Mathematics, University College London, Gower St, London WC1E 6BT, U.K. (email: broeck@math.ucl.ac.uk)
Frank T. Smith
Affiliation:
Department of Mathematics, University College London, Gower St, London WC1E 6BT, U.K. (email: frank@math.ucl.ac.uk)

Abstract

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Gravity and surface-tension effects are examined for inviscid–inviscid interactions between two fluids close to a wall. The ratios of density and viscosity of the two fluids are taken to be small. A nonlinear integro–differential equation is found to govern the near-wall flow velocity, interface shape and pressure; analysis, computation and comparisons are then applied. Travelling-state solutions are of particular interest.

MSC classification

Secondary:76B07: Free-surface potential flows76B45: Capillarity (surface tension)

Information

Type
Research Article
Information
Mathematika , Volume 56 , Issue 1 , January 2010, pp. 93 - 106
Copyright
Copyright © University College London 2010

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