Mathematika

Table of Contents - January 2010 - Volume 56, Issue 01  

Research Article

SUPERCRITICAL TWO-FLUID INTERACTIONS WITH SURFACE TENSION AND GRAVITY

Jean-Marc Vanden-Broecka1 and Frank T. Smitha2

a1 Department of Mathematics, University College London, Gower St, London WC1E 6BT, U.K. (email: broeck@math.ucl.ac.uk)

a2 Department of Mathematics, University College London, Gower St, London WC1E 6BT, U.K. (email: frank@math.ucl.ac.uk)

Abstract

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.

(Received April 15 2009)

MSC (2000)

  • 76B07 (primary);
  • 76B45 (secondary)