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SUPERCRITICAL TWO‐FLUID INTERACTIONS WITH SURFACE TENSION AND GRAVITY
Author(s) -
Vanden-Broeck Jean-Marc,
Smith Frank T.
Publication year - 2010
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579309000448
Subject(s) - inviscid flow , surface tension , supercritical fluid , mechanics , equation of state , viscosity , computation , mathematics , capillary length , classical mechanics , mathematical analysis , thermodynamics , physics , algorithm
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.