Effects of gravity levels on MarangoniStokes flows in Plateau configurations
Abstract
A numerical model is developed for combined free convection in the Stokes regime, and a solution is derived for a plane configuration. General properties of free convection flows produced by the actions of imposed temperature differences and gravity fields when Stokes regimes prevail are formulated. The model is based on nonelastic, nonmicropolar Newtonian interfacing fluids, negligible bulk viscosity, interfaces that are massless surface phases with a single degree of freedom, and a linear equation of state for the interfacial tension. Use is made of the Boussinesq and constant transport property approximation, and steady motion is assumed. It is shown that, for Plateau conditions, the zeroth order problem is fully linear and Marangoni and buoyancy effects are superposable. A solution is found for the case of plane geometry through application of biorthogonal complex functions. Comparisons are made between Marangoni, buoyant, and combined free convection in terms of streamlines, velocity profiles, and dynamic interface shapes.
 Publication:

Paris International Astronautical Federation Congress
 Pub Date:
 September 1982
 Bibcode:
 1982pari.iafcS....N
 Keywords:

 Free Convection;
 Gravitational Effects;
 Stokes Flow;
 Thermal Stresses;
 Buoyancy;
 Interfacial Tension;
 LiquidLiquid Interfaces;
 Mathematical Models;
 Space Commercialization;
 Fluid Mechanics and Heat Transfer