Thermocapillary convection in a rectangular cavity with a deformable interface
Abstract
A finitevolume method and a boundary element technique are used to compute twodimensional (2D) thermocapillary convection in a rectangular cavity. The free surface is deformable and the deviations from a flat interface, h, are assumed small in the finitevolume calculations as appropriate for small Capillary (Ca). Two asymptotic approaches are employed; the first is an expansion valid as Ca > 0 and the second assumes h > 0, retaining Ca explicitly as a parameter. On the other hand, the boundary elements approach can be used with O(1) surface deformations. These three different formulations are used to calculate thermocapillary motions in fluids with small Prandtl numbers of about 0.01, Ca less than 0.05, aspect ratios (width/height) 1, 2 and 4, and various values of the Marangoni number (Ma). The same solutions are calculated with these different approaches and are found in good agreement for values of Ca up to 0.05. All solutions calculated are steady, which is both in agreement and disagreement with recently published results by different authors employing different numerical techniques.
 Publication:

Advances in Space Research
 Pub Date:
 August 1995
 Bibcode:
 1995AdSpR..16g..41M
 Keywords:

 Capillary Flow;
 Cavities;
 Convective Flow;
 Deformation;
 Microgravity;
 Oscillations;
 Analysis (Mathematics);
 Boundary Conditions;
 Marangoni Convection;
 Mathematical Models;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer