Nonlinear thermocapillary convection in a liquid cylinder
Abstract
Nonlinear thermocapillary convection in a liquid cylinder is investigated in the limit of large Marangoni number M, small Prandtl number Pr and zero gravity. The liquid cylinder lies between two solid cylinders with the same radius and the same axis. There exists a similarity solution for the flow velocity in the free surface boundary layer of thickness epsilon exp 1/3, where epsilon = Pr/M. Surface tension driven flow in this layer enters a square inviscid corner (near the rigid and free boundaries) whose side is of order epsilon exp 1/3. The solution for flow velocity in this corner is determined and it is shown that no flow enters the core from the inviscid corner and that the fluid in this corner directly enters a boundary layer of thickness epsilon exp 1/3 near the rigid surface. However, it is found that this highvelocity layer separates quickly from the rigid surface, unless the height of the cylinder is sufficiently small.
 Publication:

AIAA, ASME, SIAM, and APS, National Fluid Dynamics Congress
 Pub Date:
 1988
 Bibcode:
 1988aiaa.conf.1908R
 Keywords:

 Capillary Flow;
 Circular Cylinders;
 Flow Velocity;
 Free Convection;
 Liquid Flow;
 Marangoni Convection;
 Boundary Layer Flow;
 Interfacial Tension;
 Space Commercialization;
 Surface Layers;
 Fluid Mechanics and Heat Transfer