Numerical simulation of unsteady thermal Marangoni flows
Abstract
A twodimensional numerical code for the analysis of unsteady thermal Marangoni flows which solves the full NavierStokes equation for natural, Marangoni, or combined free convection in plane and axisymmetric geometries and arbitrary variations of surface tension with temperature is developed. The equations are discretized using a semiimplicit finite difference scheme that preserves conservative and transport properties within cell mesh and allows the use of timesteps much larger than those relative to a purely explicit technique. Results pertain to a plane configuration with surface tension varying linearly with temperature. The time evolution of the velocity and temperature fields, and the assessement of the range of validity of the socalled shallowcavity approximation for steady state are discussed.
 Publication:

Mater. Sci. under Microgravity. Results of Spacelab 1
 Pub Date:
 December 1984
 Bibcode:
 1984msum.symp..251N
 Keywords:

 Computational Fluid Dynamics;
 Marangoni Convection;
 NavierStokes Equation;
 Unsteady Flow;
 Cavities;
 Finite Difference Theory;
 Interfacial Tension;
 Space Commercialization;
 Temperature Distribution;
 Transport Properties;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer