Effects of internal heat generation and variable viscosity on Marangoni convection
Abstract
The problem of Marangoni convection in a horizontal fluid layer with internal heat generation is solved using the sequential gradientrestoration algorithm (SGRA) developed for optimal control problems. A general discussion of the method is given. The effects of the temperaturedependent surface tension and viscosity are studied by examining the critical Marangoni numbers and wave numbers. The validity of the method is established by comparison with the work in the literature for the case of a linear temperature profile across the fluid layer.
 Publication:

Numerical Heat Transfer
 Pub Date:
 February 1987
 Bibcode:
 1987NumHT..11..165L
 Keywords:

 Fluid Flow;
 Heat Generation;
 Incompressible Fluids;
 Interfacial Tension;
 Marangoni Convection;
 Viscous Flow;
 Algorithms;
 Boundary Value Problems;
 Continuity Equation;
 Fortran;
 NavierStokes Equation;
 Systems Stability;
 Fluid Mechanics and Heat Transfer