PRANDTL NUMBER EFFECTS FOR MARANGONI CONVECTION OVER A FLAT SURFACE

This paper presents a similarity solution for Marangoni flow over a flat surface for both the momentum equations and the energy equation assuming a developing boundary layer along a surface. The analysis also shows how the heat transfer and flow rate vary with Prandtl number. Since the Predicted boundary layer thickness would be less than the diameter of a typical Vapor bubble during nucleate boiling, the curvature effects can be neglected and this analysis can be used as a first estimate of the effect of Marangoni flow around a vapor bubble.