Marangoni convection of power law fluids driven by power-law temperature gradient

Abstract

This paper presents a research for Marangoni convection driven by a power-law temperature gradient. It is assumed that the surface tension is quadratic functions of the temperature and the effects of power law viscosity on temperature field into account by assuming that the temperature field is similar to the velocity field. The Navier–Stokes equations and the heat equation with modified Fourier's law heat conduction (Zheng's Model) for power law fluid media are reduced to two nonlinear ordinary differential equations and the solutions are presented numerically. The effects of the Power-law Number and the Marangoni Number on the interfacial velocity and the interfacial temperature gradient are presented in tabular form and the effects of various parameters on the velocity and temperature fields are analyzed and discussed in detail.