Magnetohydrodynamics Thermocapillary Marangoni Convection Heat Transfer of Power-Law Fluids Driven by Temperature Gradient

Author:

Lin Yanhai1,Zheng Liancun2,Zhang Xinxin3

Affiliation:

1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China; School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

2. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

3. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Abstract

This paper presents an investigation for magnetohydrodynamics (MHD) thermocapillary Marangoni convection heat transfer of an electrically conducting power-law fluid driven by temperature gradient. The surface tension is assumed to vary linearly with temperature and the effects of power-law viscosity on temperature fields are taken into account by modified Fourier law for power-law fluids (proposed by Pop). The governing partial differential equations are converted into ordinary differential equations and numerical solutions are presented. The effects of the Hartmann number, the power-law index and the Marangoni number on the velocity and temperature fields are discussed and analyzed in detail.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

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