Research Papers: Forced Convection

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

[+] Author and Article Information
Yanhai Lin

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

Liancun Zheng

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

Xinxin Zhang

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

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 21, 2012; final manuscript received January 6, 2013; published online April 11, 2013. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 135(5), 051702 (Apr 11, 2013) (6 pages) Paper No: HT-12-1448; doi: 10.1115/1.4023394 History: Received August 21, 2012; Revised January 06, 2013

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.

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Grahic Jump Location
Fig. 2

Effects of the Hartmann number on the velocity for n = 0.8

Grahic Jump Location
Fig. 3

Effects of the Hartmann number on the temperature for n = 0.8

Grahic Jump Location
Fig. 4

Effects of the power-law index on the velocity

Grahic Jump Location
Fig. 5

Effects of the power-law index on f(η)

Grahic Jump Location
Fig. 6

Effects of the power-law index on the shear tension

Grahic Jump Location
Fig. 7

Effects of the Marangoni number on the temperature for n = 1.2

Grahic Jump Location
Fig. 1

Schematic of the physical system



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