A numerical study is conducted for the Joule heating effects on fluid flow and heat transfer of radiatively participating magnetohydrodynamics (MHD) under different levels of thermal radiation considering the Hall effects in a square cavity. In the cavity, the vertical walls are isothermal with constant but different temperatures, while the horizontal walls are adiabatic. The absorption, emission, and scattering of the fluid and the reflection, absorption, and emission of the walls are all taken into account. The governing equations for momentum and energy together with the boundary conditions are solved by the finite volume method (FVM), while the governing equation for radiative transfer is solved by the discrete ordinates method (DOM). Tabular and graphical results are presented in terms of streamlines, isotherms, Nusselt number, and the average temperature of the fluid. After detailed analysis, we found that the Joule heating has notable effects on fluid flow and heat transfer in the cavity and Joule heating cannot be neglected in certain range of parameters.
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Research-Article
The Joule Heating Effects on Natural Convection of Participating Magnetohydrodynamics Under Different Levels of Thermal Radiation in a Cavity
Jing-Kui Zhang,
Jing-Kui Zhang
The State Key Laboratory
of Refractories and Metallurgy,
e-mail: zhangjingky@gmail.com
of Refractories and Metallurgy,
Wuhan University of Science and Technology
,Wuhan 430081
, China
e-mail: zhangjingky@gmail.com
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Ben-Wen Li,
Ben-Wen Li
1
The State Key Laboratory
of Refractories and Metallurgy,
e-mail: heatli@hotmail.com; heatli@dlut.edu.cn
of Refractories and Metallurgy,
Wuhan University of Science and Technology
,Wuhan 430081
, China
e-mail: heatli@hotmail.com; heatli@dlut.edu.cn
1Corresponding author.
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Yuan-Yuan Chen
Yuan-Yuan Chen
The State Key Laboratory
of Refractories and Metallurgy,
e-mail: chenyuanyuan@wust.edu.cn
of Refractories and Metallurgy,
Wuhan University of Science and Technology
,Wuhan 430081
, China
e-mail: chenyuanyuan@wust.edu.cn
Search for other works by this author on:
Jing-Kui Zhang
The State Key Laboratory
of Refractories and Metallurgy,
e-mail: zhangjingky@gmail.com
of Refractories and Metallurgy,
Wuhan University of Science and Technology
,Wuhan 430081
, China
e-mail: zhangjingky@gmail.com
Ben-Wen Li
The State Key Laboratory
of Refractories and Metallurgy,
e-mail: heatli@hotmail.com; heatli@dlut.edu.cn
of Refractories and Metallurgy,
Wuhan University of Science and Technology
,Wuhan 430081
, China
e-mail: heatli@hotmail.com; heatli@dlut.edu.cn
Yuan-Yuan Chen
The State Key Laboratory
of Refractories and Metallurgy,
e-mail: chenyuanyuan@wust.edu.cn
of Refractories and Metallurgy,
Wuhan University of Science and Technology
,Wuhan 430081
, China
e-mail: chenyuanyuan@wust.edu.cn
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 23, 2013; final manuscript received January 21, 2015; published online February 18, 2015. Assoc. Editor: Robert D. Tzou.
J. Heat Transfer. May 2015, 137(5): 052502 (10 pages)
Published Online: May 1, 2015
Article history
Received:
August 23, 2013
Revision Received:
January 21, 2015
Online:
February 18, 2015
Citation
Zhang, J., Li, B., and Chen, Y. (May 1, 2015). "The Joule Heating Effects on Natural Convection of Participating Magnetohydrodynamics Under Different Levels of Thermal Radiation in a Cavity." ASME. J. Heat Transfer. May 2015; 137(5): 052502. https://doi.org/10.1115/1.4029681
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