Magnetohydrodynamic (MHD, also for magnetohydrodynamics) mixed convection of electrically conducting and radiative participating fluid is studied in a differentially heated vertical annulus. The outer cylinder is stationary, and the inner cylinder is rotating at a constant angular speed around its axis. The temperature difference between the two cylindrical walls creates buoyancy force, due to the density variation. A constant axial magnetic field is also imposed to resist the fluid motion. The nonlinear integro-differential equation, which characterizes the radiation transfer, is solved by the discrete ordinates method (DOM). The MHD equations, which describe the magnetic and transport phenomena, are solved by the collocation spectral method (CSM). Detailed numerical results of heat transfer rate, velocity, and temperature fields are presented for , , , and . The computational results reveal that the fluid flow and heat transfer are effectively suppressed by the magnetic field as expected. Substantial changes occur in flow patterns as well as in isotherms, when the optical thickness and emissivity of the walls vary in the specified ranges. However, the flow structure and the temperature distribution change slightly when the scattering albedo increases from 0 to 0.5, but a substantial change is observed when it increases to 1.
Skip Nav Destination
Article navigation
Research-Article
Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus
Ben-Wen Li,
Ben-Wen Li
Institute of Thermal Engineering,
School of Energy and Power Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mails: heatli@hotmail.com; heatli@dlut.edu.cn
School of Energy and Power Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mails: heatli@hotmail.com; heatli@dlut.edu.cn
Search for other works by this author on:
Wei Wang,
Wei Wang
Key Laboratory of National Education Ministry
for Electromagnetic Processing of Materials,
Northeastern University,
Shenyang 110819, China
e-mail: wangwei_neu_china@hotmail.com
for Electromagnetic Processing of Materials,
Northeastern University,
Shenyang 110819, China
e-mail: wangwei_neu_china@hotmail.com
Search for other works by this author on:
Jing-Kui Zhang
Jing-Kui Zhang
The State key Laboratory of Refractories and
Metallurgy,
Wuhan University of Science and Technology,
Wuhan 430081, China
e-mail: zk_neu@163.com
Metallurgy,
Wuhan University of Science and Technology,
Wuhan 430081, China
e-mail: zk_neu@163.com
Search for other works by this author on:
Ben-Wen Li
Institute of Thermal Engineering,
School of Energy and Power Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mails: heatli@hotmail.com; heatli@dlut.edu.cn
School of Energy and Power Engineering,
Dalian University of Technology,
Dalian 116024, China
e-mails: heatli@hotmail.com; heatli@dlut.edu.cn
Wei Wang
Key Laboratory of National Education Ministry
for Electromagnetic Processing of Materials,
Northeastern University,
Shenyang 110819, China
e-mail: wangwei_neu_china@hotmail.com
for Electromagnetic Processing of Materials,
Northeastern University,
Shenyang 110819, China
e-mail: wangwei_neu_china@hotmail.com
Jing-Kui Zhang
The State key Laboratory of Refractories and
Metallurgy,
Wuhan University of Science and Technology,
Wuhan 430081, China
e-mail: zk_neu@163.com
Metallurgy,
Wuhan University of Science and Technology,
Wuhan 430081, China
e-mail: zk_neu@163.com
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received December 21, 2014; final manuscript received December 27, 2015; published online March 8, 2016. Assoc. Editor: Sujoy Kumar Saha.
J. Heat Transfer. Jun 2016, 138(6): 062501 (13 pages)
Published Online: March 8, 2016
Article history
Received:
December 21, 2014
Revised:
December 27, 2015
Citation
Li, B., Wang, W., and Zhang, J. (March 8, 2016). "Combined Effects of Magnetic Field and Thermal Radiation on Fluid Flow and Heat Transfer of Mixed Convection in a Vertical Cylindrical Annulus." ASME. J. Heat Transfer. June 2016; 138(6): 062501. https://doi.org/10.1115/1.4032609
Download citation file:
Get Email Alerts
Cited By
On Prof. Roop Mahajan's 80th Birthday
J. Heat Mass Transfer
Thermal Hydraulic Performance and Characteristics of a Microchannel Heat Exchanger: Experimental and Numerical Investigations
J. Heat Mass Transfer (February 2025)
Related Articles
Influence of Optical Parameters on Magnetohydrodynamic Natural Convection in a Horizontal Cylindrical Annulus
J. Heat Transfer (June,2019)
Effect of Radiation on Hydromagnetic Mixed Convective Flow in a Vertical Channel Filled With Porous Media: A Thermal Nonequilibrium Approach
J. Heat Transfer (April,2020)
Simultaneous Effects of Nonlinear Mixed Convection and Radiative Flow Due to Riga-Plate With Double Stratification
J. Heat Transfer (October,2018)
Related Proceedings Papers
Related Chapters
Short-Pulse Collimated Radiation in a Participating Medium Bounded by Diffusely Reflecting Boundaries
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
The MCRT Method for Participating Media
The Monte Carlo Ray-Trace Method in Radiation Heat Transfer and Applied Optics
Radiation
Thermal Management of Microelectronic Equipment