Influence of optical parameters on MHD natural convection in a horizontal cylindrical annulus

[+] Author and Article Information
Wei Wang

School of Energy Science and Engineering, Central South University, Changsha, 410083, China

Ben-Wen Li

Institute of Thermal Engineering, School of Energy & Power Engineering, Dalian University of Technology, Dalian, 116024, China
heatli@dlut.edu.cn; heatli@hotmail.com

Zhangmao Hu

School of Energy and Power Engineering, Changsha University of Science and Technology, Changsha, 410076, China

1Corresponding author.

ASME doi:10.1115/1.4042811 History: Received May 27, 2018; Revised January 09, 2019


The coupled phenomena of radiative-magnetohyrodynamic natural convection in a horizontal cylindrical annulus is numerically investigated. The buoyant flow is driven by the temperature difference between the inner and outer cylinder walls, while a circumferential magnetic field induced by a constant electric current is imposed. The hybrid approach of finite volume and discrete ordinates methods (FV-DOM) is developed to solve the nonlinear integro-differential governing equations in polar coordinate system, and accordingly, the influences of Hartmann number, radiation-convection parameter, and optical properties of fluid and wall on thermal and hydrodynamic behaviors of the 'downward flow', originally occurring without consideration of radiation and magnetic field, are mainly discussed. The results indicate that both the circulating flow and heat transfer are weakened by the magnetic field, but its suppression effect on the latter is rather small. Under the influence of magnetic field, the 'downward flow' pattern has not been obtained from zero initial condition even for the case of weak radiation of NR=0.1. Besides, the variation of radiative heat transfer rate with angular positions diminishes for the fluid with strong scattering or weak absorption.

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