Title: Natural convection of diamagnetic fluid in an enclosure filled with porous medium under magnetic field

Authors: Min Zeng, Qiuwang Wang, Hiroyuki Ozoe, Gang Wang, Zipeng Huang

Addresses: State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China. ' State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China. ' Kyushu University, Kasuga Koen 6-1, Kasuga 816-8580, Japan. ' State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China. ' State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Abstract: Natural convection in an enclosure filled with a diamagnetic fluid-saturated porous medium under strong magnetic field is numerically investigated. The Brinkman-Forchheimer extended Darcy model is used to solve the momentum equations, and the energy equations for fluid and solid are solved with the Local Thermal Non-Equilibrium (LTNE) model. Computations are performed for a range of Darcy number from 10⁻⁶ to 10⁻³, Rayleigh number from 10³ to 10⁶, and magnetic force parameter γ from −200 to 0. The results show that the magnetic force has significant effect on the flow field and heat transfer in a diamagnetic fluid-saturated porous medium.

Keywords: natural convection; diamagnetic fluids; porous medium; magnetic force; LTNE; local thermal non-equilibrium model; flow field; heat transfer.

DOI: 10.1504/PCFD.2009.023351

Progress in Computational Fluid Dynamics, An International Journal, 2009 Vol.9 No.2, pp.77 - 85

Published online: 19 Feb 2009 *

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