Title: Lattice Boltzmann simulation of the cubic magnetoconvection with coupled revised matrix-multiple relaxation time model

Authors: Mohamed Hamdi; Souheil Elalimi; Sassi Ben Nasrallah

Addresses: Laboratory of Wind Power Control and Waste Energy Recovery, Research and Technology Center of Energy, Borj-Cedria, BP95, Hammam-Lif 2050, Tunisia ' Energy and Thermal Systems Laboratory, National Engineering School of Monastir, Street Ibn El Jazzar-Monastir 5019, Tunisia ' Energy and Thermal Systems Laboratory, National Engineering School of Monastir, Street Ibn El Jazzar-Monastir 5019, Tunisia

Abstract: Lattice Boltzmann method (LBM) with revised matrix RM-D3Q19 coupled with multiple relaxation time MRT-D3Q7 model is proposed for the first time to study the effect of external magnetic fields on heat transfer in a cubical cavity subjected to horizontal temperature difference. Heat transfer and flow patterns are predicted for fluid with low Prandtl number ranging from 0.05 to 0.15, a range of Rayleigh number between 10³ and 10⁶, the Hartmann number up to 60 while the inclination angle of the magnetic field about the horizontal is between 0° and 360°. Results revealed that heat transfer in the cavity is an increasing function of Rayleigh number and a decreasing function of magnetic strength. Three dimensional effects of magnetic fields are also important and the transversal velocity changed considerably which has a direct manifestation on the overall Nusselt number. This result highlighted that it is possible to magnetically control natural convection.

Keywords: lattice Boltzmann method; LBM; RM-D3Q19; MRT-D3Q7; cubical cavity; magnetic fields; inclination angle.

DOI: 10.1504/PCFD.2018.096621

Progress in Computational Fluid Dynamics, An International Journal, 2018 Vol.18 No.6, pp.376 - 391

Received: 23 May 2016
Accepted: 30 Apr 2017
Published online: 07 Dec 2018 *

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