Lattice Boltzmann simulation of the cubic magnetoconvection with coupled revised matrix-multiple relaxation time model Online publication date: Fri, 07-Dec-2018
by Mohamed Hamdi; Souheil Elalimi; Sassi Ben Nasrallah
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 18, No. 6, 2018
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.
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