Journal
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume 13, Issue 5, Pages 1142-1168Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.OA-2020-0118
Keywords
Non-Newtonian nanofluid; magnetic field effect; multiple-relaxation-time; lattice Boltzmann Method; average rate of heat transfer
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Funding
- Ministry of Science and Technology (MOST), the People's Republic of Bangladesh [441-EAS]
- North South University (NSU), Dhaka, Bangladesh [CTRG19/SEPS/9, CTRG19/SEPS/15]
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This study investigates the magnetic field effects on natural convection of a non-Newtonian powerlaw nanofluid in a rectangular enclosure using GPU-accelerated MRT-LBM. The research focuses on the heat transfer characteristics and temperature distribution of nanofluids with different particle compositions within the enclosure. The results show that the heat transfer rate is enhanced for shear-thinning fluids under the influence of magnetic fields, while it is attenuated for shear-thickening fluids.
The magnetic field effects on natural convection of a non-Newtonian powerlaw nanofluid in the rectangular enclosure have been investigated using the graphics process unit (GPU) accelerated multiple-relaxation-time (MRT) lattice Boltzmann method (LBM). The enclosure is filled up with a power-law non-Newtonian nanofluid with a proper percentage of the nanoparticle volume fraction. The height of the enclosure is twice its width. The left and right walls are heated with constant temperature, and the top and bottom walls are thermally adiabatic. Initially, the code is validated for the Newtonian nanofluid, and then validation is done with non-Newtonian powerlaw fluids. The numerical results with the effects of magnetic fields are presented in terms of the streamlines, isotherms, temperature distribution, local and average Nusselt number for the shear thinning and thickening nanofluid. The heat transfer rate gets augmented for the shear-thinning fluids (n < 1) while that becomes attenuated for the shear-thickening fluids (n > 1). Besides, the magnetic field effects reduce the heat transfer rate from the wall to the fluid region.
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