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Article

A Graphics Process Unit-Based Multiple-Relaxation-Time Lattice Boltzmann Simulation of Non-Newtonian Fluid Flows in a Backward Facing Step

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Department of Mathematics & Physics, North South University, Dhaka 1229, Bangladesh
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Center for Applied and Scientific Computing (CASE), North South University, Dhaka 1229, Bangladesh
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Department of Mathematics, Jagannath University, Dhaka 1100, Bangladesh
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School of Civil Engineering, University of Leeds, Leeds LS2 9JT, UK
*
Author to whom correspondence should be addressed.
Computation 2020, 8(3), 83; https://doi.org/10.3390/computation8030083
Received: 9 July 2020 / Revised: 9 September 2020 / Accepted: 14 September 2020 / Published: 21 September 2020
(This article belongs to the Section Computational Engineering)
A modified power-law (MPL) viscosity model of non-Newtonian fluid flow has been used for the multiple-relaxation-time (MRT) lattice Boltzmann methods (LBM) and then validated with the benchmark problems using the graphics process unit (GPU) parallel computing via Compute Unified Device Architecture (CUDA) C platform. The MPL model for characterizing the non-Newtonian behavior is an empirical correlation that considers the Newtonian behavior of a non-Newtonian fluid at a very low and high shear rate. A new time unit parameter (λ) governing the flow has been identified, and this parameter is the consequence of the induced length scale introduced by the power law. The MPL model is free from any singularities due to the very low or even zero shear-rate. The proposed MPL model was first validated for the benchmark study of the lid-driven cavity and channel flows. The model was then applied for shear-thinning and shear-thickening fluid flows through a backward-facing step with relatively low Reynolds numbers, Re = 100–400. In the case of shear-thinning fluids (n=0.5), laminar to transitional flow arises while Re300, and the large vortex breaks into several small vortices. The numerical results are presented regarding the velocity distribution, streamlines, and the lengths of the reattachment points. View Full-Text
Keywords: modified power-law viscosity model; non-Newtonian fluid; multiple-relaxation-time; lattice Boltzmann method; GPU computing; backward facing step modified power-law viscosity model; non-Newtonian fluid; multiple-relaxation-time; lattice Boltzmann method; GPU computing; backward facing step
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MDPI and ACS Style

Molla, M.M.; Nag, P.; Thohura, S.; Khan, A. A Graphics Process Unit-Based Multiple-Relaxation-Time Lattice Boltzmann Simulation of Non-Newtonian Fluid Flows in a Backward Facing Step. Computation 2020, 8, 83. https://doi.org/10.3390/computation8030083

AMA Style

Molla MM, Nag P, Thohura S, Khan A. A Graphics Process Unit-Based Multiple-Relaxation-Time Lattice Boltzmann Simulation of Non-Newtonian Fluid Flows in a Backward Facing Step. Computation. 2020; 8(3):83. https://doi.org/10.3390/computation8030083

Chicago/Turabian Style

Molla, Md. M., Preetom Nag, Sharaban Thohura, and Amirul Khan. 2020. "A Graphics Process Unit-Based Multiple-Relaxation-Time Lattice Boltzmann Simulation of Non-Newtonian Fluid Flows in a Backward Facing Step" Computation 8, no. 3: 83. https://doi.org/10.3390/computation8030083

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