Simulation of Particle Motion in Non-Newtonian Fluids by Immersed Boundary Lattice Boltzmann Method

Document Type : Original Article

Authors

• Amin Amiri Delouei ¹
• Mohammad Hassan Kayhani ²
• Mohsen Nazari ²

¹ University of Bojnord

² University of Shahrood

10.22067/fum-mech.v28i1.46922

Abstract

In the current study, the immersed boundary – non-Newtonian lattice Boltzmann method is developed for simulation of forces act on a particle and also for computation of the particle velocity in vicinity of non-Newtonian fluids. In this research, the effect of extra force due to accelerated mass is also considered in non-Newtonian particle motion equations. Two applied problems of power-law non-Newtonian fluid flow over a stationary cylinder with square cross-section and a square falling particle in non-Newtonian fluids with different shear-thinning and shear-thickening behaviour are investigated. Results indicate that the force act on stationary cylinder and ultimate velocity of falling particle will experience considerable increase and decrease with growth of power-law non-Newtonian behaviour index, respectively.

Keywords

• Immersed boundary method
• Lattice Boltzmann method
• Direct Numerical Simulation
• Power-law non-Newtonian fluids
• Square cross-section

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