Hydrodynamic Simulation of Liquid-Solid Fluidized Bed with Non-Newtonian Power-law Fluids Using SPM-LBM Method

In the present study, a combined Lattice Boltzmann method-smoothed profile method is used for simulation of a liquid-solid fluidized bed with non-Newtonian Power-law fluids. The geometry is contained circular monodisperse particles in a cylindrical channel. The hydrodynamic model of the flow is based on the Bhatnagar–Gross–Krook Lattice Boltzmann method and the smoothed profile method is adopted to enforce the no-slip boundary condition at the liquid-solid interface. A numerical instance of a fluidized bed involving 416 particles is presented to demonstrate the capability of the combined scheme. The results for both Newtonian and non-Newtonian liquids have compared with the experimental results of other researchers. Porosity and bed height results of Newtonian fluid (water) compared with the Richardson-Zaki equation which was showed good correspondence. Non-Newtonian fluid results compared with the Yu equation for estimating minimum fluidization velocity and the Machač-Ulbrichová equation for porosity and bed height, yet by considering uncertainty in non-Newtonian equations results of comparisons are acceptable.