Numerical investigation of the effect of geometrical parameters on porosity of a liquid solid fluidized bed using combined lattice Boltzmann and smooted profile methods

In this study, the liquid-solid fluidized bed was simulated using a combination of Lattice Boltzmann and smoothed profile method and then by changing the geometrical parameters contains of, particles diameter, width of the bed, initial bed height and the placement of the particles in non-uniform particles bed, their effects on porosity are studied. The hydrodynamic model of the flow is based on the LBM and SPM is adopted to enforce the no-slip boundary condition at the liquid-solid interface. The kinematics and trajectory of the discrete particles are evaluated by Newton's law of motion. Comparison of numerical and empirical results for porosity at different velosities showed acceptable accuracy. Also, Simulations indicate that an increase in width of the bed and particles diameter increased porosity and an increase in initial bed height decreased the porosity of the bed. Finally, the effect of placement of particles in none uniform fluidized bed showed the highest porosity accurse where particles with a small diameter stay on particles with a large diameter, also where the particles are mixed together the lowest porosity was accrued.