The current paper presents a 3D Lattice Boltzmann model for numerical simulation of the interaction of the suspended solid particles with the flow field in microchannels. Three-dimensional fluid flow computation is performed using a 19-bit single-relaxation-time Lattice Boltzmann method (D3Q19), while the Newtonian dynamic equations are solved to investigate the transport of the suspended solid particles. The needed forces in equations of the particle motion are evaluated by the momentum exchange method. The effects of solid particles with various diameters on the fluid flow at different Reynolds numbers in a rectangular microchannel are also investigated and discussed.

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