In this study, the flow pattern in the novel viscous pump is analyzed using the lattice Boltzmann method (LBM) to simulate the whole flow field in the pump with three shape cross-sections of cylinders, the circular, rectangular, as well as square. The solid curved wall boundary condition based on interpolation and bounce-back on the wall of the LBM simulation is used in steady and unsteady flow, and the moving boundary condition is also used in the latter. The analyses predicted the distributions of streamlines and the average dimensionless velocities at the exit profile which change with time. The numerical results of the average dimensionless velocities at the exit profile are in agreement with previous experimental works, which indicate that the circular contour is better than the rectangular or square ones.
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