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Lubrication expressions for the friction coefficients of a spherical particlemoving in a fluid between and along two parallel solid walls are explicitlyevaluated in the low-Reynolds-number regime. They are used to determinelubrication expression for the particle free motion under an ambient Poiseuilleflow. The range of validity and the accuracy of the lubrication approximationis determined by comparing with the corresponding results of the accuratemultipole procedure. The results are applicable for thin, wide and longmicrochannels, or quasi-two-dimensional systems.

Lubrication approximation for micro-particles moving along parallel walls