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Effective viscosity properties of dilute suspensions of arbitrarily shaped particles

In this paper we derive high-order asymptotic expansions of the effective viscosity properties of a dilute periodic suspension composed of freely-suspended arbitrarily shaped particles dispersed in an incompressible Newtonian fluid. High-order terms are not only function of the viscous moment tensor but also of a distortion tensor that characterizes the periodic array. Mathematics subject classifications (MSC2000): 35B30.