Affiliations: Department of Mathematics and Applications, Ecole Normale Supérieure, Paris, France. E-mail: habib.ammari@ens.fr | Department of Mathematics, Stanford University, Stanford, CA, USA. E-mail: pgarapon@stanford.edu | Department of Mathematics, Inha University, Incheon, Korea. E-mails: {hbkang, hdlee}@inha.ac.kr
Note: [] Corresponding author: Habib Ammari, Department of Mathematics and Applications, Ecole Normale Supérieure, 45 Rue d'Ulm, 75005 Paris, France. E-mail: habib.ammari@ens.fr.
Abstract: 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.
Keywords: effective viscosity, dilute suspension, viscous moment tensor, high-order expansions
