In Middle Volga Mathematical Society

Mathematical modeling of compound periodic suspensions

A. O. Syromyasov

Mordovian State University

Abstract: The paper deals with periodic suspension with elementary cell containing several particles. The comparison is made of these compound suspensions and suspensions containing a Bravais lattice of particles. Expressions for hydrodynamic forces, moments and stresslets acting on suspended particles are given.

Keywords: compound lattice, Bravais lattice, viscous fluid, Stokes equation, suspension, symmetry, point group.

UDC: 532.133/.135:532.516.5

Received: 10.09.2008