Математическое моделирование некоторых процессов перемешивания

Abstract

We model process of mixing of a viscous incompressible liquid in rectan gular area when lateral walls are at rest, and the top and bottom walls are moved by turns or with overlapping. To find analytical expression for a stream function, a structural-variational method of R-functions was used. As coordinate functions was taken two-dimensional finite splines. Process is modelled at different geo metrical parameters of area. Movement of particles of a liquid is modelled. We find and investigate periodic points: areas of intensive mixing. Calculations were made using the mathematical package MATHEMATICA 7.