Mathematical modeling of filtering suspensions of non – newtonian behavior in alluvial filters

Abstract

Abstract Clarification of liquids and preparation of industrial water plays an important role in various industries, in particular, in the development of oil fields, in the fuel oil industry. In this article, the filtration of a fine suspension of non-Newtonian behavior in a batch alluvial filter is considered. The power-law fluid model is used to describe the rheological state of the medium. A mathematical model is constructed for a filter element of the tubular type. To calculate the thickness of the formed sediment layer, differential equations are constructed. The results of numerical calculations are presented. The influence of the degree of nonlinearity of the medium on the duration of the filter cycle is shown.