Modelo matemático da filtração rápida para projetos de filtros de areia.

Abstract

In this work it is attempted to demonstrate the feasibility of a mathematical analysis to optimize rapid sand filters. From experimental filtration of decanted water from the Gavião Water Treatment Plant of Fortaleza and from a mathematical model for rapid filtration, equations were derived to describe turbidity removal and head loss over the filter bed as a function of filtration rate, depth of the filter layer, filtration time and turbidy and temperature of the filter influent. Tests were carried out at different filtration rates and from an analysis of the collected date, a mathematical model was developed from Lerk's filtration theory, in which turbidity in stead of suspended solids concentration is used as a parameter. To demonstrate the precision as a parameter the theoretical results were compared with the experimental ones of filtration tests. The equation were subsequently used to optimize filtration at the Gavião Plant.