Mathematical model of thermal water concentration

Abstract

Thermal spring water is currently widely used as a finished product in the form of a spray and as an important component of effective dermatological and cosmetic products. In the Russian Federation, nitrogensilicon thermal waters (ASTW) are widespread in the Far East, especially in Kamchatka, which means they are significantly removed from the enterprises of mainland Russia that produce dermatological and cosmetic products. The high cost of delivery to processing sites leads to higher prices for drugs containing thermal water as a component. The purpose of the research was to concentrate thermal water of a certain composition using reverse osmosis. The results showed that concentrating water using the reverse osmosis method retained its original properties and the percentage of macro and microelements. High concentration capacity and cost-effectiveness were demonstrated by the use of Desal®TFM roll-type reverse osmosis elements in experiments. A mathematical model of the process of concentrating thermal water from Kamchatka (Nizhne-Paratunsky springs) using a reverse osmosis unit by repeatedly passing it through a membrane is proposed. An original mathematical formula was obtained to determine the rational degree of concentration in order to minimize the total costs of concentration and transportation of the resulting concentrate.