Mathematical Modeling of Jet Aeration Process for Ecological Purification of Ponds

The problem of oxygen enrichment of polluted water bodies and volumes of liquids is considered. For this purpose, the counter vortex aerator created at the National Research Moscow State University of Civil Engineering is used. The principle of its operation is based on the interaction of two oppositely rotating flows of water, which makes it possible to form a two-phase gas-liquid jet. For the mathematical modeling of the aerated jet propagation process, the method of integral relations, based on the balance of mass, momentum, and interfacial interaction forces is used. The resulting system of ordinary differential equations is integrated numerically by the Runge-Kutta method of the fourth order of accuracy. The principal kinematic characteristics of the jet flow and the optimal operating conditions of the counter vortex aerator are determined. A comparison of the numerical results with experimental data obtained on a hydraulic device is carried out. Generalized dependencies for the engineering calculation of the depth of development in the water body are presented.