THE PURPOSE. Consider and solve the problem of determining the heat and mass exchange efficiency and design characteristics of bubble strainer plates during liquid phase cooling and gas heating. Simulate the process of contact evaporative cooling of water with air in turbulent bubble layer under foam mode.METHODS. The approach is used using heat and mass exchange numbers of transfer units, where coefficients of heat and mass transfer are calculated by criteria expressions or mathematical model. A differential equation for heat exchange in the liquid phase with an inter-phase heat source and a balance equation is written.RESULTS. There are known assumptions about the ideal displacement of the gas phase by the height of the gas-liquid layer. The article considers specific cases of recording of heat exchange equation in the form of cell model of liquid phase flow structure. The algorithm of determination of thermodynamic parameters at cooling water by air with calculation of profiles of water and air temperatures along the length of strained plate is given. Examples of calculation of temperature of cooled water and heated air with different flow structure and comparison with the similar process on the cooling tower model with regular mesh nozzle are shown. The conclusions about the effectiveness of bubble and nozzle devices are made. The presented mathematical model and calculation algorithm can be used in the design or modernization of barbotage devices in various industries and energy.