The mathematical and physical modeling of the heat exchange of an air stream with a horizontal surface of a film-coated liquid, which is widely used in heat engineering to intensify heat and mass transfer processes, is considered. Mathematical modeling of the flow of a liquid film under the action of shear forces of an incoming air stream is based on a system of shallow water equations. Physical modeling was carried out on the developed experimental setup using the shadow method with simultaneous measurement of temperature and humidity differences above the heat exchange surface. The formation of a wave flow of a thin film of liquid on a horizontal surface during a transient mode of air flow is shown. There is an intensification of heat exchange, which is 15–20% higher than in the laminar regime. The dependence for determining the heat transfer coefficient of a thin liquid film on a horizontal plate under the action of shear forces from an air flow is obtained. A spectrum of longitudinal wave profiles and its amplitudes is obtained for the first and second harmonics of the flow, which affect the average thermal conductivity of a thin condensate film on a horizontal surface. The study was performed within the framework of the Southwestern State University development program of the Priority 2030 project and state task No. 075-03-2025-526.