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Stationary convectiveows of two immiscible viscous incompressibleuids (liquid and gas) under action of the transverse gravityeld and longitudinal temperature gradient along the interface are studied ana- lytically. Mathematical model of theuidows with the effects of evaporation at the interface is based on exact solutions to the Navier-Stokes equations in the Oberbeck-Boussin esq approximation. The effects of the thermodiffusion and diffusive heat conductivity in the gas-vapor layer are taken into consideration. The obtained solutions are used to model theows in the two-layer gas-liquid system in the case when a liquid exhibits the anomalous thermocapillary effect. Examples of the two-layeruidows are presented for various values of the gasow rate, longitudinal temperature gradient at the interface and the gravity force acceleration.

Modeling of Two-layer Fluid Flows with Evaporation at the Interface in the Presence of the Anomalous Thermocapillary Effect