We analyze different statements of the boundary value problem for the convection equations in order to use Ostroumov–Birikh type exact solutions for describing the evaporative convection regimes in two-layer systems of liquids and gas–vapor mixtures filling a plane channel. The statements differ in the types of boundary conditions for the vapor concentration and temperature functions on the channel walls. We discuss the boundary value problems modeling two-layer flows in the channel, describe the characteristics of hydrodynamic, thermal, and concentration fields for the working HFE7100-nitrogen system and classify the types of flows by distinguishing three classes: purely thermocapillary, mixed, and Poiseuille type flows.
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Goncharova, O.N., Bekezhanova, V.B. Comparative Characteristics of Evaporative Convection Regimes in Different Statements of Boundary Value Problem for Convection Equations. J Math Sci 267, 444–456 (2022). https://doi.org/10.1007/s10958-022-06149-4
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DOI: https://doi.org/10.1007/s10958-022-06149-4