Application of the Three-Dimensional Ostroumov-Birikh Solution Analog to Describe Thermocapillary Flows in the Presence of Evaporation
O. N. Goncharova1,2
1Altai State University, Barnaul, Russia
2Institute of Computational Modelling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russia
Keywords: two-layer system, thermocapillary surface, evaporation, mathematical model, exact solution, numerical simulation
Abstract
This paper describes a study based on a three-dimensional Ostroumov-Birikha solution and pertaining to two-layer flows of liquid and gas-vapor mixture with account for diffusion-type evaporation on a thermocapillary interface. The results of analytical and numerical simulation of convective flows in a channel with solid impermeable walls arising under different temperature conditions are presented. The values of the mass evaporation rate and thermocapillary stresses calculated on the basis of the exact solution and obtained experimentally are compared.
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