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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2024 Volume 65, Issue 5, Pages 85–94 (Mi pmtf9281)

Application of the three-dimensional Ostroumov–Birikh solution analog to describe thermocapillary flows in the presence of evaporation

O. N. Goncharovaab

a Altai State University, Barnaul
b Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk

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.

Keywords: two-layer system, thermocapillary surface, evaporation, mathematical model, exact solution, numerical simulation.

UDC: 532.5.032

Received: 01.04.2024
Revised: 01.04.2024
Accepted: 27.04.2024

DOI: 10.15372/PMTF202415482


 English version:
Journal of Applied Mechanics and Technical Physics, 2024, 65:5, 866–874


© Steklov Math. Inst. of RAS, 2025