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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2017 Volume 20, Number 2, Pages 83–92 (Mi sjim961)

This article is cited in 8 papers

Influence of the thermal load on the characteristics of a flow with evaporation

E. V. Rezanovaab, I. A. Sheferc

a Kutateladze Institute of Thermophysics SB RAS, Acad. Lavrentyev ave., 1, 630090 Novosibirsk
b Altai State University, Lenin ave., 61, 656049 Barnaul
c Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny ave., 79, 660041 Krasnoyarsk

Abstract: We study two-layer flows of liquid and gas in a horizontal channel under given gas flow rate. Evaporation is taken into account on the thermocapillary interface. An exact solution is constructed to Navier–Stokes equations in the Boussinesq approximation taking into account the Dufour effect in the gas-vapor layer. In the framework of the linear theory, we study the stability of the obtained solutions and the characteristics of the arising perturbations. The influence of the width of the liquid layer and the longitudinal temperature gradient on the strucuture of the principal flow and the perturbations is studied.

Keywords: exact solution, Dufour effect, thermocapillary interface, stability.

UDC: 532.5.013.4

Received: 22.03.2016

DOI: 10.17377/sibjim.2017.20.209


 English version:
Journal of Applied and Industrial Mathematics, 2017, 11:2, 274–283

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