Stability of two-layer fluid flow


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详细

The problem of two-layer convective flow of viscous incompressible fluids in a horizontal channel with solid walls in the presence of evaporation is considered in the Oberbeck–Boussinesq approximation assuming that the interface is an undeformable thermocapillary surface and taking into account the Dufour effect in the upper layer which is a mixture of gas and liquid vapor. The effects of longitudinal temperature gradients at the boundaries of the channel and the thicknesses of the layer on the flow pattern and the evaporation rate are studied under conditions of specified gas flow and the absence of vapor flow on the upper boundary of the channel. It is shown that the long-wavelength asymptotics for the decrement is determined from the flow characteristics, the longwavelength perturbations occurring in the system decay monotonically, and the thermal instability mechanism is not potentially the most dangerous.

作者简介

A. Rodionova

Institute of Mathematics and Fundamental Informatics

编辑信件的主要联系方式.
Email: alevaro@mail.ru
俄罗斯联邦, Krasnoyarsk, 660041

E. Rezanova

Altai State University; Kutateladze Institute of Thermophysics, Siberian Branch

Email: alevaro@mail.ru
俄罗斯联邦, Barnaul, 656049; Novosibirsk, 630090

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