A simplified nonlinear model of the Marangoni instability in gas absorption

TLDR: In this article, the authors investigated the process of gas absorption into initially motionless liquid layer and the critical time of transition to unstable convective regime, as well as the intensity of mass transfer in a surface convection are estimated numerically.

Abstract: The process of gas absorption into initially motionless liquid layer is investigated. The convective instability caused by the temperature dependence of the surface tension. The critical time of transition of the process to unstable convective regime, as well as the intensity of mass transfer in a surface convection are estimated numerically. The mathematical model includes the equations of convective diffusion, thermal conduction and fluid motion. The problem was solved numerically in the two-dimensional formulation. In the coordinate along the interface the concentration of the absorbed substance is represented by three terms of the trigonometric Fourier series. A difference approximation of equations with an exponentially changing grid in the direction normal to the interface is used. The simulations results agree with the well-known experimental data on the absorption of carbon dioxide in water.