Linear Stability Analysis of Marangoni Effect on Desorption Liquid Layer

Abstract

Stability of static liquid layer in mass transfer process accompanied by concentration-driven Marangoni effect was modeled and analyzed by utilizing the linear stability theory. The critical condition of the onset of the Marangoni convection was obtained. It is found that the liquid layer becomes more unstable with the increase of the Schmidt number, and it becomes the most volatile when the Biot number is about 0.85. The critical time to mark the onset of Marangoni convection can be predicted with the established model. The research results show that the concentration gradient is the main factor to initiate the Marangoni convection.