应用Frumkin吸附模型求解液滴的运动

Velocity of a Liquid Drip with Frumkin Sorption Controlled

前人的研究工作大多采用线性吸附模型，没有考虑液滴与表面活性剂之间单饱和与非理想的相互影响。本文采用的非线性Ｆｒｕｍｋｉｎ吸附模型考虑了这些相互作用。与Ｌａｎｇｍｕｉｒ非线性吸附模型相比较，Ｆｒｕｍｋｉｎ吸附模型进一步考虑了在表面饱和情况下，吸附或解吸时表面活性剂之间非理想作用。本文用数值解讨论了这些作用，此作用改变了吸附量、表面张力的灵敏性和吸附－解吸变换的动力。随着粘性比κ的增加，液滴速度增大。液滴的速度大于气泡迁移速度。

Most prior research used a linear adsorption model which cannot consider monolayer saturation and non ideal surfactant interactions. In this paper, these non ideal interactions have been captured with a non linear Frumkin adsorption framework. Comparing with the Langmuir model, the Framkin model accounts these non ideal interactions for surface saturation and for repulsion or cohesion between adsorbed surfactant molecules. This paper discusses these interactions which alter the amount of adsorbed surfactant, the sensitivity of the surface tension, and the dynamics of adsorptive desorptive exchange. As the viscosity ratio κ increases, the terminal velocity increases. The velocity of liquid drip is higher than the velocity of the gas bubble.