Nonstationary vapor concentration fields near the growing droplet of binary solution

The laws of establishing stationary composition in a droplet condensing in a binary vapor–gas environment

“…The isothermal droplet growth runs in the diffusion-controlled regime if the strong inequality R/λ 1 is valid, where λ is the free path length of vapor molecules in the carrier gas. The corresponding Maxwell equations for numbers n 1 and n 2 of molecules of the condensing components in a droplet have the form [7] (even in the case of a self-similar scaling solution of the binary condensation [9,10])…”

“…These goals have not previously been accomplished; however, the significance of this problem has recently been brought up in Refs. [9,10], where a new self-similar scaling solution of non-stationary binary condensation onto a single supercritical droplet was found. The approach developed in Refs.…”

“…The approach developed in Refs. [9,10] assumes the presence of a constant composition of a solution in a growing droplet, and the questions arise of what are the conditions of establishing this composition and how fast it occurs.…”

Steady-state composition of a two-component gas bubble growing in a liquid solution: Self-similar approach

“…[16] , we can write self-similar solutions for diffusion problems, as it was previously done for the one-component case [12,21]. It has to be noted that after the pioneering works by Zener [22] and Frank [23], who used self-similar method for the description of diffusional crystal growth in the supersaturated solution, this method was exploited repeatedly by various authors for droplet growth in supersaturated vapor-gas medium [18,20,24] and for bubble growth in superheated and supersaturated solutions [8][9][10][11][12]21].…”

“…The diffusional growth of a two-component bubble is similar to the growth of a twocomponent liquid droplet in a supersaturated vapor-gas mixture [17][18][19]. Nevertheless, there is a significant difference between these two processes.…”