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

On the evolution of a multicomponent droplet during nonisothermal diffusion growth or evaporation

“…(6a): (19) Hereafter, the droplet composition, which is deter mined by the set of concentrations is denoted as Accordingly, for enthalpy H d of the multicom ponent droplet, we have the following relation: (20) where is the partial enthalpy of an ith com ponent in the solution of the droplet. For the case under consideration, the constant enthalpy condition inside the sphere with radius is written as…”

“…These effects include the influence of nonsta tionary diffusion and thermal conductivity in a multi component vapor-gas medium, thermodiffusion and other cross effects [19], Stefan flux and motion of a droplet surface, and the nonideality of a solution in a droplet. Previously, these effects were partly consid ered in the analytical form for nonstationary isother mal evolution of one component and binary droplets [20][21][22][23][24][25], the stationary nonisothermal growth of a binary droplet of an ideal solution [26], and the non stationary nonisothermal growth or evaporation of a binary droplet of an ideal solution [27]. The goal of this study is to rigorously derive the most general set of equations for the size, composition, and temperature of a multicomponent nonideal solution droplet upon its diffusion nonisothermal condensation or evapora tion in a multicomponent mixture of vapors with a noncondensable carrier gas.…”

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

“…In case when both inequalities (20) and (21) are violated, equation on the steady-state composition can be obtained numerically from Eqs. (27), (19) and (30) or (31).…”

“…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.…”

A self-similar regime of droplet growth with allowance for the Stefan flux and dependence of diffusion coefficient on vapor-gas medium composition

“…Various effects of non stationary growth of single and multicomponent droplets and bubbles were studied in [7][8][9][10][11][12][13][14][15][16]. In this study, we will focus on description of the nonstationary diffusion growth of a substantially supercritical droplet (i.e., a droplet for which the saturation vapor pressure can be taken equal to the pressure over a planar surface of the liquid) in a vapor-gas medium with allowance for the Stefan flux of the vapor-gas medium toward the condensing droplet, the motion of the surface of the growing droplet, and the concentration depen dence of the diffusion coefficient of the condensing vapor in the medium.…”