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Abstract
The moments method of Grad is applied to the problem of condensation-evaporation of a spherical droplet immersed in its pure vapor. The vapor molecules are assumed to be interacting with the particle as hard spheres. Using the thirteen-moments method and linearization in the solution of the Boltzmann equation, an analytical expression for the rate of condensation-evaporation in the stationary state is derived. Temperature and density profiles of the vapor are obtained as functions of: distance from the center of the droplet, Knudsen number, accommodation coefficient, saturation number density of the vapor, and assumed temperature of the droplet surface. The results are supposed to be applicable in the case when the system is not very far from equilibrium.
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