Abstract
The study of evaporation and condensation should include consideration of heat and mass transfer processes inside the liquid, in the inter-phase transition domain, in the Knudsen layer, and in the outer area. Possible way to realize it is to use the conjugate approach, in which the description of these regions is carried out employing a single computational method. This method allows us to consider the condensed phase and gas as a single system and use the solution of kinetic equations throughout the region. Currently, processes in the gas phase have been studied quite well. The greatest obstacle to the use of kinetic equations in the condensed phase is the description of collisions involving multiple particles at the same time. In this paper a procedure is proposed to take the multi-particulate interactions within the condensed phase into account. Such approach is applied to the test study of the thermal conductivity problem for argon, neon, xenon, and krypton. Values of thermal conductivity coefficients for different quantities of interacting particles have been obtained. The comparison with corresponding experimental data is presented. Thus, the integral of paired collisions in the Boltzmann kinetic equation can be replaced by the proposed computational procedure. This approach provides a description of both liquid and gas at the level of the distribution function and ensures that the conditions at the interface are set correctly.
Highlights
It is well known at present that the proper investigation of nonequilibrium processes on a vapor-condensate interface can be made based on molecular kinetic theory (MKT)
An approach has been proposed to take the multiparticulate interactions within the condensed phase into account
At the first stage this approach was applied to the study of the thermal conductivity problem for argon, neon, xenon, and krypton
Summary
It is well known at present that the proper investigation of nonequilibrium processes on a vapor-condensate interface can be made based on molecular kinetic theory (MKT). In order to find this function, the Boltzmann kinetic equation (BKE) should be solved, which calls for the formulating boundary condition These conditions require the knowledge of the DF for the molecules that escape from condensed matter. According to the following research [7, 8], the correlations are maximal at M=3 and decrease rapidly with growth M due to molecular chaos Based on this fact, an approach that allows us to consider the multi-particle interaction as a set of paired collisions has been proposed [9]. An approach that allows us to consider the multi-particle interaction as a set of paired collisions has been proposed [9] This step can be considered the first approximation in the construction of a single, conjugate, end-to-end method. In this paper a version of such method is presented
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