Numeric simulation of the pervaporation process is carried out using molecular dynamics. Various conditions of the separation of an ideal binary Lennard-Jones mixture using a crystalline membrane are considered. Components of separated mixtures differ in regards to the energy of interaction with molecules of the membrane. As a result of simulation, fields of concentrations and densities along the cell, as well as flux values of components, are obtained. In addition, coefficients of the diffusion of components in the membrane are computed. It is shown that the correspondence of numeric simulation data to macroscopic mass transfer equations are observed in all cases. It can be concluded that the behavior of molecules in a nonequilibrium system with a scale of several dozens of molecule diameters corresponds to transfer equations of linear nonequilibrium thermodynamics. Results of numeric simulation show the selectivity of a membrane in regard to the component with a larger interaction energy. It is shown that molecular simulation is able to predict the main characteristics of membrane separation (fluxes, selectivity, adsorption, and diffusion coefficients).
A conjugate solution has been obtained for ascending cocurrent turbulent gas flow and laminar liquid wavy film flow in an inclined flat channel without drop entrainment. The waves have been represented as surface roughness features. Experimental studies have been conducted for air-water, air-diethylene glycol, and air-aqueous sucrose systems, and the results have been compared with the calculated data.
Получено сопряженное решение для газового турбулентного потока и жидкой ламинарной волновой пленки при восходящем прямотоке без брызгоуноса в плоском наклонном канале. Использована модель представления волн как шероховатостей. Проведены экспериментальные исследования и сопоставление с ними результатов расчетов для систем воздухвода, воздухдиэтиленгликоль, воздухводный раствор сахарозы.
A model of interaction of a gas stream with a film of fluid moving in the laminar wave regime based on representation of waves as roughness is proposed. It allows calculating hydraulic resistance of a pipe, average thickness of a film, shear stress on the boundary separating phases, velocity field and a number of other characteristics. Adequacy of the model is demonstrated by comparison with open literature experimental data in a vertical pipe.