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SIMULATION OF INTERPHASE HEAT TRANSFER DURING BULK CONDENSATION IN THE FLOW OF VAPOR-GAS MIXTURE

DOI: 10.1615/ICHMT.2012.CHT-12.610
pages 993-1009

Naum Moiseevich Kortsenshteyn
G.M. Krzhizhanovsky Power Engineering Institute, 119071 Moscow, Leninsky Prospekt, 19, Russia

Arseniy K. Yastrebov
National Research University “MPEI”, Moscow, Russia

Abstract

A solution is presented for the problem of growth of a single droplet and the heat transfer between it and a vapor - gas mixture. The proposed algorithm can be used for an arbitrary regime of the droplets growth but in this paper we consider only the free molecular one. The effect of interphase heat transfer on the dynamics of the macroparameters and the droplet size distribution function was studied for bulk condensation during the flow of the vapor - gas mixture in a nozzle with the use of the results obtained. We compared results obtained for general formulation and for certain simplifying assumptions on the droplets' temperature for different concentrations in a non-condensable gas. The kinetic equation for the droplet size distribution function was used for the mathematical description of the bulk condensation process and our method of direct numerical solution was used in order to solve this equation. The solution of the condensation problem was obtained by taking into account the decrease of the nucleation rate due to the heating of the droplets. As a result, taking into account the finite rate of interphase heat transfer can result in noticeable quantitative changes in the distribution function and the integral characteristics in comparison with the data obtained using the limiting values of droplets' temperature. It was shown that possibility of use of simplifying assumptions depends on gas concentration. The accuracy of the one-temperature model increases with the dilution of vapor by a non-condensing gas. Otherwise, the use of the assumption about the equality of the droplet temperature and the saturation temperature is justified, first of all, for the description of the condensation process in a pure vapor. The decrease of nucleation rate due to heat release on the surface of the droplets has a stronger effect on the kinetics of the bulk condensation at a low partial pressure of the non-condensing gas, i.e. at the low intensity of interphase heat transfer.

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