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Validating the Model of a Liquid Condensate Film on the Surface of a Smooth Horizontal Cylinder for Different Vapor Flow Directions

  • HEAT AND MASS TRANSFER AND PROPERTIES OF WORKING FLUIDS AND MATERIALS
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Abstract

To increase the efficiency, reliability, and compactness of condensers designed for thermal and nuclear power industries and chemical and many other facilities employing condensers and to reduce their cost, the models of the condensation processes on smooth horizontal tubes assembled in bundles of different arrangements need to be improved. The previous publications of the authors reported the results of a study of condensation processes using a comprehensive CFD model. The key element of this model is a one-dimensional condensate film model, which was previously validated by the authors basically against the experimental data on vapor condensation from a moving gas-vapor mixture with a high content of noncondensables on a horizontal tube bundle, while the сombination and interrelation of running physical processes and the uncertainty (error) in the data for tube bundles, compared with the data for a single tube, made it more difficult to validate the above-mentioned film model in detail. The results of the validation of the previously proposed liquid film model and of a somewhat simplified version of the model against available data on the characteristics of condensation processes on the surface of a smooth horizontal tube with any direction of an external flow of saturated dry vapor are presented. The simplified liquid film model includes only a one-dimensional condensate continuity equation, the solution of which requires information on the distribution of the wall temperature along the tube perimeter and of the shear stresses over the liquid-gas interface. The tube wall temperature from the one-dimensional (in terms of the angular coordinate) heat conduction equation, and the distribution of shear stresses on the film surface was found from the solution of the boundary layer equations for a laminar flow near a cylinder, taking into account the uniform distribution of gas mass removal on its surface. To determine the film characteristics under “flooding” conditions, a new numerical upwind scheme is proposed, which considers the features of the velocity profile in the film. The proposed models were validated against experimental data for the downward flow of vapor (water and refrigerant R-113, more than 500 points) and a few data for other directions of the velocity vector of the external vapor flow.

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Funding

This investigation was funded by a grant of the Russian Science Foundation (grand no. 22-29-01457).

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Authors and Affiliations

  1. National Research University Moscow Power Engineering Institute, 111250, Moscow, Russia

    K. B. Minko, V. I. Artemov & A. A. Klement’ev

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  1. K. B. Minko
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  2. V. I. Artemov
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  3. A. A. Klement’ev
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Correspondence to K. B. Minko.

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Translated by T. Krasnoshchekova

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Minko, K.B., Artemov, V.I. & Klement’ev, A.A. Validating the Model of a Liquid Condensate Film on the Surface of a Smooth Horizontal Cylinder for Different Vapor Flow Directions. Therm. Eng. 69, 942–953 (2022). https://doi.org/10.1134/S0040601522120060

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