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Mathematical Models of Friction on the Surface of Phase Separation and Heat and Mass Transfer in Film Units of Cooling-Tower Sprinklers with Intensifiers

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Abstract

The scientific and technical problem of calculating the transfer of momentum, heat and mass of water vapor in cooling towers has been solved theoretically using a turbulent boundary layer model in the gas phase for irrigated packing blocks. A dissipative mathematical model for determining the average tangential friction stress at the gas–liquid interface in film contact devices (sprinkler blocks) with intensifiers is considered. On the basis of the average rate of dissipation of the energy of the gas flow in the sprinkler blocks with a given law of damping of turbulent pulsations in the boundary layer, expressions are obtained for calculating the average values at the interface of the shear stress and dynamic velocity necessary to calculate the coefficients of heat and mass transfer in the gas phase. To calculate the heat and mass transfer coefficients, expressions obtained earlier by the authors are used which are associated with the hydromechanical characteristics of a turbulent boundary layer. To determine the characteristics of the boundary layer with intensifiers on contact film devices, the properties of the conservatism of the laws of friction and heat transfer to perturbations are applied. Perturbations do not change the form of the mathematical description of the transfer of momentum and heat, and perturbations are taken into account parametrically. As a result, expressions are obtained for the Nusselt and Sherwood numbers for contact devices of various designs. Numerous comparisons of the results of calculating the coefficients of heat and mass transfer for chaotic and regular packings (sprinkler blocks) with known experimental data are shown. The expressions can be used in the calculations of sprinkler film blocks using hydraulic resistance, which reduces the time and costs in the design of cooling towers.

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Funding

This study was carried out as part of the Russian Science Foundation, research project no. 18-79-101-36.

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  1. Kazan State Power Engineering University, Kazan, Russia

    A. G. Laptev & E. A. Lapteva

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  1. A. G. Laptev
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  2. E. A. Lapteva
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Correspondence to E. A. Lapteva.

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Laptev, A.G., Lapteva, E.A. Mathematical Models of Friction on the Surface of Phase Separation and Heat and Mass Transfer in Film Units of Cooling-Tower Sprinklers with Intensifiers. Theor Found Chem Eng 55, 906–913 (2021). https://doi.org/10.1134/S0040579521050250

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