A simplified and a numerical mathematical models of gas cooling and water heating in a thin turbulent bubbling layer on a tray with cross-phase flow are presented. The thermal efficiency of gas cooling is found using the ideal displacement model, and the temperature profile in the liquid phase is found from the solution of a cell model or a two-dimensional differential equation of convective heat exchange with an interfacial heat source. Examples of calculating the efficiency of water cooling of gas with different humidity on sieve and valve trays are given. The results of calculations of the thermal efficiency of gas cooling depending on the height of the gas–liquid layer, as well as on the gas velocity in the column are compared with known experimental data. Conclusions are drawn about the adequacy of the mathematical model and of the developed algorithm for calculating the heat and mass transfer characteristics of the bubbling layer. Comparative characteristics of the thermal efficiency of sieve and valve trays are given depending on the gas velocity and different heights of the liquid column. The influence of the variable mass of valves along the length of the tray on the increase in thermal efficiency is shown. Conclusions are drawn on the most efficient designs and modes of operation of bubbling trays.
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References
V. V. Bespalov, L. A. Belyaev, and L. S. Kuchman, Simulation of surface-type condensing units for heat recovery from the flue gas with air heating, MATEC Web Conf., No. 91, Article ID 01003 (2017).
N. A. Voinov, N. V. Deryagina, D. A. Zemtsov, A. V. Bogatkova, and O. P. Zhukova, Intensification of heat removal in diabatic columns, in: J. Phys.: Conf. Ser., Krasnoyarsk, Russian Federation (2020), P. 52080.
C. H. R. B. Boyadjiev, D. B. Dzhonova, P. G. Popova-Krumova, K. V. Stefanova, A. N. Pavlenko, V. E. Zhukov, and E. Yu. Slesareva, Liquid wall flow in counter-current column apparatuses for absorption processes with random packings, Bulg. Chem. Commun., 52, 74–79 (2020).
L. P. Kholpanov and V. Ya. Shkadov, Hydrodynamics and Heat and Mass Exchange with the Interface [in Russian], Nauka, Moscow (1990).
A. G. Laptev, M. M. Basharov, and E. A. Lapteva, Mathematical Models and Methods for Calculating Heat and Mass Exchange and Separation Processes in Two-Phase Media [in Russian], KGÉU, Kazan′; TNT, Staryi Oskol (2021).
Yu. A. Komissarov, L. S. Gordeev, and D. P. Vent, Processes and Apparatuses of Chemical Technology, Textbook for Universities [in Russian], Khimiya, Moscow (2011).
É. Ya. Tarat, Foam Mode and Foam Apparatuses, Monograph [in Russian], Khimiya, Leningrad (1977).
I. A. Aleksandrov, Mass Transfer during Rectification and Absorption of Multicomponent Mixtures [in Russian], Khimiya, Leningrad (1975).
A. G. Laptev and E. A. Lapteva, Determination of heat and mass transfer efficiency on a bubbling plate with account for scale transition, J. Eng. Phys. Thermophys., 88, No. 4, 806–814 (2015).
A. M. Rozen, E. N. Martyushin, V. M. Olevskii, et al., Large-Scale Transition in Chemical Technology: Development of Industrial Apparatuses by the Method of Hydrodynamic Modeling, Monograph [in Russian], Khimiya, Moscow (1980).
A. E. Kostanyan and V. V. Belova, On a large-scale transition in chemical technology, Khim. Tekhnol., No. 3, 118–122 (2016).
S. G. Dyakonov, V. I. Elizarov, and A. G. Laptev, Modelling of heat-and-mass transfer in industrial facilities on the basis of laboratory dummy study, Teor. Osnovy Khim. Tekhnol., 7, No. 1, 8–50 (1993).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 96, No. 5, pp. 1332–1340September–October, 2023,
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Laptev, A.G., Lapteva, E.A. Gas Condensation Cooling and Liquid Heating Efficiency in a Turbulent Bubbling Layer on a Tray. J Eng Phys Thermophy 96, 1320–1328 (2023). https://doi.org/10.1007/s10891-023-02798-7
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DOI: https://doi.org/10.1007/s10891-023-02798-7