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Mathematical Model and Experimental Data for Water Cooling in Counterflow Film Cooling Towers

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Abstract

The article considers the research methods, mathematical simulation, and calculation of heat-and-mass-transfer characteristics of film-type fills (packings) of cooling towers. The basic research approaches include experimental, numerical, and approximate methods. It is noted that the experimental and approximate methods are the most applicable for practical purposes when calculating cooling towers. One of the approximate methods consists in the application of flow structure models, namely, diffusion or cellular models. The authors consider the application of the cellular model for the gas and liquid phases in the form of an analytical solution with the thermal number of transfer units to calculate the thermal efficiency of the gas phase (air heating) and determine further the efficiency of the cooling water based on the thermal balance equation. The main parameters of the model, namely the number of cells for the gas and liquid phases, are calculated using the presented expressions. The article presents experimental data on hydraulic resistance, the volumetric coefficient of mass transfer, and thermal efficiency in the gas and liquid phases, obtained using the experimental model of a cooling tower with a bank of tubes (fill pack) with a discrete-regular rough surface. The calculation results by the cellular model are shown to agree with the experimental data. In addition, the calculation is performed for mini cooling towers with regular fills, used in rectification and absorption columns.

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  1. Moscow State University of Environmental Engineering.

REFERENCES

  1. Sovershenstvovanie konstruktsii kontaktnykh ustroistv dlya gradiren (Improvement of the Design of Contact Devices for Cooling Towers), Pushnov, A.S. and Sakalauskas, A., Eds., S.-Peterb.: Politekh-Press, 2020.

  2. Sokol, B.A., Chernyshev, A.K., and Baranov, D.A., Nasadki massoobmennykh kolonn (Packings of Mass Transfer Columns), Moscow: InfoKhIM, 2009.

  3. Kagan, A.M., Laptev, A.G., Pushnov, A.S., and Farakhov, M.I., Kontaktnye nasadki promyshlennykh teplomassoobmennykh apparatov (Contact Nozzles of Industrial Heat and Mass Transfer Devices), Laptev, A.G., Ed., Kazan’: Otechestvo, 2013.

  4. Laptev, A.G., Farakhov, T.M., and Basharov, M.M., Modeling and modernization of industrial desulfurizing packed columns at refineries, Chem. Technol. Fuels Oils, 2016, vol. 52, no. 5, pp. 472–479. https://doi.org/10.1007/s10553-016-0732-z

    Article  CAS  Google Scholar 

  5. Skachkov, I.V., Balchukov, A.V., and Rizshov, S.O., Hydrodynamic research of gas-liquid process technology for a new regular packing, Sovrem. Tekhnol. Sist. Anal. Model., 2012, no. 3, pp. 147–150.

  6. Ramkumar, R. and Ragupathy, A., Optimization of cooling tower performance with different types of packings using Taguchi approach, J. Braz. Soc. Mech. Sci. Eng., 2015, vol. 37, no. 3, 929–936. https://doi.org/10.1007/s40430-014-0216-1

    Article  CAS  Google Scholar 

  7. Rahmati, M., Alavi, S.R., and Tavakoli, M.R., Experimental investigation on performance enhancement of forced draft wet cooling towers with special emphasis on the role of stage numbers, Energy Convers. Manage., 2016, vol. 126, pp. 971–981. https://doi.org/10.1016/j.enconman.2016.08.059126

    Article  Google Scholar 

  8. Raj, G., Chandra, P., and Pathak, P.K., Comparative analysis of two different types of fills used in wet cooling tower for higher-scale water with conventional film type fill, Heat Transfer, 2019, vol. 48, no. 8, pp. 4000–4015. https://doi.org/10.1002/htj.21579

    Article  Google Scholar 

  9. Naik, B.K. and Muthukumar, P., A novel approach for performance assessment of mechanical draft wet cooling towers, Appl. Therm. Eng., 2017, vol. 121, pp. 14–26. https://doi.org/10.1016/j.applthermaleng.2017.04.042

    Article  Google Scholar 

  10. Boyadjiev, Chr.B., Dzhonova, D.B., Popova-Krumova, P.G., Stefanova, K.V., Pavlenko, A.N., Zhukov, V.E., and Slesareva, E.Yu., Liquid wall flow in counter-current column apparatuses for absorption processes with random packings, Bulg. Chem. Commun., 2020, vol. 52, no. F, pp. 74–79. https://doi.org/10.34049/bcc.52.F.0013

  11. Cioncolini, A. and Thome, J.R., Pressure drop prediction in annular two-phase flow in macroscale tubes and channels, Int. J. Multiphase Flow, 2017, vol. 89, pp. 321–330. https://doi.org/10.1016/j.ijmultiphaseflow.2016.11.003

    Article  CAS  Google Scholar 

  12. Wang, L., Wang, S., and Lu, Z., Studies on the model of heat transfer and influencing factors for crossflow cooling towers, Zh. Tepl. Nauk Tekhnol., 2015, vol. 14, pp. 278–282.

    Google Scholar 

  13. Vitkovskaya, R.F., Pushnov, A.S., and Shinkunas, S., Aerogidrodinamika i teplomassoobmen nasadochnykh apparatov (Aerohydrodynamics and Heat and Mass Transfer of Packed Apparatus), S.-Peterb.: Lan’-Press, 2019.

  14. Lapteva, E.A., Stolyarova, E.Yu., and Laptev, A.G., Numerical estimation of the heat and mass transfer efficiency considering nonuniformity in water and air distribution, Teploenergetika, 2020, no. 4, pp. 52–59. https://doi.org/10.1134/S0040363620040037

  15. Dmitriev, A.V., Madyshev, I.N., Kharkov, V.V., Dmitrieva, O.S., and Zinurov, V.E., Experimental investigation of fill pack impact on thermal-hydraulic performance of evaporative cooling tower, Therm. Sci. Eng. Prog., 2021, vol. 22, article no. 100835. https://doi.org/10.1016/j.tsep.2020.100835

    Article  Google Scholar 

  16. Fedyaev, V.L., Snigerev, B.A., Morenko, I.V., Gaynullin, R.F., and Gaynullina, R.F., About modernization of cooling towers SK-1200, Izv. Vyssh. Uchebn. Zaved. Probl. Energ., 2009, nos. 5–6, pp. 42–51.

  17. Ramkrishnan, R. and Arumugam, R., Experimental study of cooling tower performance using ceramic tile packing, Process. Appl. Ceram., 2013, vol. 7, no. 1, pp. 21–27. https://doi.org/10.2298/PAC1301021R

    Article  CAS  Google Scholar 

  18. Laptev, A.G. and Lapteva, E.A., Mathematical model and thermohydraulic characteristics of packed scrubbers of condensation cooling of a gas, J. Eng. Phys. Thermophys., 2022, vol. 95, no. 1, pp. 257–265. https://doi.org/10.1007/s10891-022-02473-3

    Article  CAS  Google Scholar 

  19. Ramm, V.M., Absorbtsiya gazov (Gas Absorption), Moscow: Khimiya, 1976.

  20. Ponomarenko, V.S. and Aref’ev, Yu.I., Gradirni promyshlennykh I energeticheskikh predpriyatikh (Cooling Towers for Industrial and Energy Enterprises). Moscow: Energoatomizdat, 1998.

  21. Kafarov, V.V., Vinarov, A.Yu., and Gordeev, L.S., Modelirovanie i sistemnyi analiz biokhimicheskikh proizvodstv (Modeling and System Analysis of Biochemical Industries), Moscow: Lesn. Prom-st., 1985.

  22. Laptev, A.G. and 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., 2021, vol. 55, no. 5, pp. 906–913. https://doi.org/10.1134/S0040579521050250

    Article  CAS  Google Scholar 

  23. Laptev, A.G. and Lapteva, E.A., Mathematical models and calculation of the coefficients of heat and mass transfer in the packings of mechanical-draft towers, J. Eng. Phys. Thermophys., 2017, vol. 90, no. 3, pp. 644–650. https://doi.org/10.1007/s10891-017-1611-0

    Article  CAS  Google Scholar 

  24. Laptev, A.G. and Lapteva, E.A., Determination of the coefficients of turbulent mixing in one- and two-phase media by Taylor model, Fundam. Issled., 2015, no. 2, part 13, pp. 2810–2814.

  25. Laptev, A.G. and Ved’gaeva, I.A., Ustroistvo i raschet promyshlennykh gradiren (Design and Calculation of Industrial Cooling Towers), Kazan’: KGEU, 2004.

  26. Bagomedov, M.G.-G., Pushnov, A.S., and Berengarten, M.G., Effect of packing type on hydraulic resistance of contact devices, Chem. Pet. Eng., 2019, vol. 55, no. 5, pp. 379–383. https://doi.org/10.1007/s10556-019-00634-5

    Article  Google Scholar 

  27. Bondar, K.E., Ivanov, S.P., Suleymanov, D.F., and Varisova, R.R., Increase in efficiency of mass-heat-transfer processes in small-sized devices of cooling of reverse water, Fundam. Issled., 2017, no. 9, pp. 25–29.

  28. Boev, E.V., Afanasenko, V.G., Nikolaev, E.A., and Ivanov, S.P., Improving the efficiency of heat and mass transfer nozzles in industrial cooling towers, Gazov. Prom-st., 2010, no. 7, pp. 85–88.

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Funding

The research has been carried out in the framework of scientific project of the Russian Science Foundation no. 21-79-10406.

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Correspondence to E. A. Lapteva.

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Lapteva, E.A., Laptev, A.G. Mathematical Model and Experimental Data for Water Cooling in Counterflow Film Cooling Towers. Theor Found Chem Eng 57, 469–477 (2023). https://doi.org/10.1134/S004057952304036X

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