Skip to main content
SpringerLink
Log in

Determining Hydraulic Resistance and Volumetric Heat and Mass Transfer Coefficients during Cooling of Circulating Water in a Multistage Vortex Chamber

  • HEAT AND MASS TRANSFER AND PROPERTIES OF WORKING FLUIDS AND MATERIALS
  • Published:
Thermal Engineering Aims and scope Submit manuscript

Abstract

To improve the thermal performance of evaporative cooling process and reduce hydraulic resistance, a new vortex chamber has been designed with several stages of phase contact whose distinguishing feature is the arrangement of contact zones of swirling liquid and gas flows in the annular space of the chamber. The designed vortex chamber can operate stably in a wide range of loads, both high and low loads with respect to liquid and gas phases. Process design calculations of new contact elements are based on the criterion of energy efficiency. The best way for its estimation is by the Merkel and Kirpichev method. The hydraulic resistance and thermal power of the vortex chamber are determined under various operating conditions. The obtained dependence of hydraulic resistance on the spray rate in the vortex chamber makes it possible to estimate the energy efficiency of the chamber and select the best operating conditions according to the Kirpichev criterion. Expressions for calculation of heat and mass transfer coefficients are presented. The criterion equation enables us to determine whether the efficiency of the proposed device corresponds to the design value. The volumetric mass transfer coefficients encountered in the developed vortex chamber with known type of sprinklers are compared with experimental data. The developed vortex chamber has an enhanced mass transfer coefficient at the gas-to-liquid mass flowrate ratio of G/L > 0.5. The vortex chamber cooling capacity is maximized at low mass spray rates, i.e., at low hydraulic loads with respect to the liquid phase. To increase the energy efficiency of the used contact devices, the circulating water should be cooled at low average gas flow velocities.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

Similar content being viewed by others

REFERENCES

  1. H. Chen, X.-H. Ruan, Y.-H. Peng, Y.-L. Wang, and C.-K. Yu, “Application status and prospect of spray cooling in electronics and energy conversion industries,” Sustainable Energy Technol. Assess. 52, 102181 (2022). https://doi.org/10.1016/j.seta.2022.102181

    Article  Google Scholar 

  2. N. Williamson, M. Behnia, and S. Armfield, “Comparison of a 2D axisymmetric CFD model of a natural draft wet cooling tower and a 1D model,” Int. J. Heat Mass Transfer 51, 2227–2236 (2008). https://doi.org/10.1016/j.ijheatmasstransfer.2007.11.008

    Article  Google Scholar 

  3. . Ruiz, P. Navarro, M. Hernández, M. Lucas, and A. S. Kaiser, “Thermal performance and emissions analysis of a new cooling tower prototype,” Appl. Therm. Eng. 206, 118065 (2022). 10.1016/j.applthermaleng.2022.11806

    Article  Google Scholar 

  4. R. Zhao, S. Bu, X. Zhao, L. Zhang, W. Xu, Z. Yu, J. Fang, Y. Ji, Y. Hu, and B. Bao, “Study on thermal performance of new finned heat exchange tube bundles in cooling tower,” Int. J. Therm. Sci. 168, 107064 (2021). https://doi.org/10.1016/j.ijthermalsci.2021.107064

    Article  Google Scholar 

  5. G. Liang and I. Mudawar, “Review of spray cooling — Part 1: Single-phase and nucleate boiling regimes, and critical heat flux,” Int J. Heat Mass Transfer 115, 1174–1205 (2017). https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.029

    Article  Google Scholar 

  6. J. Breitenbach, I.-V. Roisman, and C. Tropea, “From drop impact physics to spray cooling models: A critical review,” Exp. Fluids 59, 55 (2018). https://doi.org/10.1007/s00348-018-2514-3

    Article  Google Scholar 

  7. J. Lu, Z. Liu, X. Xu, and J. Liu, “Experimental study of the falling film evaporative cooling on horizontal tubes plates,” Int. J. Refrig. 138, 108–117 (2022) https://doi.org/10.1016/j.ijrefrig.2022.03.013

    Article  Google Scholar 

  8. A. M. Abed, M. A. Alghoul, M. H. Yazdi, A. N. Al-Shamani, and K. Sopian, “The role of enhancement techniques on heat and mass transfer characteristics of shell and tube spray evaporator: A detailed review,” App-l. Therm. Eng. 75, 923–940 (2015). https://doi.org/10.1016/j.applthermaleng.2014.10.020

    Article  Google Scholar 

  9. A. V. Dmitriev, I. N. Madyshev, V. V. Kharkov, O. S. Dmitrieva, and V. E. Zinurov, “Experimental investigation of fill pack impact on thermal-hydraulic performance of evaporative cooling tower,” Therm. Sci. Eng. Prog. 22, 100835 (2021). https://doi.org/10.1016/j.tsep.2020.100835

    Article  Google Scholar 

  10. I. N. Madyshev, V. V. Khar’kov, and A. N. Nikolaev, Intensification of Heat and Mass Transfer Processes in Evaporative Cooling Towers (Kazan. Nats. Issled. Tekhnol. Univ., Kazan, 2022) [in Russian].

  11. I. N. Madyshev, V. V. Khar’kov, and A. V. Dmitriev, “Contact device for heat-and-mass exchanger apparatus,” Pat. Appl. No. 2022103039, Russia (February 8, 2022).

  12. K. Ma, M. Liu, and J. Zhang, “Online optimization method of cooling water system based on the heat transfer model for cooling tower,” Energy 231, 120896 (2021). https://doi.org/10.1016/j.energy.2021.120896

    Article  Google Scholar 

  13. V. S. Ponomarenko and Yu. I. Aref’ev, Cooling Towers of Industrial and Energy Enterprises (Energoatomizdat, Moscow, 1998) [in Russian].

    Google Scholar 

  14. A. G. Laptev and I. A. Ved’gaeva, Design and Calculation of Industrial Cooling Towers (Kazan. Gos. Energ. Univ., Kazan, 2004) [in Russian].

  15. A. G. Laptev, V. A. Danilov, and I. V. Vishnyakova, “Evaluating the effectiveness of circulating water cooling in a cooling tower,” Therm. Eng. 51, 661–665 (2004).

    Google Scholar 

  16. O. S. Dmitrieva, I. N. Madyshev, and A. V. Dmitriev, “Determination of the heat and mass transfer efficiency at the contact stage of a jet-film facility,” J. Eng. Phys. Thermophys. 90, 651–656 (2017). https://doi.org/10.1007/s10891-017-1612-z

    Article  Google Scholar 

  17. D. Bergman, “Evaporative cooling towers: State-of-the-art designs and advantages of reconstruction,” Energetik, Special Issue, 15–21 (2000).

  18. J. Kloppers and D. Kröger, “A critical investigation into the heat and mass transfer analysis of counterflow wet-cooling towers,” Int. J. Heat Mass Transfer 48, 765–777 (2005). https://doi.org/10.1016/j.ijheatmasstransfer.2004.09.004

    Article  MATH  Google Scholar 

Download references

Funding

The study was financially supported by the Russian Sсience Foundation (grant no. 21-79-00001 (https://rscf. ru/project/21-79-00001/)).

Author information

Authors and Affiliations

  1. Nizhnekamsk Institute of Chemical Technology (Branch), Kazan National Research Technological University, 423578, Nizhnekamsk, Russia

    I. N. Madyshev & A. O. Mayasova

  2. Kazan National Research Technological University, 420015, Kazan, Russia

    O. S. Dmitrieva & V. V. Kharkov

Authors
  1. I. N. Madyshev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. S. Dmitrieva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Kharkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. O. Mayasova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. N. Madyshev.

Additional information

Translated by T. Krasnoshchekova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Madyshev, I.N., Dmitrieva, O.S., Kharkov, V.V. et al. Determining Hydraulic Resistance and Volumetric Heat and Mass Transfer Coefficients during Cooling of Circulating Water in a Multistage Vortex Chamber. Therm. Eng. 69, 963–970 (2022). https://doi.org/10.1134/S0040601522110039

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0040601522110039

Keywords:

Search

Navigation