Skip to main content
Log in

Numerical Simulation of Steam Condensation in a Steam-Gas Mixture Flow in a Variable-Section Channel with a Bundle of Smooth Horizontal Tubes

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

Abstract

In this paper, the results from calculations of heat and mass transfer in a variable-cross-section channel with a bundle of smooth horizontal tubes, on the surface of which steam from a moving steam-gas mixture (SGM) condenses, are presented. The decrease in the channel’s cross section and, accordingly, the number of tubes in the vertical rows along the SGM movement provides the mixture with approximately constant velocity as the steam condenses. The mathematical model used in this study is described in detail in our previous publications. The two-dimensional equations of single-phase hydrodynamics, energy, and diffusion are solved for the external SGM flow. The condensation process is modeled at the level of the boundary conditions on the tube surface, taking into account a moving laminar condensate film. The heat transfer through the tube wall from the film to the cooling water is described using a one-dimensional model of the wall. To account for the irrigation of the bundle’s lower tubes with condensate formed on the upper tubes (inundation effect), a simplified model is used. The data on the velocity fields and impurity concentration in the condenser and the heat transfer characteristics are presented. The calculation results of the heat transfer coefficients on the tubes of the first vertical row of the bundle and the heat transfer coefficients for individual sections of the simulated condenser containing several tube rows at a 0–8.5% volume fraction of air in the SGM at the inlet to the apparatus are compared with experimental data. A quite satisfactory agreement between the calculated and experimental data is obtained, which confirms the efficiency of the used model. The calculated data on the local velocity fields and the composition of the steam-air mixture indicate a significant heterogeneity of these characteristics. This complicates the development of relatively simple engineering methods for calculating the heat load of condensers at high air concentrations. The calculations were performed using in-house CFD-code ANES.

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

Access this article

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.

Similar content being viewed by others

REFERENCES

  1. A. V. Klimenko, O. O. Mil’man, and B. A. Shifrin, “A high-temperature gas-and-steam turbine plant operating on combined fuel,” Therm. Eng 62, 807–816 (2015). https://doi.org/10.1134/S0040601515110026

    Article  Google Scholar 

  2. A. S. Sedlov, A. P. Solodov, and D. Yu. Bukhonov, “Obtaining condensate from flue gases at the experimental plant PJSC GRES-24,” Energosberezhenie Vodopodgot., No. 5, 76–77 (2006).

  3. V. A. Fedorov and O. O. Mil’man, Condensators of Steam Turbine Units (Mosk. Gos. Tekh. Univ. Im. N. E. Baumana, Moscow, 2013) [in Russian].

  4. G. G. Shklover and O. O. Mil’man, Study and Calculation of Condensation Devices of Steam Turbines (Energoatomizdat, Moscow, 1985) [in Russian].

    Google Scholar 

  5. G. F. Hewitt and J. Barbosa, Heat Exchanger Design Handbook (Begell Nouse, New York, 2008).

    Google Scholar 

  6. L. D. Berman and S. N. Fuks, “The effect of air admixture on heat transfer during condensation of moving steam,” Izv. VTI, No. 11, 11–18 (1952).

    Google Scholar 

  7. L. D. Berman and S. N. Fuks, “Mass transfer in condensators with horizontal tubes with air-containing steam,” Teploenergetika., No. 8, 66–74 (1958).

  8. I. I. Gogonin, Investigation of Heat Transfer during Film Vapor Condensation (Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 2015) [in Russian].

    Google Scholar 

  9. A. Cavallini, G. Censi, D. Del Col, L. Dorett, G. A. Longo, L. Rossetto, and C. Zilio, “Condensation inside and outside smooth and enhanced tubes — A review of recent research,” Int. J. Refrig. 26, 373–392 (2003). https://doi.org/10.1016/S0140-7007(02)00150-0

    Article  Google Scholar 

  10. M. W. Browne and P. K. Bansal, “An overview of condensation heat transfer on horizontal tube bundles,” Appl. Therm. Eng. 19, 565–594 (1999). https://doi.org/10.1016/S1359-4311(98)00055-6

    Article  Google Scholar 

  11. C. Bonneau, C. Josset, V. Melot, and B. Auvity, “Comprehensive review of pure vapour condensation outside of horizontal smooth tubes,” Nucl. Eng. Des. 349, 92–108 (2019). https://doi.org/10.1016/j.nucengdes.2019.04.005

    Article  Google Scholar 

  12. A. Briggs and S. Sabaratnam, “Condensation of steam in the presence of air on a single tube and a tube bank,” Int. J. Energy Res. 27, 301–314 (2003). https://doi.org/10.1002/er.876

    Article  Google Scholar 

  13. N. V. Kiryukhina and L. N. Serezhkin, “Review of experimental and theoretical studies of heat and mass transfer processes during condensation of steam from a steam-gas mixture with non-condensing admixtures,” Vestn. Kaluzh. Univ., No. 2, 62–67 (2018).

  14. O. O. Mil’man, V. S. Krylov, A. V. Ptakhin, A. V. Kondrat’ev, and G. G. Yan’kov, “High-efficiency condenser of steam from a steam–gas mixture,” Therm. Eng. 64, 874–883 (2017). https://doi.org/10.1134/S0040601517120072

    Article  Google Scholar 

  15. C. Zhang, “Local and overall condensation heat transfer behavior in horizontal tube bundles,” Heat Transfer Eng. 17, 9–30 (1996). https://doi.org/10.1080/01457639608939865

    Article  Google Scholar 

  16. P. Mirzabeygi and C. Zhang, “Three-dimensional numerical model for the two-phase flow and heat transfer in condensers,” Int. J. Heat Mass Transfer. 81, 618–637 (2015). https://doi.org/10.1016/j.ijheatmasstransfer.2014.10.015

    Article  Google Scholar 

  17. K. B. Minko, V. I. Artemov, G. G. Yankov, and O. O. Milman, “A mathematical model of forced convection condensation of steam on smooth horizontal tubes and tube bundles in the presence of noncondensables,” Int. J. Heat Mass Transfer. 140, 41–50 (2019). https://doi.org/10.1016/j.ijheatmasstransfer.2019.05.099

    Article  Google Scholar 

  18. K. B. Minko, V. I. Artemov, G. G. Yan’kov, and V. S. Krylov, “Verification of the mathematical model of film condensation of steam from moving steam-air mixture on a bundle of smooth horizontal tubes,” Therm. Eng. 66 (11), 804–811 (2019).

    Article  Google Scholar 

  19. T. Murase, H. S. Wang, and J. W. Rose, “Effect of inundation for condensation of steam on smooth and enhanced condenser tubes,” Int. J. Heat Mass Transfer. 49, 3180–3189 (2006). https://doi.org/10.1016/j.ijheatmasstransfer.2006.02.003

    Article  Google Scholar 

  20. C. R. Wilke, “A viscosity equation for gas mixtures,” J. Chem. Phys. 18, 517–519 (1950). https://doi.org/10.1063/1.1747673

    Article  Google Scholar 

  21. E. A. Mason and S. C. Saxena, “Approximate formula for the thermal conductivity of gas mixtures,” Phys. Fluids. 1, 361–369 (1958). https://doi.org/10.1063/1.1724352

    Article  MathSciNet  Google Scholar 

  22. N. B. Vargaftik, Handbook of Physical Properties of Liquids and Gases: Pure Substances and Mixtures (Nauka, Moscow, 2014; Springer-Verlag, Berlin, 2014).

  23. S. S. Aktershev, Stability, Nonlinear Waves and Transport Processes in Liquid Films under Difficult Conditions, Doctoral Dissertation in Technical Sciences (Novosibirsk, 2016).

  24. ANES Code. http://anes.ch12655.tmweb.ru/. Accessed June 3, 2019.

  25. B. S. Petukhov and V. V. Kirillov, “On the question of heat transfer under turbulent liquid flow in tubes,” Teploenergetika, No. 4, 63–65 (1958).

    Google Scholar 

  26. M. Jakob, Heat Transfer (John Wiley & Sons, 1949).

    Google Scholar 

  27. D. Q. Kern, Process Heat Transfer (McGraw-Hill, New York, 1950), p. 266.

    Google Scholar 

  28. D. Q. Kern, “Mathematical development of loading in horizontal condensers,” J. Am. Inst. Chem. Eng. 4, 157–160 (1958). https://doi.org/10.1002/aic.690040208

    Article  Google Scholar 

  29. M. Belghazi, A. Bontemps, J. C. Signe, and C. Marvillet, “Condensation heat transfer of a pure fluid and binary mixture outside a bundle of smooth horizontal tubes. Comparison of experimental results and a classical model,” Int. J. Refrig. 24, 841–855 (2001). https://doi.org/10.1016/S0140-7007(00)00037-2

    Article  Google Scholar 

  30. D. M. Eissenberg, An Investigation of the Variables Affecting Steam Condensation on the Outside of a Horizontal Tube Bundle, PhD thesis (Univ. of Tennessee, Knoxville, TN, 1972).

Download references

Funding

The work was supported by the Russian Science Foundation, project no. 17-19-01604.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. B. Minko.

Additional information

Translated by A. Ivanov

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Minko, K.B., Artemov, V.I., Yan’kov, G.G. et al. Numerical Simulation of Steam Condensation in a Steam-Gas Mixture Flow in a Variable-Section Channel with a Bundle of Smooth Horizontal Tubes. Therm. Eng. 66, 928–935 (2019). https://doi.org/10.1134/S0040601519120061

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0040601519120061

Keywords:

Navigation