Numerical Simulation of Conjugate Heat Transfer in Non-regular Mode of Cooling High-Temperature Metal Cylinder by Gas–Liquid Medium in Circular Channel

  • S. S. MakarovEmail author
  • V. B. Dementiev
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The results of the numerical modeling are presented for conjugate heat transfer in the non-regular mode of cooling a high-temperature metal cylinder by a gas–liquid medium in a horizontal circular channel. The results have been obtained on the basis of the two-dimensional mathematical model of the conjugate heat transfer of an unsteady gas–liquid flow and a metal cylinder taking into account the cooling medium flow symmetry relative to the cylinder longitudinal axis. The differential equation system is solved by the control volume approach. The flow field parameters are calculated with the use of an algorithm SIMPLE. The Gauss–Seidel method with under-relaxation is used for the iterative solution of the linear algebraic equations. The calculations are performed with the help of the mesh with a convergent profile on the boundaries ‘metal cylinder-liquid’ and ‘liquid-outer metal ring’ for the liquid and metal. The system of heat-mass-transfer balance at the evaporation is controlled on the basis of the energy model of heat balance. The calculation results have been obtained for the heat transfer parameters at cooling the high-temperature metal cylinder with the laminar gas–liquid flow with consideration of evaporation in the liquid. The intensity of the variation of the conjugated substance temperature, the gas–liquid flow velocity, the vapor volume concentration in the liquid flow, and the specific mass velocity of evaporation in the liquid depending on the cooling time are analyzed.


Heat transfer Cooling Metal billet Gas–liquid medium Numerical simulation 



The work is financially supported by the RFFR Project No. 16-41-180211.


  1. 1.
    Labuntsov DA, Yagov VV (2000) Mechanics of two-phase systems. MEI Publishing, MoscowGoogle Scholar
  2. 2.
    Labeish VG (1983) Liquid cooling of high-temperature metal. LSU Publishing, LeningradGoogle Scholar
  3. 3.
    Kutateladze SS, Styrikovich MA (1976) Hydrodynamics of gas-liquid systems. Energia, MoscowGoogle Scholar
  4. 4.
    Aktershev SP, Ovchinnikov VV (2011) The boiling up model for highly superheated liquid with formation of evaporation front. Thermophys Aeromech 18(4):591–602CrossRefGoogle Scholar
  5. 5.
    Lipanov AM, Makarov SS (2014) Simulation of the problem of hot solid metal cylinder cooling with air-water flow. Mashinostr Inzh Obraz 1:36–41Google Scholar
  6. 6.
    Lipanov AM, Makarov SS (2014) Numerical solution of problem of cooling for hollow metal slabs with cylindrical shape with longitudinal water flow. Khim Fiz Mezoskopiya 16(4):524–529Google Scholar
  7. 7.
    Yagov VV, Leksin MA (2006) Crisis of boiling for subheated liquid on horizontal cylindrical heaters. Teploenergetika 4:15–21Google Scholar
  8. 8.
    Deev VI, Aung ZN, Kutsenko KV et al (2011) Methods for calculation of heat transfer during boiling of liquid on a heated surface. Yad Fiz Inzhiniring 2(5):387–394Google Scholar
  9. 9.
    Glazkov VV, Kireev AN (2010) The effect of direct contact of liquid with surface during quenching. High Temp 48(3):453–456CrossRefGoogle Scholar
  10. 10.
    Vavilov SN, Zhatukhin AV, Kireeva AN (2011) Study of contact between cold coolant and overheated surface. Teplovye Processy Tekh 3:118–121Google Scholar
  11. 11.
    Marchuk I, Karchevsky A, Surtaev A, Kabov O (2015) Heat flux at the surface of foil heater under evaporating sessile droplets. Int J Aerosp Eng. Article ID 391036, 5 pGoogle Scholar
  12. 12.
    Dziak J (2011) Mass and heat transfer during thin-film evaporation of liquid solutions. In: Advanced topics in mass transfer, pp 611–626Google Scholar
  13. 13.
    Nasr A, Debissi C, Nasrallan BS (2011) Evaporation of a binary liquid film by forced convection. Therm Sci 15(3):773–784CrossRefGoogle Scholar
  14. 14.
    Yasuo O, Tomoaki K (2011) Numerical study on pool boiling. Prog Nucl Sci Technol 2:125–129CrossRefGoogle Scholar
  15. 15.
    Tomoaki K, Yasuo O (2014) Direct numerical simulation and visualization of subcooled pool boiling. Int J Aerosp Eng. Article ID 120604, 11 pGoogle Scholar
  16. 16.
    Lipanov AM, Makarov SS, Karpov AI, Makarova EV (2017) Simulation study of a hot metal cylinder cooling by gas-liquid flow. Thermophys Aeromech. Scholar
  17. 17.
    Makarov SS, Dementiev VB, Makarova EV (2016) Mathematical modeling of cooling high-temperature cylindrical workpieces. Procedia Eng. Scholar
  18. 18.
    Makarov SS (2017) Numerical simulation of cooling process for metal cylinder by gas-liquid medium flow moving horizontally in annular channel. Sci Tech J Inform Technol Mech Opt. Scholar
  19. 19.
    Makarov SS, Dementiev VB, Makhneva TM (2017) Numerical simulation of the flow of a gas-liquid medium in a circular channel at cooling a high-temperature metal cylinder with a variable cross-section. MATEC Web Conf. Scholar
  20. 20.
    Makarov SS, Demetiev VB (2017) Numerical simulation of heat transfer at cooling a high-temperature metal billet from steel 30 HGSN2A. Sci Intensive Technol Mech Eng. Scholar
  21. 21.
    Lipanov AM, Makarov SS, Karpov AI (2017) Numerical simulation of the heat transfer at cooling a high-temperature metal cylinder by a flow of a gas-liquid medium. J Phys Conf Ser. Scholar
  22. 22.
    Warnatz J, Maas U, Dibble RW (2001) Combustion. In: Physical and chemical fundamentals, modeling and simulations, experiments, pollutant formation. Springler Verlag, New JerseyGoogle Scholar
  23. 23.
    Makarov SS, Chekmyshev KE (2017) Experimental investigation of high-temperature 40H steel blank cooling. Sci Intensive Technol Mech Eng. Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Udmurt Federal Research Center, Ural Branch of the Russian Academy of SciencesIzhevskRussia

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