Numerical investigation of boiling heat transfer in a quenching process of jet impingement considering solid temperature distribution

  • Mehran Ghasemian
  • Abas Ramiar
  • Ali Akbar Ranjbar


Boiling jet impingements are being widely used in various industries. Hence, a quenching jet impingement is simulated numerically. A solver code based on volume of fluid method was modified to analyze the effects of conjugation and mass transfer, and validated against an experimental study. Then, optimized cooling factor (OCF) was defined to involve temperature uniformity of the block and the cooling rate simultaneously. Subsequently, in laminar two-jet configurations, the effects of velocity inlet function, jet-to-surface and jet-to-jet spacing on standard temperature uniformity index (STUI) and OCF in a highly heated block were investigated. Heaviside function of time for the inlet velocity and periods of pulse between 0 and 0.2 were considered. Some remarkable results are achieved by the proposed configurations. In all cases with pulsating jets, improvements in STUI and OCF relative to pulse-free ones were observed; when V = 0.4 m s−1, OCF peaked at 2 in P = 0.06, which was almost eight times greater than OCF of pulse-free configuration (OCF = 0.24). As velocity decreased, the temperature uniformity improved; however, OCF showed the highest value at higher velocities occurring for lower periods of pulses. This happens because of more uniform temperature distribution in both plate sides and continual destroying film boiling layers generated on the surface. Also, in a jet-to-jet spacing of about one-third of the block length, for all plate lengths, optimal temperature uniformity with maximum OCF was obtained, due to formation of two stagnation points having the highest heat transfer rate by positioning in an ideal distance from each other.


Boiling jet impingement Quenching VOF Conjugation Mass transfer STUI 

List of symbols


Specific heat (J kg−1 K−1)


Jet diameter at the impingement surface (m)


Jet width (m)


Force of gravity


Surface tension force


Gravity (m s−2)


Latent heat (kJ kg−1)


Jet-to-surface spacing (m)


Solid length (m)

\(\dot{m}^{\prime \prime \prime }\)

Mass transfer (kg m−3 s−1)


Optimized cooling factor


Period of pulse


Mass transfer intensity factor (s−1)


Reynolds number


Jet-to-jet spacing (m)


Standard temperature uniformity index


Time (s)


Solid thickness (m)


Average temperature of solid (K)


Initial temperature of solid (K)


Liquid temperature at inlet (K)


Saturation temperature of water (K)


Jet velocity at impingement surface


Jet velocity (m s−1)

Greek symbols


Volume fraction


Thermal conductivity (W m−1 K−1)


Dynamic viscosity (\({\text{Pa}}\;{\text{s}}\))


Density (kg m−3)


Surface tension (N m−1)


Curvature of the interface







Fluid domain


Gas phase


Liquid phase


Solid domain


  1. 1.
    Narumanchi S, Troshko A, Bharathan D, Hassani V. Numerical simulations of nucleate boiling in impinging jets: applications in power electronics cooling. Int J Heat Mass Transf. 2008;51(1–2):1–12.CrossRefGoogle Scholar
  2. 2.
    Wang Y-B, Wang X-D, Wang T-H, Yan W-M. Asymmetric heat transfer characteristics of a double droplet impact on a moving liquid film. Int J Heat Mass Transf. 2018;126:649–59.CrossRefGoogle Scholar
  3. 3.
    Copeland RJ. Boiling heat transfer to a water jet impinging on a flat surface. Ph.D. Thesis. Southern Methodist University. Dallas TX. 1970.Google Scholar
  4. 4.
    Katto Y, Kunihiro M. Study of the mechanism of burn-out in boiling system of high burn-out heat flux. Bull JSME. 1973;16(99):1357–66.CrossRefGoogle Scholar
  5. 5.
    Qiu L, Dubey S, Choo FH, Duan F. Recent developments of jet impingement nucleate boiling. Int J Heat Mass Transf. 2015;89:42–58.CrossRefGoogle Scholar
  6. 6.
    Liu X, Lienhard J, Lombara J. Convective heat transfer by impingement of circular liquid jets. J Heat Transf. 1991;113(3):571–82.CrossRefGoogle Scholar
  7. 7.
    Mozumder AK, Monde M, Woodfield PL, Islam MA. Maximum heat flux in relation to quenching of a high temperature surface with liquid jet impingement. Int J Heat Mass Transf. 2006;49(17):2877–88.CrossRefGoogle Scholar
  8. 8.
    El-Nasar A. Heat transfer characteristics of horizontal cylinder cooling under single impinging water jet. Int J Appl Sci Eng Res. 2012;1:287–301.Google Scholar
  9. 9.
    Choi G, Kim BS, Lee H, Shin S, Cho HH. Jet impingement in a crossflow configuration: convective boiling and local heat transfer characteristics. Int J Heat Fluid Flow. 2014;50:378–85.CrossRefGoogle Scholar
  10. 10.
    Ndao S, Peles Y, Jensen MK. Experimental investigation of flow boiling heat transfer of jet impingement on smooth and micro structured surfaces. Int J Heat Mass Transf. 2012;55(19):5093–101.CrossRefGoogle Scholar
  11. 11.
    Joshi SN, Dede EM. Two-phase jet impingement cooling for high heat flux wide band-gap devices using multi-scale porous surfaces. Appl Therm Eng. 2017;110:10–7.CrossRefGoogle Scholar
  12. 12.
    Wang X-J, Liu Z-H, Li Y-Y. Experimental study of heat transfer characteristics of high-velocity small slot jet impingement boiling on nanoscale modification surfaces. Int J Heat Mass Transf. 2016;103:1042–52.CrossRefGoogle Scholar
  13. 13.
    Abishek S, Narayanaswamy R, Narayanan V. Effect of heater size and Reynolds number on the partitioning of surface heat flux in subcooled jet impingement boiling. Int J Heat Mass Transf. 2013;59:247–61.CrossRefGoogle Scholar
  14. 14.
    Qiu L, Dubey S, Choo FH, Duan F. Effect of conjugation on jet impingement boiling heat transfer. Int J Heat Mass Transf. 2015;91:584–93.CrossRefGoogle Scholar
  15. 15.
    Toghraie D. Numerical thermal analysis of water’s boiling heat transfer based on a turbulent jet impingement on heated surface. Physica E. 2016;84:454–65.CrossRefGoogle Scholar
  16. 16.
    Kobayashi K, Nakamura O, Haraguchi Y. Water quenching CFD (computational fluid dynamics) simulation with cylindrical impinging Jets. Nippon Steel & Sumitomo Metal Technical Report. 2016;401:105–10.Google Scholar
  17. 17.
    Dobbertean MM, Rahman MM. Numerical analysis of steady state heat transfer for jet impingement on patterned surfaces. Appl Therm Eng. 2016;103:481–90.CrossRefGoogle Scholar
  18. 18.
    Karwa N, Stephan P, editors. Jet impingement quenching: effect of coolant accumulation. J Phys. Conference Series; 2012: IOP Publishing.Google Scholar
  19. 19.
    Gradeck M, Kouachi A, Lebouché M, Volle F, Maillet D, Borean J-L. Boiling curves in relation to quenching of a high temperature moving surface with liquid jet impingement. Int J Heat Mass Transf. 2009;52(5–6):1094–104.CrossRefGoogle Scholar
  20. 20.
    Agrawal C, Kumar R, Gupta A, Chatterjee B. Effect of jet diameter on the rewetting of hot horizontal surfaces during quenching. Exp Therm Fluid Sci. 2012;42:25–37.CrossRefGoogle Scholar
  21. 21.
    Agrawal C, Kumar R, Gupta A, Chatterjee B. Determination of rewetting velocity during jet impingement cooling of hot vertical rod. J Therm Anal Calorim. 2016;123(1):861–71. Scholar
  22. 22.
    Lee SG, Kaviany M, Lee J. Quench subcooled-jet impingement boiling: two interacting-jet enhancement. Int J Heat Mass Transf. 2018;126(Part A):1302–14. Scholar
  23. 23.
    Hammad J, Mitsutake Y, Monde M. Movement of maximum heat flux and wetting front during quenching of hot cylindrical block. Int J Therm Sci. 2004;43(8):743–52.CrossRefGoogle Scholar
  24. 24.
    Moraveji A, Toghraie D. Computational fluid dynamics simulation of heat transfer and fluid flow characteristics in a vortex tube by considering the various parameters. Int J Heat Mass Transf. 2017;113:432–43. Scholar
  25. 25.
    Hosseinnezhad R, Akbari OA, Hassanzadeh Afrouzi H, Biglarian M, Koveiti A, Toghraie D. Numerical study of turbulent nanofluid heat transfer in a tubular heat exchanger with twin twisted-tape inserts. J Therm Anal Calorim. 2018;132(1):741–59. Scholar
  26. 26.
    Toghraie D, Abdollah MMD, Pourfattah F, Akbari OA, Ruhani B. Numerical investigation of flow and heat transfer characteristics in smooth, sinusoidal and zigzag-shaped microchannel with and without nanofluid. J Therm Anal Calorim. 2018;131(2):1757–66. Scholar
  27. 27.
    OPENCFD L. OpenFOAM: the open source CFD Toolbox. 2010.Google Scholar
  28. 28.
    Hirt CW, Nichols BD. Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys. 1981;39(1):201–25.CrossRefGoogle Scholar
  29. 29.
    Brackbill J, Kothe DB, Zemach C. A continuum method for modeling surface tension. J Comput Phys. 1992;100(2):335–54.CrossRefGoogle Scholar
  30. 30.
    Wu H, Peng X, Ye P, Gong YE. Simulation of refrigerant flow boiling in serpentine tubes. Int J Heat Mass Transf. 2007;50(5):1186–95.CrossRefGoogle Scholar
  31. 31.
    Da Riva E, Del Col D. Effect of gravity during condensation of R134a in a circular minichannel. Microgravity Sci Technol. 2011;23:87–97.CrossRefGoogle Scholar
  32. 32.
    Huang Z, Zhu H, Yan R, Wang S. Simulation and prediction of radio frequency heating in dry soybeans. Biosyst Eng. 2015;129:34–47.CrossRefGoogle Scholar
  33. 33.
    Karwa N, Stephan P. Experimental investigation of free-surface jet impingement quenching process. Int J Heat Mass Transf. 2013;64:1118–26.CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  • Mehran Ghasemian
    • 1
  • Abas Ramiar
    • 1
  • Ali Akbar Ranjbar
    • 1
  1. 1.Faculty of Mechanical EngineeringBabol Noshirvani University of TechnologyBabolIran

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