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A film boiling model for cryogenic chilldown at low mass flux inside a horizontal pipeline

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Abstract

A film boiling heat transfer model is developed for cryogenic chilldown at low mass flux inside a horizontal pipeline. It incorporates the stratified flow structure and is based on conservation principles of mass, momentum, and energy. Simplifying assumptions lead to an expression for the local film boiling heat transfer coefficient which varies with the azimuthal angle. The efficacy of the model is assessed by comparing the predicted wall temperature histories with those measured at several azimuthal positions and various mass fluxes. Good agreement is observed at low flux, G = 13–54 kg/m2 s.

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Abbreviations

Bo:

boiling number

c p :

heat capacity (J/kg K)

D :

pipe diameter (m)

d :

thickness of pipe wall (m)

G :

mass flux (kg/m2 s)

g :

gravity (m/s2)

h :

heat transfer coefficient (W/m2 K)

h fg :

latent heat (J/kg)

Ja:

Jakob number

k :

thermal conductivity (W/m K)

Nu:

Nusselt number

p :

pressure (Pa)

R :

radius of pipe (m)

Ra:

Rayleigh number

Re :

Reynolds number

T :

temperature (K)

T w :

wall temperature (K)

t :

time (s)

U :

velocity (m/s)

u and v :

vapor film velocity (m/s)

x and y :

vapor film coordinates

z, r, and ϕ:

cylindrical coordinates

αv :

vapor thermal diffusivity (m2/s)

αl :

liquid volume fraction

δ:

vapor film thickness (m)

χtt :

Martinelli parameter

ν:

kinematic viscosity (m2/s)

ρ:

density (kg/m3)

v:

vapor

sat:

saturated

References

  1. Bromley JA (1950) Heat transfer in stable film boiling. Chem Eng Process 46(5):221–227

    Google Scholar 

  2. Dougall RS, Rohsenow WM (1963) Film boiling on the inside of vertical tubes with upward flow of the fluid at low qualities. MIT report no 9079-26

  3. Laverty WF, Rohsenow WM (1967) Film boiling of saturated nitrogen flowing in a vertical tube. J Heat Transf 89:90–98

    Google Scholar 

  4. Breen BP, Westwater JW (1962) Effect of diameter of horizontal tubes on film heat transfer. Chem Eng Process 58(7):67–72

    Google Scholar 

  5. Berenson PJ (1961) Film-boiling heat transfer from a horizontal surface. J Heat Transf 83:351–358

    Google Scholar 

  6. Hendricks RC, Graham RW, Hsu YY, Friedman R (1961) Experimental heat transfer and pressure drop of liquid hydrogen flowing through a heated tube. NASA TN D-765

  7. Hendricks RC, Graham RW, Hsu YY, Friedman R (1966) Experimental heat transfer results for cryogenic hydrogen flowing in tubes at subcritical and supercritical pressure to 800 pounds per square inch absolute. NASA TN D-3095

  8. Ellerbrock HH, Livingood JNB, Straight DM (1962) Fluid-flow and heat-transfer problems in nuclear rockets. NASA SP-20

  9. von Glahn UH (1964) A correlation of film-boiling heat transfer coefficients obtained with hydrogen, nitrogen and Freon 113 in forced flow. NASA TN D-2294

  10. Giarratano PJ, Smith RV (1965) Comparative study of forced convection boiling heat transfer correlations for cryogenic fluids. Adv Cryog Eng 11:492–505

    Google Scholar 

  11. Ferderking THK, Clark JA (1963) Nature convection film boiling on a sphere. Adv Cryog Eng 8:501–506

    Google Scholar 

  12. Carey VP (1992) Liquid–vapor phase-change phenomena. Taylor & Francis Press, New York

    Google Scholar 

  13. Liao J, Yuan K, Mei R, Klausner JF, Chung JN (2005) Cryogenic chilldown model for stratified inside a pipe. In: Proceedings of ASME summer heat transfer conference, San Francisco

  14. Liao J (2005) Modeling two-phase transport during cryogenic chilldown in a pipeline. PhD Thesis, University of Florida

  15. Thompson TS (1972) An analysis of the wet-side heat-transfer coefficient during rewetting of a hot dry patch. Nucl Eng Des 22:212–224

    Article  Google Scholar 

  16. Chung JN, Yuan K, Xiong R (2004) Two-phase flow and heat transfer of a cryogenic fluid during pipe chilldown. In: Proceedings of 5th international conference on multiphase flow, Yokohama, pp 468

  17. Velat CJ (2004) Experiments in cryogenic two-phase flow. MS Thesis, University of Florida

  18. Velat CJ, Jackson J, Klausner JF, Mei R (2004) Cryogenic two-phase flow during chilldown. In: Proceedings of ASME summer heat transfer conference, Charlotte

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Acknowledgements

This work was supported by NASA Glenn Research Center under contract NAG3-2930 and NASA Kennedy Space Center. The authors wish to thank Professor Jacob N. Chung and PhD student Kun Yuan at the University of Florida for many useful discussions.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, University of Florida, P.O. Box 116300, Gainesville, FL, 32611-6300, USA

    Jun Liao, Renwei Mei & James F. Klausner

Authors
  1. Jun Liao
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  2. Renwei Mei
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  3. James F. Klausner
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Corresponding author

Correspondence to James F. Klausner.

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Liao, J., Mei, R. & Klausner, J.F. A film boiling model for cryogenic chilldown at low mass flux inside a horizontal pipeline. Heat Mass Transfer 42, 891–900 (2006). https://doi.org/10.1007/s00231-006-0143-5

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  • DOI: https://doi.org/10.1007/s00231-006-0143-5

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