Research Papers

General Correlation for Heat Transfer to Gas–Liquid Flow in Vertical Channels

[+] Author and Article Information
Mirza M. Shah

Engineering Research Associates,
10 Dahlia Lane,
Redding, CT 06896

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received January 15, 2018; final manuscript received May 30, 2018; published online August 6, 2018. Assoc. Editor: Wei Li.

J. Thermal Sci. Eng. Appl 10(6), 061006 (Aug 06, 2018) (9 pages) Paper No: TSEA-18-1021; doi: 10.1115/1.4040652 History: Received January 15, 2018; Revised May 30, 2018

A general correlation is presented for heat transfer during flow of gas–liquid mixtures flowing in vertical channels prior to dry out. It has been verified with a wide range of data that include upward and downward flow in heated and cooled tubes, annuli, and rectangular channels. The data are from 19 studies and include 14 gas–liquid mixtures with a wide range of properties. The parameters include pressure 1–6.9 bar, temperature 16–115 °C, liquid Reynolds number from 2 to 127,231, superficial gas and liquid velocities up to 87 and 13 m/s, respectively, and ratio of superficial gas and liquid velocities 0.03–1630. The 1022 data points are predicted by the new correlation with mean absolute deviation (MAD) of 18.1%. Several other correlations were also compared to the same data and had MAD of 28.6–45.5%.

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Shah, M. M. , 1981, “Generalized Prediction of Heat Transfer During Two-Component Gas-Liquid Flow in Tubes and Other Channels,” AIChE Symp. Ser., 77(208), pp. 140–151.
Collier, G. C. , 1972, Convective Boiling and Condensation, McGraw-Hill, New York.
Ghajar, A. J. , and Tang, C. C. , 2009, “Advances in Void Fraction, Flow Pattern Maps and Non-Boiling Heat Transfer Two-Phase Flow in Pipes With Various Inclinations,” Advances in Multiphase Flow and Heat Transfer, Vol. 1, Bentham Science Publishers, Sharjah, UAE, pp. 1–52. [CrossRef]
Colburn, A. P. , Gazley, C. , Schoerborn, E. M. , and Sutton, C. S. , 1948, “Effect of Local Boiling and Air Entrainment Temperatures of Liquid-Cooled Cylinders,” National Advisory Committee for Aeronautics, Washington, DC, Technical Report No. NACA TN 1498.
Knott, R. F. , Anderson, R. N. , Acrivos, A. , and Petersen, E. E. , 1959, “An Experimental Study of Heat Transfer to Nitrogen-Oil Mixtures,” Ind. Eng. Chem., Process Des. Develop., 51(11), pp. 1369–1372.
Novasad, Z. , 1955, “Heat Transfer in Two-Phase Gas-Liquid Systems,” Collect. Czekoslov. Chem. Cosomun., 20(2), pp. 477–498. [CrossRef]
Verschoor, H. , and Stemerding, S. , 1951, “Heat Transfer in Two-Phase Flow,” General Discussion on Heat Transfer, Institutional of Mechanical Engineers, London, Sept. 11–13, p. 27.
Kudirka, A. A. , Grosh, R. J. , and McFadden, P. W. , 1965, “Heat Transfer in Two Phase Flow of Gas-Liquid Mixtures,” Ind. Eng. Chem. Fundamen., 4(3), pp. 339–344. [CrossRef]
Dorresteijn, W. R. , 1970, “Experimental Study of Heat Transfer in Upward and Downward Two-Phase Flow of Air and Oil Through 70 MM Tubes,” Fourth International Heat Transfer Conference, Paris-Versailies, France, Aug. 31–Sept. 5. http://www.ihtcdigitallibrary.com/conferences/0c7302a61c102806,049981db5f10fd1b,65e06e5363c5e259.html
Sujumnong, M. , 1998, “Heat Transfer, Pressure Drop and Void Fraction in Two-Phase, Two-Component Flow in a Vertical Tube,” Ph.D. thesis, University of Manitoba, Winnipeg, MB, Canada. https://www.collectionscanada.gc.ca/obj/s4/f2/dsk2/tape17/PQDD_0025/NQ32023.pdf
Rezkallah, K. S. , 1986, “Heat Transfer and Hydrodynamics in Two-Phase Two-Component Flow in a Vertical Tube,” Ph.D. dissertation, University of Manitoba, Winnipeg, MB, Canada. http://hdl.handle.net/1993/28653
Ravipudi, S. R. , 1976, “The Effect of Mass Transfer on Heat Transfer Rates for Two-Phase Flow in a Vertical Pipe,” Ph.D. thesis, Vanderbilt University, Nashville, TN.
Aggour, M. A. , 1978, “Hydrodynamics and Heat Transfer in Two-Phase Two-Component Flow,” Ph.D. dissertation, University of Manitoba, Winnipeg, MB, Canada. http://hdl.handle.net/1993/14171
Mollamahmutoglu, M. , 2009, “Study of Isothermal Pressure Drop and Non-Boiling Heat Transfer in Vertical Downward Two Phase Flow,” M.S. thesis, Oklahoma State University, Stillwater, OK. https://shareok.org/bitstream/handle/11244/10002/Mollamahmutoglu_okstate_0664M_12550.pdf?sequence=1&isAllowed=y
Koviri, R. N. K. , Bhagwat, S. M. , and Ghajar, A. J. , 2015, “Heat Transfer Measurements and Correlations Assessment for Upward Inclined Gas-Liquid Two Phase Flow,” First Thermal and Fluid Engineering Summer Conference (TFESC), New York, Aug. 9–12, pp. 1–15.
Franca, F. A. , Bannwart, A. C. , Camargo, R. M. T. , and Gonçalves, M. A. L. , 2008, “Mechanistic Modeling of the Convective Heat Transfer Coefficient in Gas-Liquid Intermittent Flows,” Heat Transfer Eng., 29(12), pp. 984–998. [CrossRef]
Levy, S. , 1951, Proceedings of the Second Midwestern Conference on Fluid Mechanics, Engineering Experiment Station, Ohio State University, Columbus, OH, p. 337.
Kaminsky, R. D. , 1999, “Estimation of Two-Phase Flow Heat Transfer in Pipes,” ASME J. Energy Resour. Technol., 121(2), pp. 75–80. [CrossRef]
Kim, D. , Ghajar, A. J. , and Dougherty, R. L. , 2000, “Robust Heat Transfer Correlation for Turbulent Gas-Liquid Flow in Vertical Pipes,” J. Thermophys. Heat Transfer, 14(4), pp. 574–578. [CrossRef]
Tang, C. C. , and Ghajar, A. J. , 2007, “Validation of a General Heat Transfer Correlation for Non-Boiling Two-Phase Flow With Different Flow Patterns and Pipe Inclination Angles,” ASME Paper No. HT2007-32219.
Chisholm, D. , 1973, “Void Fraction During Two-Phase Flow,” J. Mech. Eng. Sci., 15(3), pp. 235–236. [CrossRef]
Woldesemayat, M. A. , and Ghajar, A. J. , 2007, “Comparison of Void Fraction Correlations for Different Flow Patterns in Horizontal and Upward Inclined Pipes,” Int. J. Multiphase Flow, 33(4), pp. 347–370. [CrossRef]
Perea, C. D. , Bassani, C. L. , Cozin, C. , Juquueira ., and Morales, R. E. M. , 2012, “Numerical Simulation of Heat Transfer in Two-Phase Slug Flow Using a Slug Tracking Method,” 14th Brazilian Congress of Thermal Sciences and Engineering, Rio de J aneiro, RJ, Brazil, Nov. 18–22. https://www.researchgate.net/publication/320300251_Numerical_Simulation_of_Heat_Transfer_in_Two-Phase_Slug_Flow_Using_a_Slug_Tracking_Model
Sieder, E. N. , and Tate, G. E. , 1936, “Heat Transfer and Pressure Drop of Liquids in Tubes,” Ind. Eng. Chem., 28(12), pp. 1429–1435. [CrossRef]
Dittus, F. W. , and Boelter, L. M. K. , 1930, “Heat Transfer in Automobile Radiators of the Tubular Type,” Univ. California Publ. Eng., 2(1), pp. 443–461.
Kim, D. , and Ghajar, A. J. , 2002, “Heat Transfer Measurements and Correlations for Air-Water Flow of Different Flow Patterns in a Horizontal Pipe,” Exp. Therm. Fluid Sci., 25(8), pp. 659–676. [CrossRef]
Lockhart, R. , and Martinelli, R. C. , 1949, “Proposed Correlation of Data for Isothermal Two-Phase, Two-Component Flow in Pipes,” Chem. Eng. Prog., 45(1), pp. 39–48. http://dns2.asia.edu.tw/~ysho/YSHO-english/1000%20CE/PDF/Che%20Eng%20Pro45,%2039.pdf
Lemmon, E. W. , Huber, M. L. , and McLinden, M. O. , 2013, “NIST Reference Fluid Thermodynamic and Transport Properties,” REFPROP Version 9.1, NIST, Gaithersburg, MD.
Beaton, C. F. , and Hewitt, G. F. , 1989, Physical Property Data for the Chemical and Mechanical Engineers, Hemisphere, New York.
Perroud, P. , and de La Harpe, A. , 1960, “Transfert de Chaleur Par Liquedes Entraines Daus Encoulementgazeux Turbulent,” Centre d' Etudes Nucleaires de Grenoble, Grenoble, France., Report CEA No. 1422.
Vijay, M. M. , 1977, “A Study of Heat Transfer in Two-Phase Two-Component Flow in a Vertical Tube,” Ph.D. thesis, University of Manitoba, Winnipeg, MB, Canada. http://hdl.handle.net/1993/14375
Sekoguchi, K. , Nakazatomi, M. , Sato, Y. , and Tanaka, O. , 1980, “Forced Convective Heat Transfer in Vertical Air-Water Bubble Flow,” Bull. JSME, 23(184), pp. 1625–1631. [CrossRef]
Hinata, S. , 1979, “The Measurement of Temperature Distribution in Vertical Two-Phase Air-Water Flow,” 16th Symposium on Heat Transfer Society of Japan, pp. 85–87 (in Japanese).
Chu, Y. C. , and Jones, B. G. , 1980, “Convective Heat Transfer Coefficient Studies in Upward and Downward Vertical Two-Phase Non-Boiling Flows,” AIChE. J., 76, pp. 79–90.
Michiyoshi, I. , 1978, “Two-Phase Two-Component Heat Transfer,” Sixth International Heat Transfer Conference, Washington, DC, Aug. 7–11, pp. 219–233.
Kenning, D. B. R. , and Kao, Y. S. , 1972, “Convective Heat Transfer to Water Containing Bubbles: Enhancement Not Dependent on Thermocapillarity,” Int. J. Heat Mass Transfer, 15(9), pp. 1709–1717. [CrossRef]
Zaidi, A. J. , 1981, “Hydrodynamics and Heat Transfer in Two-Phase Two-Component Flow in a Vertical Tube,” M.S. thesis, University of Manitoba, Winnipeg, MB, Canada.
Sato, Y. , and Sadatomi, M. , 1981, “Momentum and Heat Transfer in Two-Phase Bubble Flow—A Comparison Between Experimental Data and Theoretical Calculations,” Int. J. Multiphase Flow, 7(2), pp. 179–190. [CrossRef]
Carpenter, F. G. , and Colburn, A. P. , 1951, “The Effect of Vapor Velocity on Condensation Inside Tubes,” General Discussion on Heat Transfer, Institution of Mechanical Engineers, pp. 20–26.
Rohsenow, W. M. , 1956, “Effect of Vapor Velocity on Laminar and Turbulent Condensation,” Trans. ASME, 78, pp. 1637–1643.


Grahic Jump Location
Fig. 1

Data of Verschoor and Stemerding [7] compared to present and other correlations

Grahic Jump Location
Fig. 2

Comparison of the present and other correlations with the data of Ravipudi [12] for toluene–air mixture

Grahic Jump Location
Fig. 3

Data of Perroud and La Harpe [30] for hydrogen–water mixture compared to various correlations. uLS = 0.41 m/s.

Grahic Jump Location
Fig. 4

Comparison of various correlations with the data of Aggour [13] for helium–water mixture. uLS = 0.32 m/s.

Grahic Jump Location
Fig. 5

Data of Vijay [31] for air–water mixture compared to various correlations. ReLS = 747–1531.



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