### A Comparative Study of Heat Transfer Coefficients for Film Condensation

#### Abstract

Film condensation heat transfer has wide applications in a variety of industrial systems. A number of film condensation heat transfer correlations (FCHTCs) have been proposed. However, their predictions are often inconsistent. This paper presents a comparative study of existing FCHTCs. Totally 1214 experimental data points are obtained from 10 published papers, and 14 FCHTCs are reviewed, among which four correlations are used for horizontal flow outside smooth tubes, three for flow on vertical surfaces of plates or tubes, two for flow inside smooth tubes either vertically or horizontally, and five for horizontal flow inside smooth tubes. 13 FCHTCs are compared with the experimental data. There are three FCHTCs for horizontal flow inside smooth tubes having a mean absolute relative deviation (MARD) less than 26%, among which the best one has an MARD of 22.2%. More efforts should be made to develop better correlations.

**Key words:** Correlation; Heat transfer; Film; Condensation

#### Keywords

#### Full Text:

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[1] Akers, W.W., Deans, H.A., & Crosser, O.K. (1959). Condensing Heat Transfer Within Horizontal Tubes. *Chemical Engineering** **Progress Symposium Series**,** 55, *171–176*.*

[2] Akers, W.W., & Rosson, H.F. (1960). Condensation Inside a Horizontal Tube. *Chemical Engineering Progress Symposium Series, 50, *145–149*.*

[3] Aprea, C., Greco, A., & Vanoli, G.P. (2003). Condensation Heat Transfer Coefficients for R22 and R407C in Gravity Driven Flow Regime Within a Smooth Horizontal Tube. *Int. J. Refrigeration, 26,*393–401*.*

[4] Bandhauer, T.M. (2006). Measurement and Modeling of Condensation Heat Transfer Coefficients in Circular Microchannels. *J. Heat Transfer–Transactions of the ASME, 128*(10)*, *1050–1059*.*

[5] Bassi, R., & Bansal, P.K. (2003). In-Tube Condensation of Mixture of R134a and Ester Oil: Empirical Correlations. *Int. J. Refrigeration**,** 26*(4)*,** *402–409*.*

[6] Beatty, K.O., & Katz, D.L. (1948). Condensation of Vapors on Outside of Finned Tubes. *Chemical Engineering Progress, 44 (1), *55*.*

[7] Belghazi, M., Bontemps, A., Signe, J.C., & Marvillet, C. (2001). 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. Refrigeration**, 24*(8)*, *841–855*.*

[8] Bivens, D.B., & Yokozeki, A. (1994). Heat Transfer Coefficient and Transport Properties for Alternative Refrigerants, Proc, 1994. *Int. Refrigeration Conference, Purdue, Indiana* (pp. 299–304)*.*

[9] Browne, M.W., & Bansal, P.K. (1999). An Overview of Condensation Heat Transfer on Horizontal Tube Bundles. *Applied Thermal Engineering, 19*(6)*, *565-594*.*

[10] Cavallini, A., & Zechin, R. (1974). A Dimensionless Correlation for Heat Transfer Coefficient in Forced-Convection Condensation. *Proceedings of the Fifth International** **Heat Transfer Conference, Japan, *(vol. 3, pp. 309–313)*.*

[11] Cavallini, A., Censi, G., Del Col, D., Doretti, L., Longo, G.A., & Rossetto, L. (2001). Experimental Investigation on Condensation Heat Transfer and Pressure Drop of New HFC Refrigerants (R134a, R125, R32, R410A, R236ea) in a Horizontal Smooth Tube. *Int. J. Refrigeration, 24*(1)*, *73-87*.*

[12] Cavallini, A., Censi, G., Del Col, D., Doretti, L., Longo, G.A., Rossetto, L., & Zilio, C. (2003). Condensation Inside and Outside Smooth and Enhanced Tubes – a Review of Recent Research.* **Int**. **J**.** Refrigeration**,** 26*(4)*, *373–392*.*

[13] Cavallini, A., Censi, G., Del Col, D., Doretti, L., Matkovic, M., Rossetto, L., & Zilio, C. (2006). Condensation in Horizontal Smooth Tubes: a New Heat Transfer Model for Heat Exchanger Design. *Heat Transfer Engineering**,** 27*(8)*,** *31–38*.*

[14] Chato, J.C. (1961). Laminar Condensation Inside Horizontal and Inclined Tubes. *ASHRAE** **Journal**,** 4**,** *52–60*.*

[15] Chato, J.C. (1962). Laminar Condensation Inside Horizontal and Inclined Tubes.* ASHRAE J, 4, *52–60*.*

[16] Chen, S.L., Gerner, F.M., & Tien, C.L. (1987). General ﬁlm Condensation Correlation. *Experimental Heat Transfer**, **1**, *93–107*.*

[17] Dalkilic, A.S., Laohalertdecha, S., & Wongwises, S. (2009). Experimental Investigation of Heat Transfer Coefficient of R134a During Condensation in Vertical Downward Flow at High Mass Flux in a Smooth Tube. *In**t.** Commun**.** Heat and Mass Transfer, 36, *1036–1043.

[18] Dhir, V.K., & Lienhard, J. (1971). Laminar Film Condensation on Plan and Axisymmetric Bodies in Non-Uniform Gravity. *J. Heat Transfer, 93*(1)*,* 97–100.

[19] Dobson, M.K., & Chato, J.C. (1998). Condensation in Smooth Horizontal Tubes. *J**.** Heat Transfer, 120*(1)*, *193–213*.*

[20] Fang, X. D., Xu, Y., & Zhou, Z. R. (2011). New Correlations of Single-Phase Friction Factor for Turbulent Pipe Flow and Evaluation of Existing Single-Phase Friction Factor Correlations. *Nuclear Engineering and Design, 241*(3), 897-902*.*

[21] Fang, X. D., Zhang, H. G., Xu, Y., & Su, X. H. (2012). Evaluation of Using Two-Phase Frictional Pressure Drop Correlations for Normal Gravity to Microgravity and Reduced Gravity. *Advances in Space Research*, *49*(2)*, *351–3641.

[22] Fang, X. D., & Xu, Y. (2011). Modified Heat Transfer Equation for In-Tube Supercritical CO_{2} Cooling. *Applied thermal Engineering, **31*(14-15)*, *3036-3042.

[23] Fujii, T.* *(1995). Enhancement to Condensing Heat Transfer-New Developments. *J**. **Enhanced Heat Transfer**,** 2*(1-2)*,** *127–137.

[24] Grober, H., Erk, S., & Grigull, U. (1961). *Fundamentals of Heat Transfer. *New York: McGraw-Hill.

[25] Incropera, F.P., & DeWitt, D.P. (2002). *Fundamental of Heat and Mass Transfer* (5^{th} ed.). New York: John Wiley & Sons.

[26] Jung, D., Kim, C.B., Cho, S., & Song, K. (1999). Condensation Heat Transfer Coefficients of Enhanced Tubes with Alternative Refrigerants for CFC11 and CFC12. *Int. J. Refrigeration, 22*(7)*, *548–557*.*

[27] Jung, D., Kim, C.B., Hwang, S.M., & Kim, K.K. (2003). Condensation Heat Transfer Coefficients of R22, R407C, and R410A on a Horizontal Plain, Low-Fin, and Turbo-C Tubes. *Int. J. Refrigeration, 26*(4)*, *485–491*.*

[28] Jung, D., Song, K.H., Cho, Y.M., & Kim, S.J. (2003). Flow Condensation Heat Transfer Coefficients of Pure Refrigerants. *Int. J. Refrigeration, 26*(1)*, *4–11*.*

[29] Jung, D., Song, K.H., Kim, K.K., & An, K.Y. (2003). Condensation Heat Transfer Coefficients of Halogenated Binary Refrigerant Mixtures on a Smooth Tube. *Int. J. Refrigeration, 26*(7)*, 795–799.*

[30] Koyama, S., Kuwahara, K., Nakashita, K., & Yamamoto, K. (2003). An Experimental Study on Condensation of Refrigerant R134a in a Multi-Port Extruded Tube. *Int**. **J**. **Refrigeration**,** 2**6*(4)*, 425–432.*

[31] Laohalertdecha, S., & Wongwises, S. (2010). The Effects of Corrugation Pitch on the Condensation Heat Transfer Coefficient and Pressure Drop of R-134a Inside Horizontal Corrugated Tube.* Int. J. Heat and Mass Transfer, 53*(13-14)*, *2924–2931*.*

[32] Laohalertdecha, S., & Wongwises, S. (2011). Condensation Heat Transfer and Flow Characteristics of R-134a Flowing Through Corrugated Tubes.* Int. J. Heat and Mass Transfer, 54*(11-12)*, 2673–2682*

[33] Longo, G.A., & Gasparella, A. (2007). Heat Transfer and Pressure Drop During HFC-134a Condensation Inside a Commercial Brazed Plate Heat Exchanger. *Int**.** Congress Refrigeration, Beijing.*

[34] Matkovic, M., Cavallini, A., Del Col, D., & Rossetto, L. (2009). Experimental Study on Condensation Heat Transfer Inside a Single Circular Minichannel. *Int. J. Heat and Mass Transfer**,** 52*(9-10)*, 2311–2323.*

[35] McAdams, W.H. (1954). *Heat Transmission* (3^{rd} ed.). New York: McGraw-Hill.

[36] Moser, K.W. (1998). A New Equivalent Reynolds Number Model for Condensation in Smooth Tubes. *J**. **Heat Transfer – Transactions of the ASME**,** 120*(2)*,** *410–417*.*

[37] Naulboonrueng, T., Kaew-on, J., & Wongwises, S. (2003). Two-Phase Condensation Heat Transfer Coefficients of HFC-134a at High Mass Flux in Smooth and Micro-ﬁn Tubes.* Int. Commun. Heat Mass Transfer**,** 30**,** *577–590*.*

[38] Nusselt, W. (1916). Die Oberflaohen-Kondensation des Wasserdampfes. *VDI Zeitung, 60, *541–546 & 569–575*.*

[39] Park, K.J., June, D., & Seo, T. (2008). Flow Condensation Heat Transfer Characteristics of Hydrocarbon Refrigerants and Dimethyl Ether Inside a Horizontal Plain Tube. *Int. J. Multiphase Flow, 34*(7)*, *628–635*.*

[40] Park, J.E., Vakili-Farahani, F., Consolini, L., & Thome, J.R. (2011). Experimental Study on Condensation Heat Transfer in Vertical Minichannels for New Refrigerant R1234ze (E) Versus R134a and R236fa. *Experimental Thermal and Fluid Science, 35,*442–454*.*

[41] Park, C.Y., & Hrnjak, P. (2009). CO_{2} Flow Condensation Heat Transfer and Pressure Drop in Multi-Port Micro-Channels at Low Temperatures. *Int. J. refrigeration, 32*(6)*, *1129–1139*.*

[42] Sapali, S.N., & Patil, P.A. (2010). Heat Transfer During Condensation of HFC-134a and R-404A Inside of a Horizontal Smooth and Micro-Fin Tube. *Experimental Thermal and Fluid Science, 34*(8)*,* 1133–1141*.*

[43] Shah, M.M. (1979). A General Correlation for Heat Transfer During ﬁlm Condensation Inside Pipes. *Int**.** J**.** Heat** **and Mass Transfer*,* 22*(4)*, *547–556*.*

[44] Sieder, E.N., & Tate, G.E. (1936). Heat Transfer and Pressure Drop of Liquids in Tubes.* Ind. Eng. Chem.*,* 28*(12), 1429–1435.

[45] Singh, A., Ohadi, M.M., & Dessiatoun, S.V. (1996). Empirical Modeling of Stratified Wavy Flow Condensation Heat Transfer in Smooth Horizontal Tubes. *ASHRAE Trans: Symposia**, **9**, *596–603.

[46] Soliman, M., Schuster, J.R., & Berenson, P.J. (1968). A General Heat Transfer Correlation for Annular Flow Condensation. *J. Heat Transfer, 90*(2), 267–276.

[47] Suliman, R., Liebenberg, L., & Meyer, J.P. (2009). Improved Flow Pattern Map for Accurate Prediction of the Heat Transfer Coefficients During Condensation of R-134a in Smooth Horizontal Tubes and Within the Low-Mass Flux Range.* Int. J. Heat and Mass Transfer, 52*(25-26), 5701–5711.

[48] Tandon, T.N., Varma, H.K., & Gupta, C.P. (1995). Heat Transfer During Forced Convection Condensation Inside Horizontal Tube. *Int. J. Refrigeration, 18*(3), 210–214.

[49] Tang, L., Ohadi, M.M., & Johnson, A.T. (2000). Flow condensation in Smooth Andmicroﬁn Tubes with HCFC-22, HFC-134a, and HFC-410 Refrigerants. part II: Design equations. *J**.** Enhanced Heat Transfer**,** 7**,* 311–325.

[50] Thome, J.R., El Hajal, J., & Cavallini, A. (2003). Condensation in Horizontal Tubes, Part 2: New Heat Transfer Model Based on Flow Regimes. *Int. J. Heat and Mass Transfer, 46*(18)*, *3365–3387.

[51] Traviss, D.P., Rohsenow, W.M., & Baron, A.B. (1973). Forced Convection Condensation in Tubes: A Heat Transfer Correlation for Condenser Design. *ASHRAE Transactions**,** 79*, 157–165.

[52] Wen, M.Y., & Ho, C.Y. (2009). Condensation Heat-Transfer and Pressure Drop Characteristics of Refrigerant R-290/R-600a–Oil Mixtures in Serpentine Small-Diameter U-Tubes. *Applied Thermal Engineering, 29*(11-12), 2460–2467*.*

[53] Wongwises, S., & Polsongkram, M. (2006). Condensation Heat Transfer and Pressure Drop of HFC-134a in a Helically Coiled Concentric Tube-In-Tube Heat Exchanger. *Int. J. Heat and Mass Transfer, 49*(23-24), 4386–4398.

DOI: http://dx.doi.org/10.3968%2Fj.est.1923847920120301.152

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