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Technical Briefs

Pressure Drop During Condensation in Microchannels

[+] Author and Article Information
Hua Sheng Wang

School of Engineering and Materials Science,
Queen Mary, University of London,
Mile End Road,
London E1 4NS, UK
e-mail: h.s.wang@qmul.ac.uk

Jie Sun

School of Engineering and Materials Science,
Queen Mary, University of London,
Mile End Road,
London E1 4NS, UK;
Institute of Engineering Thermophysics,
Chinese Academy of Science,
Beijing 100190, China

John W. Rose

School of Engineering and Materials Science,
Queen Mary, University of London,
Mile End Road,
London E1 4NS, UK
e-mail: j.w.rose@qmul.ac.uk

1Corresponding authors.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received June 26, 2012; final manuscript received January 26, 2013; published online July 26, 2013. Guest Editors: G. P. “Bud” Peterson and Zhuomin Zhang.

J. Heat Transfer 135(9), 091602 (Jul 26, 2013) (4 pages) Paper No: HT-12-1312; doi: 10.1115/1.4024465 History: Received June 26, 2012; Revised January 26, 2013

The paper reports calculations of friction pressure gradient for the special case of laminar annular flow condensation in microchannels. This is the only flow regime permitting theoretical solution without having recourse to experimental data. Comparisons are made with correlations based on experimental data for R134a. The correlations differ somewhat among themselves with the ratio of highest to lowest predicted friction pressure gradient typically around 1.4 and nearer to unity at high quality. The friction pressure gradients given by the laminar annular flow solutions are in fair agreement with the correlations at high quality and lower than the correlations at lower quality. Attention is drawn to the fact that the friction pressure gradient cannot be directly observed and its evaluation from measurements requires estimation of the nondissipative momentum or acceleration pressure gradient. Methods used to estimate the nondissipative pressure gradient require quality and void fraction together with equations which relate these and whose accuracy is difficult to quantify. Quality and void fraction can be readily found from the laminar annular flow solutions. Significant differences are found between these and values from approximate equations.

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References

Yan, Y. Y., and Lin, T. F., 1999, “Condensation Heat Transfer and Pressure Drop of R-134a in a Small Pipe,” Int. J. Heat Mass Transfer, 42, pp. 697–708. [CrossRef]
Koyama, S., Kuwahara, K., Nakashita, K., and Yamamoto, K., 2003, “An Experimental Study on Condensation of Refrigerant R134a in a Multi-Port Extruded Tube,” Int. J. Refrigeration, 26(4), pp. 425–432. [CrossRef]
Cavallini, A., Del Col, D., Matkovic, M., and Rossetto, L., 2009, “Frictional Pressure Drop During Condensation Inside Minichannels,” Int. J. Heat Fluid Flow, 30, pp. 131–139. [CrossRef]
Agarwal, A., and Garimella, S., 2009, “Modelling of Pressure Drop During Condensation in Circular and Non-Circular Microchannels,” ASME J. Fluids Eng., 131, p. 011302. [CrossRef]
Wang, H. S., and Rose, J. W., 2005, “A Theory of Film Condensation in Horizontal Noncircular Section Microchannels,” ASME J. Heat Transfer, 127, pp. 1096–1105. [CrossRef]
Wang, H. S., and Rose, J. W., 2011, “Theory of Heat Transfer During Condensation in Microchannels,” Int. J. Heat Mass Transfer, 54, pp. 2525–2543. [CrossRef]
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Nusselt, W., 1916, “Die Oberflachenkondensation des Wasserdampfes,” Z. Ver. Dtsch. Ing., 60, pp. 541–546.
Mickley, H. S., Ross, R. C., Squyers, A. L., and Stewart, W. E., 1954, “Heat Mass and Momentum Transfer for Flow Over a Flat Plate With Blowing or Suction,” Report No. NACA-TN-3208.
Wang, H. S., and Rose, J. W., 2013, “Heat Transfer and Pressure Drop During Laminar Annular Flow Condensation in Micro-Channels,” Exp. Heat Transfer, 26, pp. 247–265. [CrossRef]
Zivi, S. M., 1964, “Estimation of Steady State Steam Void-Fraction by Means of the Principle of Minimum Entropy Production,” ASME J. Heat Transfer, 86, pp. 247–252. [CrossRef]
Baroczy, C. J., 1965, “Correlation of Liquid Fraction in Two-Phase Flow With Applications to Liquid Metals,” Chem. Eng. Prog. Symp. Ser., 61(57), pp. 179–191.
Smith, S. L., 1971, “Void Fractions in Two-Phase Flow: A Correlation Based Upon an Equal Velocity Head Model,” Heat Fluid Flow, 1(1), pp. 22–39.

Figures

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Fig. 1

Comparison of original and present calculations of friction pressure gradient for R134a

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Fig. 2

Comparison of original and present calculations of friction pressure gradient for ammonia

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Fig. 3

Dependence of void fraction on quality. Comparisons for R134a.

Grahic Jump Location
Fig. 4

Dependence of void fraction on quality. Comparisons for ammonia.

Grahic Jump Location
Fig. 5

Comparison of friction pressure gradient predictions with correlations based on experimental data

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