An analysis of experimental data and prediction methods for two-phase frictional pressure drop and flow boiling heat transfer in micro-scale channels

Abstract Experimental results for two-phase frictional pressure drop and flow boiling heat transfer in micro-scale channels were obtained from the literature. The extensive pressure drop database comprises both diabatic and adiabatic results covering eight fluids, mass velocities from 23 to 6000 kg/m2 s and vapor qualities up to 1. These data were carefully analyzed and compared against 12 two-phase frictional pressure drop prediction methods, including both macro- and micro-scale methods. Overall, the methods by Muller-Steinhagen and Heck and by Mishima and Hibiki, as well as the homogenous model, using the two-phase viscosity definition proposed by Cicchitti and coworkers, provide the most accurate predictions. However, they worked poorly at vapor qualities higher than 0.5 where annular, partial dryout and mist flow patterns would be expected. Similarly, a large database for micro-scale flow boiling heat transfer for eleven fluids covering mass velocities from 100 to 800 kg/m2 s, reduced pressures from 0.03 to 0.77 and heat fluxes from 5 to 180 kW/m2 were compared against three recently proposed micro-scale and one well-known macro-scale heat transfer prediction method. Although some heat transfer trends were captured by the methods, in general they poorly predicted the database. This is not surprising since an analysis of the trends of the experimental results revealed large discrepancies between different data sets, even at similar experimental conditions, and no present method could capture such contrasting trends. The study concludes that the 3-zone model proposed by Thome and coworkers based on the transient conduction through an evaporating liquid film seems to be the most promising approach to predict heat transfer coefficients in micro-scale channels but is still not sufficiently developed to use as a general design tool.

[1]  S. Kandlikar,et al.  An Extension of the Flow Boiling Correlation to Transition, Laminar, and Deep Laminar Flows in Minichannels and Microchannels , 2004, Proceeding of Compact Heat Exchangers and Enhancement Technology for the Process Industries - 2003.

[2]  L. Friedel Improved Friction Pressure Drop Correlation for Horizontal and Vertical Two-Phase Pipe Flow , 1979 .

[3]  A. Cavallini,et al.  Two-phase frictional pressure gradient of R236ea, R134a and R410A inside multi-port mini-channels , 2005 .

[4]  S. Klein,et al.  NIST Standard Reference Database 23: NIST Thermodynamic and Transport Properties of Refrigerants and Refrigerant Mixtures-REFPROP, Version 6.0 | NIST , 1998 .

[5]  N. Zuber,et al.  Dynamics of vapor bubbles and boiling heat transfer , 1955 .

[6]  P. Kew,et al.  Correlations for the prediction of boiling heat transfer in small-diameter channels , 1997 .

[7]  R. Lockhart Proposed Correlation of Data for Isothermal Two-Phase, Two-Component Flow in Pipes , 1949 .

[8]  G. M. Lazarek,et al.  Evaporative heat transfer, pressure drop and critical heat flux in a small vertical tube with R-113 , 1982 .

[9]  A. Bontemps,et al.  Boiling heat transfer in mini-channels : influence of the hydraulic diameter , 2003 .

[10]  Masahiro Kawaji,et al.  The effect of channel diameter on adiabatic two-phase flow characteristics in microchannels ☆ , 2004 .

[11]  D. Chisholm A theoretical basis for the Lockhart-Martinelli correlation for two-phase flow , 1967 .

[12]  Said I. Abdel-Khalik,et al.  Gas–liquid two-phase flow in microchannels: Part II: void fraction and pressure drop , 1999 .

[13]  D. Fletcher,et al.  Flow boiling heat transfer of Freon R11 and HCFC123 in narrow passages , 2000 .

[14]  T. Hibiki,et al.  Some characteristics of air-water two-phase flow in small diameter vertical tubes , 1996 .

[15]  M. W. Wambsganss,et al.  Two-phase pressure drop of refrigerants during flow boiling in small channels : an experimental investigation and correlation development. , 1999 .

[16]  John R. Thome,et al.  Heat Transfer Model for Evaporation of Elongated Bubble Flows in Microchannels , 2002 .

[17]  Chien-Yuh Yang,et al.  Flow pattern of air–water and two-phase R-134a in small circular tubes , 2001 .

[18]  I. Mudawar,et al.  Two-phase flow in high-heat-flux micro-channel heat sink for refrigeration cooling applications: Part II—heat transfer characteristics , 2005 .

[19]  Kunihito Matsumura,et al.  Saturated flow boiling of water in a vertical small diameter tube , 2003 .

[20]  Satish G. Kandlikar,et al.  Evolution of Microchannel Flow Passages--Thermohydraulic Performance and Fabrication Technology , 2003 .

[21]  Kenichi Hashizume,et al.  Flow pattern, void fraction and pressure drop of refrigerant two-phase flow in a horizontal pipe—I. Experimental data , 1983 .

[22]  J. Thome Boiling in microchannels: a review of experiment and theory , 2004 .

[23]  John R. Thome,et al.  State-of-the-art of two-phase flow and flow boiling heat transfer and pressure drop of CO2 in macro- and micro-channels. , 2005 .

[24]  Tsing-Fa Lin,et al.  Evaporation heat transfer and pressure drop of refrigerant R-134a in a small pipe , 1998 .

[25]  R. Shah,et al.  Fluid Flow and Heat Transfer at Micro- and Meso-Scales With Application to Heat Exchanger Design , 2000 .

[26]  W. Zhang,et al.  Correlation for flow boiling heat transfer in mini-channels , 2004 .

[27]  D. Chisholm Two-Phase Flow in Pipelines and Heat Exchangers , 1983 .

[28]  John R. Thome,et al.  Heat Transfer Model for Evaporation in Microchannels, Part I: Presentation of the Model , 2004 .

[29]  J. Thome,et al.  Flow Boiling in Horizontal Tubes. Part 1; Development of a Diabatic Two–Phase Flow Pattern Map , 1998 .

[30]  Min-Soo Kim,et al.  Convective boiling heat transfer characteristics of CO2 in microchannels , 2005 .

[31]  B. Palm,et al.  Evaporative heat transfer in vertical circular microchannels , 2004 .

[32]  D. Chisholm,et al.  Pressure gradients due to friction during the flow of evaporating two-phase mixtures in smooth tubes and channels , 1973 .

[33]  Tim Ameel,et al.  Two-Phase Flow in Microchannels , 1997, Microelectromechanical Systems (MEMS).

[34]  H. Müller-Steinhagen,et al.  A simple friction pressure drop correlation for two-phase flow in pipes , 1986 .

[35]  A. Bontemps,et al.  Vertical flow boiling of refrigerant R134a in small channels , 2005 .

[36]  J. Thome,et al.  Two-Phase Flow Pattern Map for Evaporation in Horizontal Tubes: Latest Version , 2003 .

[37]  Xiulan Huai,et al.  An experimental study of flow boiling characteristics of carbon dioxide in multiport mini channels , 2004 .

[38]  S. Lin,et al.  Two-phase heat transfer to a refrigerant in a 1 mm diameter tube , 2001 .

[39]  John R. Thome,et al.  Prediction of Two-Phase Pressure Gradients of Refrigerants in Horizontal Tubes , 2002 .

[40]  Y. Fujita,et al.  Flow boiling heat transfer and flow pattern in rectangular channel of mini-gap , 2004 .

[41]  Jostein Pettersen,et al.  Flow vaporization of CO2 in microchannel tubes , 2004 .

[42]  J. C. Chen Correlation for Boiling Heat Transfer to Saturated Fluids in Convective Flow , 1966 .

[43]  B. Palm,et al.  Flow Boiling Heat Transfer in a Vertical Circular Microchannel Tube , 2003 .

[44]  M. W. Wambsganss,et al.  Boiling Heat Transfer in a Horizontal Small-Diameter Tube , 1993 .

[45]  Yu-Juei Chang,et al.  Two-phase pressure drop of air–water and R-410A in small horizontal tubes , 2001 .

[46]  S. Lin,et al.  Local frictional pressure drop during vaporization of R-12 through capillary tubes , 1991 .

[47]  R. Winterton,et al.  A general correlation for saturated and subcooled flow boiling in tubes and annuli, based on a nucleate pool boiling equation , 1991 .

[48]  S. Kandlikar A General Correlation for Saturated Two-Phase Flow Boiling Heat Transfer Inside Horizontal and Vertical Tubes , 1990 .

[49]  M. W. Wambsganss,et al.  Small circular- and rectangular-channel boiling with two refrigerants , 1996 .

[50]  A. Dukler,et al.  Frictional pressure drop in two‐phase flow: A. A comparison of existing correlations for pressure loss and holdup , 1964 .

[51]  J. W. Paek,et al.  This letter provides discussion of the previously published paper, Yi-Ye Yan and Tsing-Fa Lin, Evaporation heat transfer and pressure drop of refrigerant 134A in a small pipe Authors' reply , 2003 .

[52]  R. Webb,et al.  Correlation of two-phase friction for refrigerants in small-diameter tubes , 2001 .

[53]  J. Thome,et al.  Convective Boiling and Condensation , 1972 .

[54]  Said I. Abdel-Khalik,et al.  Gas–liquid two-phase flow in microchannels Part I: two-phase flow patterns , 1999 .

[55]  K. Bang,et al.  Flow Boiling in Minichannels of Copper, Brass, and Aluminum Round Tubes , 2004 .

[56]  John R. Thome,et al.  Heat Transfer Model for Evaporation in Microchannels, Part II: Comparison with the Database , 2004 .