Flow regime-based modeling of heat transfer and pressure drop in microchannel flow boiling

Local heat transfer coefficients and pressure drops during boiling of the dielectric liquid fluorinert FC-77 in parallel microchannels were experimentally investigated in recent work by the authors. Detailed visualizations of the corresponding two-phase flow regimes were performed as a function of a wide range of operational and geometric parameters. A new transition criterion was developed for the delineation of a regime where microscale effects become important to the boiling process and a conventional, macroscale treatment becomes inadequate. A comprehensive flow regime map was developed for a wide range of channel dimensions and experimental conditions, and consisted of four distinct regions – bubbly, slug, confined annular, and alternating churn/annular/wispy-annular flow regimes. In the present work, physics-based analyses of local heat transfer in each of the four regimes of the comprehensive map are formulated. Flow regime-based models for prediction of heat transfer coefficient in slug flow and annular/ wispy-annular flow are developed and compared to the experimental data. Also, a regime-based prediction of pressure drop in microchannels is presented by computing the pressure drop during each flow regime that occurs along the microchannel length. The results of this study reveal the promise of flow regime-based modeling efforts for predicting heat transfer and pressure drop in microchannel boiling.

[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]  S. Garimella,et al.  TRANSPORT IN MICROCHANNELS - A CRITICAL REVIEW , 2003 .

[3]  M. W. Wambsganss,et al.  Two-phase pressure drop, boiling heat transfer, and critical heat flux to water in a small-diameter horizontal tube , 2002 .

[4]  M. Cooper.  SATURATION NUCLEATE POOL BOILING - A SIMPLE CORRELATION , 1984 .

[5]  S. Garimella,et al.  Measurements and High-Speed Visualizations of Flow Boiling of a Dielectric Fluid in a Silicon Microchannel Heat Sink † , 2006 .

[6]  Mamoru Ishii,et al.  An Experimental Investigation of the Thermally Induced Flow Oscillations in Two-Phase Systems , 1976 .

[7]  David Quéré,et al.  Quick deposition of a fluid on the wall of a tube , 2000 .

[8]  Jinliang Xu,et al.  On the Prediction of Heat Transfer in Micro-Scale Flow Boiling , 2007 .

[9]  D. Chisholm,et al.  Prediction of Pressure Gradients in Pipeline Systems during Two-Phase Flow: , 1969 .

[10]  G. Wallis.  One Dimensional Two-Phase Flow , 1969 .

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

[12]  V. Carey.  Liquid-Vapor Phase-Change Phenomena , 2020 .

[13]  S. Mohammed.  A GENERAL CORRELATION FOR HEAT TRANSFER DURING SUBCOOLED BOILING IN PIPES AND ANNULI. , 1977 .

[14]  John R. Thome,et al.  State-of-the-Art Overview of Boiling and Two-Phase Flows in Microchannels , 2006 .

[15]  S. Garimella,et al.  Saturated flow boiling heat transfer and pressure drop in silicon microchannel arrays , 2008 .

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

[17]  H. S. Isbin,et al.  TWO-PHASE PRESSURE DROPS , 1954 .

[18]  Suresh V. Garimella,et al.  Effects of channel dimension, heat flux, and mass flux on flow boiling regimes in microchannels , 2009 .

[19]  John R. Thome,et al.  High heat flux flow boiling in silicon multi-microchannels – Part II: Heat transfer characteristics of refrigerant R245fa , 2008 .

[20]  I. Mudawar,et al.  Measurement and prediction of pressure drop in two-phase micro-channel heat sinks , 2003 .

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

[22]  H. Lee,et al.  Heat transfer correlation for boiling flows in small rectangular horizontal channels with low aspect ratios , 2001 .

[23]  I. I. Paleev,et al.  Phenomena of liquid transfer in two-phase dispersed annular flow , 1966 .

[24]  S. Garimella,et al.  A comprehensive flow regime map for microchannel flow boiling with quantitative transition criteria , 2010 .

[25]  V. Carey.  Liquid-Vapor Phase-Change Phenomena: An Introduction to the Thermophysics of Vaporization and Condensation Processes in Heat Transfer Equipment, Third Edition , 2020 .

[26]  V. Dhir,et al.  Heat transfer and pressure drop in narrow rectangular channels , 2002 .

[27]  Suresh V. Garimella,et al.  Microchannel size effects on local flow boiling heat transfer to a dielectric fluid , 2008 .

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

[29]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

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

[31]  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 .

[32]  J. Taborek,et al.  Flow Boiling Heat Transfer in Vertical Tubes Correlated by an Asymptotic Model , 1992 .

[33]  I. Mudawar,et al.  Two-phase flow in high-heat-flux microchannel heat sink for refrigeration cooling applications : Part I – – pressure drop characteristics , 2005 .

[34]  T. Karayiannis,et al.  Examination of heat transfer correlations and a model for flow boiling of R134a in small diameter tubes , 2007 .

[35]  S. Garimella,et al.  Review and Comparative Analysis of Studies on Saturated Flow Boiling in Small Channels , 2008 .

[36]  I. Mudawar,et al.  Flow boiling heat transfer in two-phase micro-channel heat sinks––I. Experimental investigation and assessment of correlation methods , 2003 .

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

[38]  David F. Fletcher,et al.  Subcooled flow boiling heat transfer in narrow passages , 2003 .

[39]  R. Yun,et al.  Evaporative heat transfer and pressure drop of R410A in microchannels , 2006 .

[40]  Avram Bar-Cohen,et al.  Modeling and Prediction of Two-Phase Microgap Channel Heat Transfer Characteristics , 2009 .

[41]  J. Thome,et al.  Flow pattern based two-phase frictional pressure drop model for horizontal tubes, Part II: New phenomenological model , 2007 .

[42]  S. Garimella,et al.  Investigation of Liquid Flow in Microchannels , 2002 .

[43]  K. Gungor,et al.  A general correlation for flow boiling in tubes and annuli , 1986 .

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

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

[46]  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 .

[47]  E. Hihara,et al.  Correlation for boiling heat transfer of R-134a in horizontal tubes including effect of tube diameter , 2007 .

[48]  S. Garimella,et al.  Flow boiling heat transfer in microchannels , 2007 .

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

[50]  J. Thome,et al.  New prediction methods for CO2 evaporation inside tubes: Part I – A two-phase flow pattern map and a flow pattern based phenomenological model for two-phase flow frictional pressure drops , 2008 .

[51]  Suresh V. Garimella,et al.  The critical role of channel cross-sectional area in microchannel flow boiling heat transfer , 2009 .

[52]  J. Thome,et al.  Flow pattern based two-phase frictional pressure drop model for horizontal tubes. Part I: Diabatic and adiabatic experimental study , 2007 .

[53]  S. Kandlikar.  A Model for Correlating Flow Boiling Heat Transfer in Augmented Tubes and Compact , 1991 .

[54]  R. Blevins.  Applied Fluid Dynamics Handbook , 1984 .

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

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

[57]  Kiyofumi Moriyama,et al.  Thickness of the Liquid Film Formed by a Growing Bubble in a Narrow Gap Between Two Horizontal Plates , 1996 .

[58]  T. Karayiannis,et al.  Flow boiling and flow regimes in small diameter tubes , 2004 .

[59]  John R. Thome,et al.  Characterization of diabatic two-phase flows in microchannels: Flow parameter results for R-134a in a 0.5 mm channel , 2006 .

[60]  J. Thome,et al.  Comparison of experimental pressure drop data for two phase flows to prediction methods using a general model , 2007 .

[61]  Satish G. Kandlikar.  Heat Transfer Mechanisms During Flow Boiling in Microchannels , 2004 .

[62]  E. Schlunder,et al.  VDI Heat Atlas , 1993 .

[63]  I. Mudawar,et al.  Flow boiling heat transfer in two-phase micro-channel heat sinks--II. Annular two-phase flow model , 2003 .

[64]  D. L. Bennett,et al.  Forced convective boiling in vertical tubes for saturated pure components and binary mixtures , 1980 .