Comparison of phase interaction models for high pressure subcooled boiling flow in long vertical tubes

Abstract In this article, Eulerian two fluid model is used for prediction of high pressure subcooled nucleate flow boiling in vertical tubes. Predictions of different turbulence models, phase interaction models have been compared with previous experimental data. Axial and radial profiles of vapor fraction and liquid temperature have been used for comparison of these models. Bubble departure diameter models and bubble induced turbulence models show the significant effect on the vapor fraction prediction. It was found that use of Kocamustafaogullari and Ishii models for bubble departure diameter and nucleation site density are suitable for predicting vapor distribution and liquid temperature for high pressure boiling. Models of interfacial heat transfer and bubble departure frequency developed for low pressure or atmospheric conditions showed a good applicability for high pressure conditions also. Inclusion of wall lubrication force showed the void fraction peak near the wall. Simulated pressure drop predictions for high pressure flow boiling in a 13 m long vertical tube shows the error of 2–10% with experimental data. This indicates that computational fluid dynamics (CFD) is the promising technique for pressure drop prediction.

[1]  I. Kljenak,et al.  Modelling of local two-phase flow parameters in upward subcooled flow boiling at low pressure , 2004 .

[2]  Jiyuan Tu,et al.  Modeling subcooled flow boiling in vertical channels at low pressures – Part 1: Assessment of empirical correlations , 2014 .

[3]  Francisco A. Braz Filho,et al.  Prediction of subcooled flow boiling characteristics using two-fluid Eulerian CFD model , 2016 .

[4]  Eckhard Krepper,et al.  CFD modelling of subcooled boiling—Concept, validation and application to fuel assembly design , 2007 .

[5]  S. G. Bankoff,et al.  Vapor volume profiles in developing two-phase flow , 1967 .

[6]  G. Su,et al.  Effects of turbulence models on forced convection subcooled boiling in vertical pipe , 2015 .

[7]  T. H. Lee,et al.  Local flow characteristics of subcooled boiling flow of water in a vertical concentric annulus , 2002 .

[8]  Wei Yao,et al.  Prediction of Parameters Distribution of Upward Boiling Two-Phase Flow With Two-Fluid Models , 2002 .

[9]  G. Cubizolles,et al.  LOCAL MEASUREMENTS ON FLOW BOILING OF REFRIGERANT 12 IN A VERTICAL TUBE , 2001 .

[10]  G. A. Hughmark,et al.  Mass and heat transfer from rigid spheres , 1967 .

[11]  N. Zuber,et al.  POINT OF NET VAPOR GENERATION AND VAPOR VOID FRACTION IN SUBCOOLED BOILING , 1974 .

[12]  N. Zuber,et al.  Drag coefficient and relative velocity in bubbly, droplet or particulate flows , 1979 .

[13]  H. C. Ünal,et al.  Maximum bubble diameter, maximum bubble-growth time and bubble-growth rate during the subcooled nucleate flow boiling of water up to 17.7 MN/m2 , 1976 .

[14]  Vijay Chatoorgoon,et al.  Interfacial Heat Transfer Between Steam Bubbles and Subcooled Water in Vertical Upward Flow , 1995 .

[15]  Michio Sadatomi,et al.  Momentum and heat transfer in two-phase bubble flow—I. Theory , 1981 .

[16]  E. Krepper,et al.  CFD MODELING OF SUBCOOLED FLOW BOILING FOR NUCLEAR ENGINEERING APPLICATIONS , 2005 .

[17]  Michitsugu Mori,et al.  Bubble Lift-off Size in Forced Convective Subcooled Boiling Flow , 2005 .

[18]  M. Mohammadpourfard,et al.  Experimental Study of Magnetic Field Effect on Bubble Lift-Off Diameter in Sub-Cooled Flow Boiling , 2017 .

[19]  D. Drew,et al.  Application of general constitutive principles to the derivation of multidimensional two-phase flow equations , 1979 .

[20]  W. E. Ranz,et al.  Evaporation from drops , 1952 .

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

[22]  Renwei Mei,et al.  Vapor bubble departure in forced convection boiling , 1993 .

[23]  Yanzhong Li,et al.  CFD simulation of upward subcooled boiling flow of refrigerant-113 using the two-fluid model , 2009 .

[24]  J. Klausner,et al.  Nucleation Site Density in Forced Convection Boiling , 1993 .

[25]  James F. Klausner,et al.  BUBBLE FORCES AND DETACHMENT MODELS , 2001 .

[26]  Madhavi V. Sardeshpande,et al.  Two-phase flow boiling pressure drop in small channels , 2016 .

[27]  B. Mikic,et al.  A New Correlation of Pool-Boiling Data Including the Effect of Heating Surface Characteristics , 1969 .

[28]  Fabián J. Bonetto,et al.  Lateral forces on spheres in turbulent uniform shear flow , 1999 .

[29]  Eckhard Krepper,et al.  CFD simulation of convective flow boiling of refrigerant in a vertical annulus , 2008 .

[30]  R. Roy,et al.  Turbulent Subcooled Boiling Flow—Experiments and Simulations , 2002 .

[31]  J. Buchanan,et al.  Assessment of subcooled boiling wall boundary correlations for two-fluid model CFD , 2014 .

[32]  R. Mei,et al.  A unified model for the prediction of bubble detachment diameters in boiling systems—II. Flow boiling , 1993 .

[33]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[34]  Robert Cole,et al.  A photographic study of pool boiling in the region of the critical heat flux , 1960 .

[35]  Mamoru Ishii,et al.  Interfacial area and nucleation site density in boiling systems , 1983 .

[36]  G. I. Bobrovich,et al.  A study of the mechanism of nucleate boiling at high heat fluxes , 1965 .

[37]  J. Flaherty,et al.  Analysis of phase distribution in fully developed laminar bubbly two-phase flow , 1991 .

[38]  G. Hewitt,et al.  CFD investigation and assessment of wall heat flux partitioning model for the prediction of high pressure subcooled flow boiling , 2016 .

[39]  Renwei Mei,et al.  An experimental investigation of bubble growth and detachment in vertical upflow and downflow boiling , 1998 .

[40]  V. Dhir,et al.  Effect of Surface Wettability on Active Nucleation Site Density During Pool Boiling of Water on a Ve , 1993 .

[41]  Simon Lo,et al.  Prediction of a subcooled boiling flow with advanced two-phase flow models , 2012 .

[42]  Yassin A. Hassan,et al.  A two-equation turbulence model of turbulent bubbly flows , 2001 .

[43]  D. Kenning,et al.  Subcooled flow boiling at high heat flux , 1985 .

[44]  L. Jia,et al.  Bubble departure size in flow boiling , 2015 .

[45]  A. R. Balakrishnan,et al.  Nucleation site density in pool boiling of saturated pure liquids: Effect of surface microroughness and surface and liquid physical properties , 1997 .

[46]  Y. Sato,et al.  Liquid velocity distribution in two-phase bubble flow , 1975 .

[47]  Martha Salcudean,et al.  Bubble behavior in subcooled flow boiling of water at low pressures and low flow rates , 2002 .

[48]  G. H. Yeoh,et al.  Assessment of effect of Bubble Departure Frequency in Forced Convective Subcooled Boiling Flow , 2008 .

[49]  R. Roy,et al.  Velocity Field in Turbulent Subcooled Boiling Flow , 1997 .

[50]  Michael Fairweather,et al.  Accuracy of Eulerian–Eulerian, two-fluid CFD boiling models of subcooled boiling flows , 2016 .

[51]  N. Zuber Nucleate boiling. The region of isolated bubbles and the similarity with natural convection , 1963 .

[52]  Huiying Li,et al.  Prediction of Boiling and Critical Heat Flux Using an Eulerian Multiphase Boiling Model , 2011 .

[53]  Franz Mayinger,et al.  Measurement of heat transfer at the phase interface of condensing bubbles , 1992 .

[54]  R. Cole Bubble frequencies and departure volumes at subatmospheric pressures , 1967 .

[55]  Shuangquan Shao,et al.  Numerical investigation on onset of significant void during water subcooled flow boiling , 2016 .

[56]  V. I. Tolubinsky,et al.  VAPOUR BUBBLES GROWTH RATE AND HEAT TRANSFER INTENSITY AT SUBCOOLED WATER BOILING , 1970 .

[57]  Eckhard Krepper,et al.  CFD for subcooled flow boiling: Simulation of DEBORA experiments , 2011 .