Computational Fluid Dynamic Simulation of Single Bubble Growth under High-Pressure Pool Boiling Conditions

Abstract Component-scale modeling of boiling is predominantly based on the Eulerian–Eulerian two-fluid approach. Within this framework, wall boiling is accounted for via the Rensselaer Polytechnic Institute (RPI) model and, within this model, the bubble is characterized using three main parameters: departure diameter ( D ), nucleation site density ( N ), and departure frequency ( f ). Typically, the magnitudes of these three parameters are obtained from empirical correlations. However, in recent years, efforts have been directed toward mechanistic modeling of the boiling process. Of the three parameters mentioned above, the departure diameter ( D ) is least affected by the intrinsic uncertainties of the nucleate boiling process. This feature, along with its prominence within the RPI boiling model, has made it the primary candidate for mechanistic modeling ventures. Mechanistic modeling of D is mostly carried out through solving of force balance equations on the bubble. Forces incorporated in these equations are formulated as functions of the radius of the bubble and have been developed for, and applied to, low-pressure conditions only. Conversely, for high-pressure conditions, no mechanistic information is available regarding the growth rates of bubbles and the forces acting on them. In this study, we use direct numerical simulation coupled with an interface tracking method to simulate bubble growth under high (up to 45 bar) pressure, to obtain the kind of mechanistic information required for an RPI-type approach. In this study, we compare the resulting bubble growth rate curves with predictions made with existing experimental data.

[1]  Goon-Cherl Park,et al.  TAPINS: A THERMAL-HYDRAULIC SYSTEM CODE FOR TRANSIENT ANALYSIS OF A FULLY-PASSIVE INTEGRAL PWR , 2013 .

[2]  Kensuke Yokoi,et al.  A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model: Numerical simulations of droplet splashing , 2013, J. Comput. Phys..

[3]  P. Griffith,et al.  The mechanism of heat transfer in nucleate pool boiling—Part I: Bubble initiaton, growth and departure , 1965 .

[4]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[5]  Hiroto Sakashita,et al.  Bubble Growth Rates and Nucleation Site Densities in Saturated Pool Boiling of Water at High Pressures , 2011 .

[6]  Yohei Sato,et al.  A sharp-interface phase change model for a mass-conservative interface tracking method , 2013, J. Comput. Phys..

[7]  L. E. Scriven On the dynamics of phase growth , 1995 .

[8]  N. Zuber,et al.  Growth of a Vapor Bubble in a Superheated Liquid , 1954 .

[9]  Florian Reiterer,et al.  Simulation of single-phase mixing in fuel rod bundles, using an immersed boundary method , 2013 .

[10]  Vijay K. Dhir,et al.  Shape of a vapor stem during nucleate boiling of saturated liquids , 1995 .

[11]  Robert Cole,et al.  Bubble growth rates at high Jakob numbers , 1966 .

[12]  Yohei Sato,et al.  A depletable micro-layer model for nucleate pool boiling , 2015, J. Comput. Phys..

[13]  T. Yabe,et al.  Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique , 2001 .

[14]  Sung Won Bae,et al.  Single bubble growth in saturated pool boiling on a constant wall temperature surface , 2003 .

[15]  C. A. Busse,et al.  Analysis of the heat transfer coefficient of grooved heat pipe evaporator walls , 1992 .

[16]  S. A. Zwick,et al.  THE GROWTH OF VAPOR BUBBLES IN SUPERHEATED LIQUIDS. REPORT NO. 26-6 , 1953 .

[17]  Y. Utaka,et al.  Microlayer structure in nucleate boiling of water and ethanol at atmospheric pressure , 2013 .