On the bubble departure diameter and release frequency based on numerical simulation results

Abstract Heterogeneous boiling on a horizontal plate in stagnant and slowly flowing fluid is simulated using the lattice Boltzmann approach. The bubble departure diameter and release frequency are determined from the simulation results. It is found that the bubble departure diameter is proportional to g−1/2 in a stagnant fluid and the release frequency scales with g3/4, where g is the gravitational acceleration. Simulation results show no dependence between the bubble departure diameter and the static contact angle, but the bubble release frequency increases exponentially with the latter. Considering forced boiling, exponential relation is observed between the bubble departure diameter and the flow driving pressure gradient.

[1]  S. Kandlikar,et al.  A Control Volume Approach for Investigating Forces on a Departing Bubble Under Subcooled Flow Boiling , 1995 .

[2]  Peter Stephan,et al.  A transient nucleate boiling model including microscale effects and wall heat transfer , 2006 .

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

[4]  V. Dhir Numerical Simulations of Pool-Boiling Heat Transfer , 2001 .

[5]  Chong-fang Ma,et al.  Study on bubble dynamics for pool nucleate boiling , 2000 .

[6]  Diana Caraghiaur,et al.  Review of Available Data for Validation of Nuresim Two-Phase CFD Software Applied to CHF Investigations , 2009 .

[7]  M. El-Genk,et al.  Liquid microlayer evaporation during nucleate boiling on the surface of a flat composite wall , 1994 .

[8]  Q. Zou,et al.  On pressure and velocity boundary conditions for the lattice Boltzmann BGK model , 1995, comp-gas/9611001.

[9]  Dani Or,et al.  Lattice Boltzmann method for homogeneous and heterogeneous cavitation. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Peter C. Wayner,et al.  Use of the Kelvin-Clapeyron Equation to Model an Evaporating Curved Microfilm , 1994 .

[11]  A. K. Chesters An analytical solution for the profile and volume of a small drop or bubble symmetrical about a vertical axis , 1976, Journal of Fluid Mechanics.

[12]  G. Son,et al.  Dynamics and Heat Transfer Associated With a Single Bubble During Nucleate Boiling on a Horizontal Surface , 1999 .

[13]  J. E. Nydahl,et al.  Numerical Calculation of Bubble Growth in Nucleate Boiling From Inception Through Departure , 1989 .

[14]  B. Webbon,et al.  Dynamics of vapour bubbles in nucleate boiling , 1996 .

[15]  Renwei Mei,et al.  Vapor bubble growth in heterogeneous boiling. I: Formulation , 1995 .

[16]  Renwei Mei,et al.  Vapor bubble growth in heterogeneous boiling II. Growth rate and thermal fields , 1995 .

[17]  Peter V Coveney,et al.  Lattice Boltzmann study of spinodal decomposition in two dimensions. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  R. Qin Bubble formation in lattice Boltzmann immiscible shear flow. , 2007, The Journal of chemical physics.

[19]  M. Kim,et al.  On the departure behaviors of bubble at nucleate pool boiling , 2006 .

[20]  Chen,et al.  Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  Gábor Házi,et al.  On the cubic velocity deviations in lattice Boltzmann methods , 2006 .

[22]  J. Straub,et al.  The origin of thermocapillary convection in subcooled nucleate pool boiling , 2001 .

[23]  H. Merte,et al.  Hemispherical vapor bubble growth in microgravity: experiments and model , 1996 .

[24]  G. Son,et al.  Numerical Simulation of Bubble Merger Process on a Single Nucleation Site During Pool Nucleate Boiling , 2002 .

[25]  V. Dhir Mechanistic Prediction of Nucleate Boiling Heat Transfer-Achievable or a Hopeless Task? , 2006 .

[26]  G. Házi,et al.  Modeling heat transfer in supercritical fluid using the lattice Boltzmann method. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  Mark E. Steinke,et al.  Contact angles and interface behavior during rapid evaporation of liquid on a heated surface , 2002 .

[28]  T. Inamuro,et al.  A lattice Boltzmann method for incompressible two-phase flows with large density differences , 2004 .

[29]  R. Webb,et al.  A transient micro-convection model of nucleate pool boiling , 1997 .

[30]  Ioannis G. Kevrekidis,et al.  Bubble flow simulations with the lattice Boltzmann method , 1999 .

[31]  S. Welch Direct simulation of vapor bubble growth , 1998 .

[32]  Takaji Inamuro,et al.  Numerical simulation of bubble flows by the lattice Boltzmann method , 2004, Future Gener. Comput. Syst..

[33]  Ioannis G. Kevrekidis,et al.  Analysis of drag and virtual mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method , 2002, Journal of Fluid Mechanics.

[34]  Samuel W. J. Welch,et al.  Planar Simulation of Bubble Growth in Film Boiling in Near-Critical Water Using a Variant of the VOF Method , 2004 .

[35]  R. Darby The dynamics of vapour bubbles in nucleate boiling , 1964 .

[36]  Shan,et al.  Lattice Boltzmann model for simulating flows with multiple phases and components. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[37]  V. Dhir,et al.  Study of Lateral Merger of Vapor Bubbles During Nucleate Pool Boiling In the present work the bubble dynamics and heat transfer associated with lateral bubble , 2004 .

[38]  Rajinder Kumar,et al.  Prediction of bubble growth rates and departure volumes in nucleate boiling at isolated sites , 1984 .

[39]  Qisu Zou,et al.  N ov 1 99 6 On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK model , 2008 .

[40]  Patricia Arlabosse,et al.  Experimental analysis of the heat transfer induced by thermocapillary convection around a bubble , 2000 .

[41]  van Wgj Wim Helden,et al.  Forces on bubbles growing and detaching in flow along a vertical wall , 1995 .

[42]  Abhijit Mukherjee,et al.  Numerical study of single bubbles with dynamic contact angle during nucleate pool boiling , 2007 .

[43]  Matthaeus,et al.  Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[44]  Xiaolong Yin,et al.  Lattice-Boltzmann method for simulating spherical bubbles with no tangential stress boundary conditions. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[45]  Ching-Long Lin,et al.  Lattice Boltzmann Study of Bubble Dynamics , 2006 .

[46]  Vijay K. Dhir,et al.  Interfacial heat transfer during subcooled flow boiling , 2002 .