A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface

A numerical method is presented for simulating film boiling on an immersed (or irregularly shaped) solid surface. The level set formulation for tracking the phase interfaces is modified to include the effect of phase change at the liquid–vapor interface and to treat the no-slip condition at the fluid–solid interface. The boundary or matching conditions at the phase interfaces are accurately imposed by incorporating the ghost fluid approach based on a sharp-interface representation. The numerical method is tested through computations of bubble rise in a stationary liquid, single-phase fluid flow past a circular cylinder, and film boiling on a horizontal cylinder.

[1]  L. G. Leal,et al.  Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid , 1984, Journal of Fluid Mechanics.

[2]  G. Son.  A LEVEL SET METHOD FOR INCOMPRESSIBLE TWO-FLUID FLOWS WITH IMMERSED SOLID BOUNDARIES , 2005 .

[3]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[4]  S. Osher,et al.  An improved level set method for incompressible two-phase flows , 1998 .

[5]  B. Fornberg.  A numerical study of steady viscous flow past a circular cylinder , 1980, Journal of Fluid Mechanics.

[6]  Gretar Tryggvason,et al.  Numerical simulation of dendritic solidification with convection: two-dimensional geometry , 2002 .

[7]  Alice Ying,et al.  Numerical Modeling for Multiphase Incompressible Flow with Phase Change , 2005 .

[8]  A Boundary Condition Capturing Method for Multiphase Flow with Phase Change , 2006 .

[9]  John C. Chai,et al.  A Global Mass Correction Scheme for the Level-Set Method , 2006 .

[10]  L. A. Bromley.  Heat Transfer in Stable Film Boiling , 1949 .

[11]  Samuel W. J. Welch,et al.  Local simulation of two-phase flows including interface tracking with mass transfer , 1995 .

[12]  Ming-Jiu Ni,et al.  Direct simulation of falling droplet in a closed channel , 2006 .

[13]  L YoungsD,et al.  Time-dependent multi-material flow with large fluid distortion. , 1982 .

[14]  G. Son,et al.  Numerical Simulation of Film Boiling Near Critical Pressures With a Level Set Method , 1998 .

[15]  S. Osher,et al.  A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows , 1996 .

[16]  Frédéric Gibou,et al.  A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change , 2007, J. Comput. Phys..

[17]  Vijay K. Dhir,et al.  Numerical Simulation of Saturated Film Boiling on a Horizontal Surface , 1997 .

[18]  J. Li,et al.  Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method , 2000 .

[19]  S. Dennis,et al.  Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100 , 1970, Journal of Fluid Mechanics.

[20]  J. Lienhard,et al.  Effects of gravity and size upon film boiling from horizontal cylinders , 1970 .

[21]  James A. Sethian,et al.  The Fast Construction of Extension Velocities in Level Set Methods , 1999 .

[22]  S. Welch,et al.  A Volume of Fluid Based Method for Fluid Flows with Phase Change , 2000 .

[23]  Gretar Tryggvason,et al.  A front tracking method for computations of boiling in complex geometries , 2004 .

[24]  R. Fedkiw,et al.  A boundary condition capturing method for incompressible flame discontinuities , 2001 .

[25]  H. Udaykumar,et al.  Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations , 2005 .

[26]  Li-Tien Cheng,et al.  A second-order-accurate symmetric discretization of the Poisson equation on irregular domains , 2002 .

[27]  D. Juric,et al.  Computations of Boiling Flows , 1998 .

[28]  L. G. Leal,et al.  Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique , 1984, Journal of Fluid Mechanics.

[29]  P. Smereka,et al.  A Remark on Computing Distance Functions , 2000 .

[30]  J. Brock,et al.  Volume tracking of interfaces having surface tension in two and three dimensions , 1996 .

[31]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[32]  Ronald Fedkiw,et al.  A Boundary Condition Capturing Method for Multiphase Incompressible Flow , 2000, J. Sci. Comput..

[33]  S. Osher,et al.  A Non-oscillatory Eulerian Approach to Interfaces in Multimaterial Flows (the Ghost Fluid Method) , 1999 .

[34]  G. Son.  A Numerical Method for Bubble Motion with Phase Change , 2001 .