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Boiling flow simulations on adaptive octree grids
Affiliation:1. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow 119333, Russian Federation;2. Department of Mathematics, University of Houston, Houston, TX 77204-3008, United States;1. RS2N, Bastidon de la Caou, 13360 Roquevaire, France;2. University Institute of France, CNRS, IUSTI, 5 rue E. Fermi, 13453 Marseille Cedex 13, France;3. Aix-Marseille University, CNRS, IUSTI, 5 rue E. Fermi, 13453 Marseille Cedex 13, France;4. University of Nice, LJAD UMR CNRS 7351, Parc Valrose, 06108 Nice Cedex, France;1. Department of Food Science, Purdue University, 745 Agriculture Mall Drive, West Lafayette, IN 47907, USA;2. Department of Chemical Engineering, University of Bath, Building 9 West, Bath BA2 7AY, UK;1. Department of Mechanical Engineering, Iowa State University, Ames, IA 50010, USA;2. Department of Mathematics, Iowa State University, Ames, IA 50010, USA;3. School of Computing, The University of Utah, Salt Lake City, UT 84112, USA
Abstract:Boiling flow simulations are conducted on adaptive octree grids. A phase change model consistent with the mixture formulation, in conjunction with the Volume-of-Fluid (VOF) model, is used to track the liquid–vapor interface. Test cases including Rayleigh Taylor instability and bubble growth in a uniform superheat are conducted to validate the phase change model on adaptive grids. The validated model is then used to conduct film boiling simulations on both two-dimensional and three-dimensional adaptive grids. The average wall Nusselt number agrees well with the widely accepted correlations of Berenson (1961) and Klimenko (1981) and Klimenko and Shelepen (1982) for film boiling on a horizontal surface. For the test cases presented, the efficiency of the adaptive technique, as measured by the adaptive mesh refinement (AMR) efficiency, is mostly in the range of 50–80%. Although this efficiency is a function of the nature and dimensionality of the problem, this range of efficiency is comparable to those obtained in the simulations of primary jet atomization conducted by Fuster et al. (2009). This work opens the prospect of conducting more realistic (three-dimensional) multi-modal boiling flow simulations, and problems of similar complexity, in an efficient manner.
Keywords:Boiling flows  Octree grids  Volume-of-Fluid  Phase change  Bubble growth rates  Film boiling  AMR efficiency
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