Journal
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
Volume 35, Issue 4, Pages 539-551Publisher
SPRINGER
DOI: 10.1007/s00162-021-00572-0
Keywords
Point-particles; Euler-Lagrange; Two-way coupling; Momentum coupling; Thermal coupling
Categories
Funding
- United States Department of Energy through the Predictive Science Academic Alliance Program 2 at Stanford University [DE-NA0002373]
- U.S. Department of Energy by Lawrence Livermore National Laboratory [DE-AC52-07NA27344]
- Lawrence Livermore National Security, LLC [LLNL-JRNL-799523]
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This work establishes a procedure to accurately compute heat transfer between an Eulerian fluid and Lagrangian point-particles, by estimating the undisturbed fluid temperature to achieve thermal coupling. The authors developed a scheme to accurately estimate the undisturbed fluid temperature of point-particles exchanging thermal energy with surrounding fluid and conducted extensive verification of the correction procedure.
This work establishes a procedure to accurately compute heat transfer between an Eulerian fluid and Lagrangian point-particles. Recent work has focused on accurately computing momentum transfer between fluid and particles. The coupling term for momentum involves the undisturbed fluid velocity at the particle location which is not directly accessible in the simulation. Analogously, in the context of thermal coupling, the undisturbed fluid temperature at the particle location is not directly accessible in simulations and must be estimated. In this paper, we develop a scheme to accurately estimate the undisturbed fluid temperature of a point-particle exchanging thermal energy with a surrounding fluid. The temperature disturbance is correlated with the enhanced temperature curvature in the vicinity of the particle and is formally valid in the low heating, low convection limit. We conduct extensive verification of the correction procedure for a settling particle subject to radiation. This setup allows the simultaneous testing of thermal and momentum corrections. By considering equations of drag and Nusselt number extended to finite Peclet and Boussinesq numbers, we establish a large range over which the correction procedure can be applied.
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