Fast heat transfer calculations in supercritical fluids versus hydrodynamic approach

Vadim Nikolayev (1, 2, 3) , Anne Dejoan (4, 5, 3) , Yves Garrabos (5, 3) , D Beysens (6, 2, 3)

1 SPEC - UMR3680 - Service de physique de l'état condensé
2 SBT - Service des Basses Températures
3 ESEME : Équipe du Supercritique pour l'Environnement, les Matériaux et l'Espace : Équipe commune CEA-CNRS (2000-2014)
4 CIEMAT - Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
5 ICMCB - Institut de Chimie de la Matière Condensée de Bordeaux
6 PMMH - Physique et mécanique des milieux hétérogenes (UMR 7636)

This study investigates the heat transfer in a simple pure fluid whose temperature is slightly above its critical temperature. We propose a efficient numerical method to predict the heat transfer in such fluids when the gravity can be neglected. The method, based on a simplified thermodynamic approach, is compared with direct numerical simulations of the Navier-Stokes and energy equations performed for CO2 and SF6. A realistic equation of state is used to describe both fluids. The proposed method agrees with the full hydrodynamic solution and provides a huge gain in computation time. The connection between the purely thermodynamic and hydrodynamic descriptions is also discussed.

Domaines: Dynamique des Fluides [physics.flu-dyn]; Mécanique des fluides [physics.class-ph]; Thermique [physics.class-ph]

Vadim Nikolayev, Anne Dejoan, Yves Garrabos, D Beysens. Fast heat transfer calculations in supercritical fluids versus hydrodynamic approach. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2003, ⟨10.1103/PhysRevE.67.061202⟩. ⟨hal-01261616⟩