Validation of averaged equations for thermal vibrational convection in near-critical fluids

Anatoliy Vorobev (1) , Dimitry Lyubimov (1) , Tanya Lyubimova (2) , Abdelkader Mojtabi (3) , Bernard Zappoli (4)

1 Perm State University
2 ICMM - Institute of Continuous Media Mechanics of the RAS
3 IMFT - Institut de mécanique des fluides de Toulouse
4 CNES - Centre National d’Études Spatiales [Paris]

Within an averaging approach, the governing equations and effective boundary conditions describing both the average and pulsation motion of a near-critical fluid subjected to high-frequency vibrations are obtained. Vibrations induce the non-homogeneities in average temperature. Owing to these non-homogeneities, the average flows can be generated even in isothermal cavity under weightlessness. These flows are examined for 1D and 2D configurations. The direct numerical simulations fulfilled earlier confirm the averaged model, we obtain the same flow structures by essentially smaller requirements for computational time.

Mots clés: Computational fluid mechanics; Thermal vibrational convection; Near-critical fluid; Averaging approach

Domaines: Mécanique des fluides [physics.class-ph]

Anatoliy Vorobev, Dimitry Lyubimov, Tanya Lyubimova, Abdelkader Mojtabi, Bernard Zappoli. Validation of averaged equations for thermal vibrational convection in near-critical fluids. Comptes Rendus Mécanique, 2004, 332 (10), pp.803-809. ⟨10.1016/j.crme.2004.05.003⟩. ⟨hal-01946140⟩