Computation of fast depressurization of water using a two-fluid model: revisiting Bilicki modelling of mass transfer

Hippolyte Lochon (1, 2) , Frédéric Daude (3, 2) , Pascal Galon (4, 3) , Jean-Marc Hérard (1, 2)

1 I2M - Institut de Mathématiques de Marseille
2 EDF - EDF
3 IMSIA - UMR 9219 - Institut des Sciences de la mécanique et Applications industrielles
4 DYN - Laboratoire d'études de DYNamique

This paper is devoted to the computation of the fast depressurization of water using a two-fluid model. Such application, which is extensively studied in the nuclear field, involves many interactions between two phenomena, the mass transfer and the propagation of pressure waves. A simple but physically-based modelling of the mass transfer for the depressurization of water is proposed, which relies on the work of Bilicki & Kestin [4] in the homogeneous frame. Four different experiments have been chosen to assess the proposed model. Three of them study the depressurisation of hot water in a pressurized pipe. The comparison between converged numerical results and the experimental data shows a good agreement and demonstrates the ability of the two-fluid-model to capture the proper mass transfer for a wide range of thermodynamical conditions. The last test-case is the HDR experiment which considers the depressurization of a full-scale vessel under the hypothesis of a Loss Of Coolant Accident. The results of an ALE computation show the ability of the proposed model to retrieve experimental data in both structure and fluid.

Mots clés: Fast depressurization; Mass transfer; Fluid-Structure interactions; Two-phase compressible flows; Two-fluid model; Entropy inequality

Domaines: Mathématiques [math]; Science non linéaire [physics]

Hippolyte Lochon, Frédéric Daude, Pascal Galon, Jean-Marc Hérard. Computation of fast depressurization of water using a two-fluid model: revisiting Bilicki modelling of mass transfer. Computers and Fluids, 2017, 156, pp.162-174. ⟨10.1016/j.compfluid.2017.07.008⟩. ⟨hal-01401816⟩