Two-phase flows in porous media: Prediction of pressure drops using a diffuse interface mathematical description

F. Fichot, P. Meekunnasombat, J. Belloni, F. Duval, A. Garcia, M. Quintard

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


In the framework of its research programme on severe nuclear reactor accidents, the Institut de Radioprotection et de Sûreté Nucléaire (IRSN) investigates the water flooding of an overheated porous bed, where complex two-phase flows are likely to exist. A better understanding of the flow at the pore level appears to be necessary in order to justify and improve closure laws of macroscopic models. To investigate the local features of a two-phase flow in complex geometries, two alternative ways are available: experiments with high accuracy local measurements or direct numerical simulation (DNS) of the flows in small-scale volumes. Within the framework of the second gradient theory, diffuse interface models can be derived for both single-component and binary fluids. The latter model is often referred to as the Cahn-Hilliard model. In this paper, the Cahn-Hilliard model is used to simulate immiscible two-phase flows in a representative geometry of a particle bed. The results are used to characterize the configuration of the phases and possible flow regimes as a function of the saturation. Correlations for the relative permeabilities of each phase as a function of saturation are also presented. The results are discussed and compared with classical correlations.

Original languageEnglish (US)
Pages (from-to)1887-1898
Number of pages12
JournalNuclear Engineering and Design
Issue number15-17 SPEC. ISS.
StatePublished - Sep 1 2007

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Nuclear Energy and Engineering
  • Materials Science(all)
  • Safety, Risk, Reliability and Quality
  • Waste Management and Disposal
  • Mechanical Engineering


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