A three-dimensional numerical model for determining the pressure drops in porous media consisting of obstacles of different sizes

Y. Fumoto, R. Liu, Y. Sano, X. Huang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A three-dimensional numerical model is proposed to determine the pressure drops in porous media consisting of obstacles of different sizes. A series of full three-dimensional numerical calculations were performed to reveal complex three-dimensional velocity and pressure fields within three-dimensional porous structures consisting of spheres of different sizes. These numerical results are processed to obtain the macroscopic pressure gradients. An effective diameter concept has been proposed to correlate the resulting macroscopic pressure gradients with the Ergun equation. The most appropriate definition of the effective diameter has been found such that it, when substituted in the Ergun formula, gives the most reasonable estimate on the pressure drop for the given porosity and diameter distribution.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalOpen Transport Phenomena Journal
Volume4
Issue number1
DOIs
Publication statusPublished - Apr 12 2012

Keywords

  • Ergun equation
  • Numerical simulation
  • Permeability
  • Pressure drop

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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