Development of a general approach for predicting the pressure fields of unsteady gas flows through granular media

A. Britan, G. Ben-Dor, O. Igra, H. Shapiro

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9 Scopus citations


Two approaches for treating the shock-induced gas filtration, namely, a solution of the complete system of the conservation equations, and a solution of a simplified version of the conservation equations, which was originally proposed by Morrison [Ind. Eng. Chem. Fundam. 11, 191 (1972); Trans. ASME J. Fluids Eng. 8, 567 (1976); Trans. ASME J. Fluids Eng. 12, 779 (1977)] are examined and analyzed. The capability of these approaches in accurately simulating the dynamic parameters of the gas filtration process through granular columns is investigated. A simple and practical reconstruction method of the gas pressure history inside long granular columns is proposed and verified experimentally by shock tube data with rather long (2.5 m) granular columns, which was obtained in the course of the present study. Several important features based on Morrison's simplified approaches are demonstrated. Applying a dimensional analysis to the complete system of the governing equations resulted in a dimensionless presentation of the pressure histories. Similarly, the pressure signals at the shock-tube end wall, for granular samples of different geometrical characteristics, are demonstrated. As a result, experiments with a large variety of the geometrical and physical parameters of the granular material, which have been conducted at various laboratories, are now numerically predicted by one general numerical code.

Original languageEnglish
Article number093519
JournalJournal of Applied Physics
Issue number9
StatePublished - 1 May 2006

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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