Summary
A continuous model for the non-isothermal flow in a non-isotropic porous medium is presented and a mechanical dispersion model is proposed. An experimental device is set up in order to measure the permeability and mechanical dispersion components in a typical transversely isotropic cubic block consisting of polymeric needles. Finally, a micro-macro model for the flow of a Newtonian fluid in a porous medium is developed. The micro-model consists of a geometrical network of connectors and junctions. Integration and assembly of the equations provides a macroscopic model which obeys the Darcy or Forchheimer model depending on the dimensionless flow rate. Some peculiarities of the Brinkman model are addressed.
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Loix, F., Thibaut, V., Dupret, F. (2007). Modelling of Permeability and Mechanical Dispersion in a Porous Medium and Comparison with Experimental Measurements. In: Advanced Methods in Material Forming. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69845-0_5
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DOI: https://doi.org/10.1007/3-540-69845-0_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69844-9
Online ISBN: 978-3-540-69845-6
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