Symmetry of viscous permeability tensor in porous media

Authors

  • C. Perrot GAUS, Department of Mechanical Engineering, Université de Sherbrooke, Que. J1K 2R1, Canada
  • F. Chevillotte GAUS, Department of Mechanical Engineering, Université de Sherbrooke, Que. J1K 2R1, Canada
  • R. Panneton GAUS, Department of Mechanical Engineering, Université de Sherbrooke, Que. J1K 2R1, Canada

Keywords:

Computer simulation, Homogenization method, Microstructure, Optimization, Porous materials, Statistical methods, Saturating fluids, Statistical properties, Viscous permeability

Abstract

The symmetry of the viscous permeability tensor in a porous media is analyzed. The practical importance of this property is that it can be used to assess the validity and accuracy of numerical simulations in the emerging field of bottom-up approaches for microstructure optimization of sound absorbing materials. The statistical properties of the porous frame can be defined in homogenization volumes with dimensions much smaller than the wavelength of the acoustic waves that propagate in the saturating fluid. Viscous permeability tensor is reduced to a constant diagonal element in a plane perpendicular to the axis of a porous material with hexagonal symmetry. This property can be used for error estimation of numerical computation.

Additional Files

Published

2007-09-01

How to Cite

1.
Perrot C, Chevillotte F, Panneton R. Symmetry of viscous permeability tensor in porous media. Canadian Acoustics [Internet]. 2007 Sep. 1 [cited 2026 Apr. 29];35(3):204-5. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/1970

Issue

Vol. 35 No. 3 (2007)

Section

Proceedings of the Acoustics Week in Canada

License

Author Licensing Addendum

This Licensing Addendum ("Addendum") is entered into between the undersigned Author(s) and Canadian Acoustics journal published by the Canadian Acoustical Association (hereinafter referred to as the "Publisher"). The Author(s) and the Publisher agree as follows:

  1. Retained Rights: The Author(s) retain(s) the following rights:

    • The right to reproduce, distribute, and publicly display the Work on the Author's personal website or the website of the Author's institution.
    • The right to use the Work in the Author's teaching activities and presentations.
    • The right to include the Work in a compilation for the Author's personal use, not for sale.

  2. Grant of License: The Author(s) grant(s) to the Publisher a worldwide exclusive license to publish, reproduce, distribute, and display the Work in Canadian Acoustics and any other formats and media deemed appropriate by the Publisher.

  3. Attribution: The Publisher agrees to include proper attribution to the Author(s) in all publications and reproductions of the Work.

  4. No Conflict: This Addendum is intended to be in harmony with, and not in conflict with, the terms and conditions of the original agreement entered into between the Author(s) and the Publisher.

  5. Copyright Clause: Copyright on articles is held by the Author(s). The corresponding Author has the right to grant on behalf of all Authors and does grant on behalf of all Authors, a worldwide exclusive license to the Publisher and its licensees in perpetuity, in all forms, formats, and media (whether known now or created in the future), including but not limited to the rights to publish, reproduce, distribute, display, store, translate, create adaptations, reprints, include within collections, and create summaries, extracts, and/or abstracts of the Contribution.