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.
https://hal-upec-upem.archives-ouvertes.fr/hal-00816954 Contributor : Camille PerrotConnect in order to contact the contributor Submitted on : Tuesday, April 23, 2013 - 1:41:09 PM Last modification on : Wednesday, February 10, 2021 - 10:32:07 AM Long-term archiving on: : Thursday, July 25, 2013 - 11:25:41 AM
Camille Perrot, F. Chevillotte, R. Panneton. Symmetry of the viscous permeability tensor in porous media. CAA 2007 - Acoustic Week in Canada, Oct 2007, Montréal, Canada. pp.2004. ⟨hal-00816954⟩