Symmetry of Viscous Permeability Tensor in Porous Media
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چکیده
This paper reports parts of recent simulation results [1] carried out in order to illustrate a rather theoretical and somewhat non intuitive property of the viscous permeability tensor in porous media: considering periodic porous structures in the long wavelength limit, even if the structure is anisotropic, its acoustical properties will remain isotropic, i.e. : the velocity fields are qualitatively different in principal directions of a porous structure showing different local arrangements to an incident acoustic wave; however, they remain identical on average. 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. This paper is organized as follows. In Sec. 2 the basic equations used to describe the physical properties of a porous material are presented at the macroscale of day-to-day engineering applications. In Sec. 3 a short description of the permeability tensor symmetry property is given from the standpoint of the equations governing the physics at the pore scale, i.e. microscale. In Sec. 4, numerical results in porous structures with hexagonal symmetry are presented to illustrate the previous property. Good agreement between theory and numerical experiment is found.
منابع مشابه
Symmetry of the viscous permeability tensor in porous media
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تاریخ انتشار 2013