Modelling wave dispersion in fluid saturating periodic scaffolds
作者：
Highlights：
• Derived homogenized models governing acoustic waves in rigid periodic scaffolds perfused by permanent flows.
• Both viscous (Newtonian) and inviscid (acoustic) barotropic fluids are considered.
• The advection terms in the Navier–Stokes equations are treated using the acoustic linearization.
• A modified Darcy law derived by the homogenization involves a nonsymmetric permeability due to the advection.
• The Floquet-Bloch theory was applied to study the wave dispersion, quadratic eigenvalue problems solved.
摘要
•Derived homogenized models governing acoustic waves in rigid periodic scaffolds perfused by permanent flows.•Both viscous (Newtonian) and inviscid (acoustic) barotropic fluids are considered.•The advection terms in the Navier–Stokes equations are treated using the acoustic linearization.•A modified Darcy law derived by the homogenization involves a nonsymmetric permeability due to the advection.•The Floquet-Bloch theory was applied to study the wave dispersion, quadratic eigenvalue problems solved.
论文关键词：Homogenization,Navier–Stokes equations,Porous media,Acoustic waves,Floquet-Bloch wave decomposition,Wave dispersion
论文评审过程：Received 21 February 2020, Revised 19 March 2021, Accepted 27 March 2021, Available online 16 May 2021, Version of Record 3 August 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126256
