Homogenization and Floquet-Bloch wave decomposition

We consider acoustic wave propagation in periodic scaffolds perfused by Newtonian or inviscid fluids. To analyze the wave dispersion, two approaches are examined: the periodic homogenization (PH) and the Floquet-Bloch wave decomposition (FB). The dispersion analysis using the FB approach captures band gap behaviour. The PH-based analysis is pursued for viscous flows. Dispersion effects influenced by the fluid advection are illustrated for different fluids