%0 Journal Article %T Shock-Induced Flows through Packed Beds: Transient Regimes %A Yuri M. Shtemler %A Isaac R. Shreiber %A Alex Britan %J Physics %D 2007 %I arXiv %X The early stage of the transient regimes in the shock-induced flows within solid-packed beds are investigated in the linear longwave and high-frequency approximation. The transient resistance law is refined as the Duhameltime integral that follows from the general concept of dynamic tortuosity and compressibility of the packed beds. A closed-form solution is expected to describe accurately the early stage of the transient regime flow and is in qualitative agreement with available experimental data. %U http://arxiv.org/abs/0710.2921v1