Shock-Induced Flows through Packed Beds: Transient Regimes

TL;DR

This paper investigates the early transient regimes of shock-induced flows in packed beds using a refined resistance law and a closed-form solution, aligning well with experimental data.

Contribution

It introduces a new transient resistance law based on dynamic tortuosity and compressibility, providing an accurate closed-form solution for early flow regimes.

Findings

The refined resistance law improves modeling accuracy.

The closed-form solution aligns qualitatively with experimental data.

The approach enhances understanding of shock-induced flows in packed beds.

Abstract

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.