On the flow characteristics in the shock formation region due to the diaphragm opening process in a shock tube

TL;DR

This paper combines experimental and numerical methods to analyze the influence of diaphragm rupture mechanics on shock wave formation in shock tubes, introducing a new theoretical framework for predicting shock behavior.

Contribution

It presents a comprehensive approach integrating high-speed imaging, pressure measurements, and CFD simulations with a novel theory to better predict shock formation and propagation.

Findings

Diaphragm opening dynamics significantly affect shock uniformity.

The new model accurately predicts shock Mach number evolution.

Quantified shock formation distances and times under various pressures.

Abstract

The shock formation process in shock tubes has been extensively studied; however, significant gaps remain in understanding the effects of the diaphragm rupture process on the resulting flow non-uniformities. Existing models predicting the shock attenuation and propagation dynamics overlook critical diaphragm mechanics and their impact on shock behavior. Addressing this gap is vital for improving predictive capabilities and optimizing shock tube designs for applications in combustion kinetics, aerodynamics, and high-speed diagnostics. This study investigates the shock wave formation and propagation through combined experimental and numerical approaches over a range of driver-to-driven pressure ratios (Driver pressure: 9.4 - 24.2 bar of helium; Driven pressure: 100 Torr of argon). High-speed imaging captures the diaphragm opening dynamics, while pressure and shock velocity measurements along the entire driven section of the shock tube provide key validation data for CFD. Two-dimensional numerical simulations incorporate experimentally measured diaphragm opening profiles, offering detailed insights into flow features and thermodynamic gradients behind the moving shock front. Key parameters, including deceleration and acceleration phases within the shock formation region, shock formation distances, and times, have been quantified. A novel theoretical framework is introduced to correlate these parameters, enabling accurate predictions of shock Mach number evolution under varying conditions. This unified methodology bridges theoretical and experimental gaps, providing a robust foundation for advancing shock tube research and design.