A unified transition mechanism from shock to detonation waves

TL;DR

This paper develops a comprehensive influence Equation that models the shock-to-detonation transition, incorporating key parameters and validated by simulations, applicable to various detonation scenarios.

Contribution

It introduces a unified influence Equation for shock-to-detonation transition that accounts for chemical, shock, and wall effects, validated through simulations.

Findings

The influence Equation accurately predicts critical transition conditions.

The Equation is validated against numerical simulations.

It applies to both oblique and normal detonation scenarios.

Abstract

The transition of shock-to-detonation is of great significance for the investigation of supernova formation, disaster prevention and supersonic propulsion technology. In this paper, the influence Equation of shock-to-detonation transition is summarized for the oblique detonation problem from aerodynamic analysis. The Equation integrates the effects of parameters such as chemical reaction, shock intensity and wall conditions, which quantitatively explains the physical mechanism of shock-to-detonation transition in the form of mathematical expression. Comparison with numerical simulation results as well as their gradients verified the reliability of the influence Equation. Further, the influence Equation can also be used to predict the critical conditions for the transition from shock to detonation transition form. In addition to oblique detonation, the influence Equation is compatible with the deflagration-to-detonation problem for normal detonation, which shows a wide applicability.