Calculation of Reaction Profiles behind Steady-State Shock Waves. I. Application to Detonation Waves

Russell E. Duff

The Journal of Chemical Physics · 1958 · 91 citations · 8 references

Concepts

TL;DR

The study builds on Kistiakowsky and Kydd’s 30 mm Hg measurement of detonation wave profiles. The authors present a numerical method that integrates arbitrary kinetic systems under steady‑state shock hydrodynamic constraints. For a 2H₂+O₂+Xe mixture at 30 mm Hg, the computed detonation profile agrees qualitatively with experiment and demonstrates that a frozen‑sound‑speed definition of the Chapman‑Jouguet state is unrealistic.

Abstract

A numerical procedure for the integration of an arbitrary system of kinetic equations subject to the constraints imposed by steady state shock hydrodynamics is described. The detonation profile has been calculated for a 2H2+O2+Xe mixture at an initial pressure of 30 mm Hg. These conditions correspond to those used by Kistiakowsky and Kydd in a measurement of the wave profile. The calculated profile is in qualitative agreement with the measured one. The calculation provides empirical evidence that a frozen sound speed definition of the Chapman-Jouguet state cannot correspond to reality.

References

8