Weak Detonations Revisited: Uncovering Its General Nature Using Autoignitive Reaction Wave Concept

Fuente: arXiv
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Main Authors: Morii, Youhi, Maruta, Kaoru
Format: Preprint
Published: 2025
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author Morii, Youhi
Maruta, Kaoru
author_facet Morii, Youhi
Maruta, Kaoru
contents Weak detonations have remained experimentally elusive since their theoretical prediction, with previous realization attempts requiring either pathological detonations or Zeldovich spontaneous waves. Here, we demonstrate that stable weak detonations are naturally achieved through supersonic autoignitive reaction waves a recently proposed concept describing inherently stable reaction waves determined by inflow velocity conditions and autoignition characteristics. We establish the mathematical equivalence between autoignitive reaction waves and classical Rayleigh flow, proving that supersonic autoignitive reaction waves are indeed weak detonations. The underlying thermodynamic structure reveals Legendre conjugate variables linking normalized enthalpy and fuel consumption. Unlike previous approaches, our universal realization conditions require only that inlet velocity exceed the Chapman-Jouguet velocity and autoignition criteria be met applicable to any reactive system without specialized chemistry. This framework transforms weak detonations from theoretical curiosities to practically achievable phenomena, opening new possibilities for applications in supersonic combustion systems and astrophysical phenomena.
format Preprint
id arxiv_https___arxiv_org_abs_2507_10022
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Weak Detonations Revisited: Uncovering Its General Nature Using Autoignitive Reaction Wave Concept
Morii, Youhi
Maruta, Kaoru
Fluid Dynamics
Weak detonations have remained experimentally elusive since their theoretical prediction, with previous realization attempts requiring either pathological detonations or Zeldovich spontaneous waves. Here, we demonstrate that stable weak detonations are naturally achieved through supersonic autoignitive reaction waves a recently proposed concept describing inherently stable reaction waves determined by inflow velocity conditions and autoignition characteristics. We establish the mathematical equivalence between autoignitive reaction waves and classical Rayleigh flow, proving that supersonic autoignitive reaction waves are indeed weak detonations. The underlying thermodynamic structure reveals Legendre conjugate variables linking normalized enthalpy and fuel consumption. Unlike previous approaches, our universal realization conditions require only that inlet velocity exceed the Chapman-Jouguet velocity and autoignition criteria be met applicable to any reactive system without specialized chemistry. This framework transforms weak detonations from theoretical curiosities to practically achievable phenomena, opening new possibilities for applications in supersonic combustion systems and astrophysical phenomena.
title Weak Detonations Revisited: Uncovering Its General Nature Using Autoignitive Reaction Wave Concept
topic Fluid Dynamics
url https://arxiv.org/abs/2507.10022