A Velocity-Entropy Invariance theorem for the Chapman-Jouguet detonation - École nationale supérieure de mécanique et d’aérotechnique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

A Velocity-Entropy Invariance theorem for the Chapman-Jouguet detonation

Pierre Vidal
  • Fonction : Auteur
  • PersonId : 1075769
Ratiba Zitoun
  • Fonction : Auteur
  • PersonId : 1075770

Résumé

The velocity and the specific entropy of the Chapman-Jouguet (CJ) equilibrium detonation in a homogeneous explosive are shown to be invariant under the same variations of the initial pressure and temperature. The CJ state and isentrope can then be defined from the CJ velocity or, conversely, the CJ velocity from one CJ variable, without equation of state for detonation products. For gaseous explosives, comparison to calculations with detailed chemical equilibrium shows agreement to within O(0.1)%. However, the CJ pressures of four carbonate liquid explosives are found about 20 % larger than measured values: the CJ-equilibrium model appears not to apply to condensed carbonate explosives, which supports a former conclusion by Davis, Craig and Ramsay, although for the opposite reason. A simple hydrodynamic criterion for assessing the representativeness of this CJ model is thus proposed, which nevertheless cannot determine which of its assumptions may not be satisfied, namely CJ equilibrium, single-phase fluid, and laminar flow. This invariance might be an illustration of a general feature of hyperbolic systems and their characteristic surfaces.
Fichier principal
Vignette du fichier
Vidal_Zitoun_DSI_HAL_2020.pdf (1.67 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02917535 , version 1 (19-08-2020)
hal-02917535 , version 2 (16-11-2020)
hal-02917535 , version 3 (31-12-2020)
hal-02917535 , version 4 (25-05-2021)
hal-02917535 , version 5 (24-05-2024)

Identifiants

  • HAL Id : hal-02917535 , version 1

Citer

Pierre Vidal, Ratiba Zitoun. A Velocity-Entropy Invariance theorem for the Chapman-Jouguet detonation: Obsolete version. See latest version at: https://hal.archives-ouvertes.fr/hal-02917535v4 or https://arxiv.org/abs/2006.12533v5. 2020. ⟨hal-02917535v1⟩
975 Consultations
345 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More