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Title: Theory of Mach reflection of detonation at glancing incidence

In this paper, we present a theory for Mach reflection of a detonation undergoing glancing incidence reflection off of a rigid wall. Our focus is on condensed-phase explosives, which we describe with a constant adiabatic gamma equation of state and an irreversible and either state-independent or weakly state-dependent reaction rate. We consider two detonation models: (1) the instantaneous reaction heat-release Chapman–Jouguet (CJ) limit and (2) the spatially resolved reaction heat-release Zeldovich–von Neumann–D$$\ddot{Ø}$$ring (ZND) limit, where here we only consider that a small fraction of the detonation energy release is spatially resolved (the SRHR limit). We observe a three-shock reflection in the CJ limit case, with a Mach shock that is curved. In addition, we develop an analytical expression for the triple-point track angle as a function of the angle of incidence. For the SRHR model, we observe a smooth lead shock, akin to von Neumann reflection, with no reflected shock in the reaction zone. Only at larger angles of incidence is a three-shock Mach reflection observed.
Authors:
ORCiD logo [1] ;  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-16-21011
Journal ID: ISSN 0022-1120
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Journal of Fluid Mechanics
Additional Journal Information:
Journal Volume: 811; Journal ID: ISSN 0022-1120
Publisher:
Cambridge University Press
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Detonation Mach Reflection
OSTI Identifier:
1337101

Bdzil, John Bohdan, and Short, Mark. Theory of Mach reflection of detonation at glancing incidence. United States: N. p., Web. doi:10.1017/jfm.2016.745.
Bdzil, John Bohdan, & Short, Mark. Theory of Mach reflection of detonation at glancing incidence. United States. doi:10.1017/jfm.2016.745.
Bdzil, John Bohdan, and Short, Mark. 2016. "Theory of Mach reflection of detonation at glancing incidence". United States. doi:10.1017/jfm.2016.745. https://www.osti.gov/servlets/purl/1337101.
@article{osti_1337101,
title = {Theory of Mach reflection of detonation at glancing incidence},
author = {Bdzil, John Bohdan and Short, Mark},
abstractNote = {In this paper, we present a theory for Mach reflection of a detonation undergoing glancing incidence reflection off of a rigid wall. Our focus is on condensed-phase explosives, which we describe with a constant adiabatic gamma equation of state and an irreversible and either state-independent or weakly state-dependent reaction rate. We consider two detonation models: (1) the instantaneous reaction heat-release Chapman–Jouguet (CJ) limit and (2) the spatially resolved reaction heat-release Zeldovich–von Neumann–D$\ddot{Ø}$ring (ZND) limit, where here we only consider that a small fraction of the detonation energy release is spatially resolved (the SRHR limit). We observe a three-shock reflection in the CJ limit case, with a Mach shock that is curved. In addition, we develop an analytical expression for the triple-point track angle as a function of the angle of incidence. For the SRHR model, we observe a smooth lead shock, akin to von Neumann reflection, with no reflected shock in the reaction zone. Only at larger angles of incidence is a three-shock Mach reflection observed.},
doi = {10.1017/jfm.2016.745},
journal = {Journal of Fluid Mechanics},
number = ,
volume = 811,
place = {United States},
year = {2016},
month = {12}
}