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Theory of Mach reflection of detonation at glancing incidence

Published online by Cambridge University Press:  06 December 2016

John B. Bdzil Open the ORCID record for John B. Bdzil [Opens in a new window]  and
Mark Short
John B. Bdzil*
Affiliation:
Shock and Detonation Physics Group, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
Mark Short
Affiliation:
Shock and Detonation Physics Group, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
*
†Email address for correspondence: [email protected]
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Abstract

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–Dø̈ring (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. 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.

JFM classification

Compressible Flows: Compressible Flows Compressible Flows: Detonation waves Aerodynamics: High-speed flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 811 , 25 January 2017 , pp. 269 - 314
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Copyright
© 2016 Cambridge University Press 

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