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Title: Off-center blast in a shocked medium

Abstract

When multiple blasts occur at different times, the situation arises in which a blast wave is propagating into a medium that has already been shocked. Determining the evolution in the shape of the second shock is not trivial, as it is propagating into air that is not only non-uniform, but also non-stationary. In order to accomplish this task, we employ the method of Kompaneets to determine the shape of a shock in a non-uniform media. We also draw from the work of Korycansky (Astrophys J 398:184–189. https://doi.org/10.1086/171847, 1992) on an off-center explosion in a medium with radially varying density. Extending this to treat non-stationary flow, and making use of approximations to the Sedov solution for the point blast problem, we are able to determine an analytic expression for the evolving shape of the second shock. Particularly, we consider the case of a shock in air at standard ambient temperature and pressure, with the second shock occurring shortly after the original blast wave reaches it, as in a sympathetic detonation.

Authors:
 [1];  [2]
  1. New Mexico Tech, Socorro, NM (United States). Mathematics Dept.; Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1411607
Alternate Identifier(s):
OSTI ID: 1333807; OSTI ID: 1411601
Report Number(s):
SAND-2017-6941J; SAND-2016-8212J; SAND-2017-3197J
Journal ID: ISSN 0938-1287; PII: 747; TRN: US1800246
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Shock Waves
Additional Journal Information:
Journal Volume: 28; Journal Issue: 4; Journal ID: ISSN 0938-1287
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; blast waves; kompaneets equation; korycansky solution; multiple burst; shock front

Citation Formats

Duncan-Miller, G. C., and Stone, W. D. Off-center blast in a shocked medium. United States: N. p., 2017. Web. doi:10.1007/s00193-017-0747-3.
Duncan-Miller, G. C., & Stone, W. D. Off-center blast in a shocked medium. United States. doi:10.1007/s00193-017-0747-3.
Duncan-Miller, G. C., and Stone, W. D. Thu . "Off-center blast in a shocked medium". United States. doi:10.1007/s00193-017-0747-3. https://www.osti.gov/servlets/purl/1411607.
@article{osti_1411607,
title = {Off-center blast in a shocked medium},
author = {Duncan-Miller, G. C. and Stone, W. D.},
abstractNote = {When multiple blasts occur at different times, the situation arises in which a blast wave is propagating into a medium that has already been shocked. Determining the evolution in the shape of the second shock is not trivial, as it is propagating into air that is not only non-uniform, but also non-stationary. In order to accomplish this task, we employ the method of Kompaneets to determine the shape of a shock in a non-uniform media. We also draw from the work of Korycansky (Astrophys J 398:184–189. https://doi.org/10.1086/171847, 1992) on an off-center explosion in a medium with radially varying density. Extending this to treat non-stationary flow, and making use of approximations to the Sedov solution for the point blast problem, we are able to determine an analytic expression for the evolving shape of the second shock. Particularly, we consider the case of a shock in air at standard ambient temperature and pressure, with the second shock occurring shortly after the original blast wave reaches it, as in a sympathetic detonation.},
doi = {10.1007/s00193-017-0747-3},
journal = {Shock Waves},
number = 4,
volume = 28,
place = {United States},
year = {2017},
month = {11}
}

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Works referenced in this record:

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