U.S. Department of EnergyOffice of Scientific and Technical Information
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 shape of the second shock is not trivial, as it is propagating into air that is not only non-uniform, but also non-stationary. 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 [1] 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. Specifically, 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:
-
- New Mexico Tech, Socorro, NM (United States). Mathematics Dept.; Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- 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:
- Journal Article: 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. https://doi.org/10.1007/s00193-017-0747-3
Duncan-Miller, G. C., and Stone, W. D. 2017.
"Off-center blast in a shocked medium". United States. https://doi.org/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 shape of the second shock is not trivial, as it is propagating into air that is not only non-uniform, but also non-stationary. 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 [1] 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. Specifically, 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},
url = {https://www.osti.gov/biblio/1411607},
journal = {Shock Waves},
issn = {0938-1287},
number = 4,
volume = 28,
place = {United States},
year = {Thu Nov 16 00:00:00 EST 2017},
month = {Thu Nov 16 00:00:00 EST 2017}
}
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