The stability of the contact interface of cylindrical and spherical shock tubes
Abstract
The stability of the contact interface for radial shock tubes is investigated as a model for explosive dispersal. The advection upstream splitting method with velocity and pressure diffusion (AUSM+-up) is used to solve for the radial base flow. To explore the stability of the resulting contact interface, perturbed governing equations are derived assuming harmonic modes in the transverse directions. The perturbed harmonic flow is solved by assuming an initial disturbance and using a perturbed version of AUSM+-up derived in this paper. The intensity of the perturbation near the contact interface is computed and compared to theoretical results obtained by others. Despite the simplifying assumptions of the theoretical analysis, very good agreement is confirmed. Not only can the magnitude of the instability be predicted during the initial expansion, but also remarkably the agreement between the numerical and theoretical results can be maintained through the collision between the secondary shock and the contact interface. Since the theoretical results only depend upon the time evolution of the base flow, the stability of various modes could be quickly studied without explicitly solving a system of partial differential equations for the perturbed flow.
- Publication Date:
- Research Org.:
- Univ. of Florida, Gainesville, FL (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1540193
- Alternate Identifier(s):
- OSTI ID: 1440386
- Grant/Contract Number:
- NA0002378
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Fluids
- Additional Journal Information:
- Journal Volume: 30; Journal Issue: 6; Journal ID: ISSN 1070-6631
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Crittenden, Paul E., and Balachandar, S. The stability of the contact interface of cylindrical and spherical shock tubes. United States: N. p., 2018.
Web. doi:10.1063/1.5026583.
Crittenden, Paul E., & Balachandar, S. The stability of the contact interface of cylindrical and spherical shock tubes. United States. https://doi.org/10.1063/1.5026583
Crittenden, Paul E., and Balachandar, S. Tue .
"The stability of the contact interface of cylindrical and spherical shock tubes". United States. https://doi.org/10.1063/1.5026583. https://www.osti.gov/servlets/purl/1540193.
@article{osti_1540193,
title = {The stability of the contact interface of cylindrical and spherical shock tubes},
author = {Crittenden, Paul E. and Balachandar, S.},
abstractNote = {The stability of the contact interface for radial shock tubes is investigated as a model for explosive dispersal. The advection upstream splitting method with velocity and pressure diffusion (AUSM+-up) is used to solve for the radial base flow. To explore the stability of the resulting contact interface, perturbed governing equations are derived assuming harmonic modes in the transverse directions. The perturbed harmonic flow is solved by assuming an initial disturbance and using a perturbed version of AUSM+-up derived in this paper. The intensity of the perturbation near the contact interface is computed and compared to theoretical results obtained by others. Despite the simplifying assumptions of the theoretical analysis, very good agreement is confirmed. Not only can the magnitude of the instability be predicted during the initial expansion, but also remarkably the agreement between the numerical and theoretical results can be maintained through the collision between the secondary shock and the contact interface. Since the theoretical results only depend upon the time evolution of the base flow, the stability of various modes could be quickly studied without explicitly solving a system of partial differential equations for the perturbed flow.},
doi = {10.1063/1.5026583},
journal = {Physics of Fluids},
number = 6,
volume = 30,
place = {United States},
year = {Tue Jun 05 00:00:00 EDT 2018},
month = {Tue Jun 05 00:00:00 EDT 2018}
}
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Works referencing / citing this record:
Temperature determination in a shock tube using hydroxyl radical A-X band emission
journal, February 2019
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- Physics of Fluids, Vol. 31, Issue 2