The stability of the contact interface of cylindrical and spherical shock tubes

Crittenden, Paul E.; Balachandar, S.

doi:10.1063/1.5026583

Title: The stability of the contact interface of cylindrical and spherical shock tubes

Journal Article · Tue Jun 05 00:00:00 EDT 2018 · Physics of Fluids

DOI:https://doi.org/10.1063/1.5026583· OSTI ID:1540193

^[1]; Balachandar, S. ^[1]

Univ. of Florida, Gainesville, FL (United States)

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.

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Research Organization:: Univ. of Florida, Gainesville, FL (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0002378

OSTI ID:: 1540193

Alternate ID(s):: OSTI ID: 1440386

Journal Information:: Physics of Fluids, Vol. 30, Issue 6; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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References (24)

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Temperature determination in a shock tube using hydroxyl radical A-X band emission Jo, Sung Min; Shim, Hanseul; Park, Gisu Physics of Fluids, Vol. 31, Issue 2 https://doi.org/10.1063/1.5082240	journal	February 2019

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