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Title: Shock-driven transition to turbulence: Emergence of power-law scaling

Abstract

Here, we consider two cases of interaction between a planar shock and a cylindrical density interface. In the first case (planar normal shock), the axis of the gas cylinder is parallel to the shock front and baroclinic vorticity deposited by the shock is predominantly two dimensional (directed along the axis of the cylinder). In the second case, the cylinder is tilted, resulting in an oblique shock interaction and a fully-three-dimensional shock-induced vorticity field. Furthermore, the statistical properties of the flow for both cases are analyzed based on images from two orthogonal visualization planes, using structure functions of the intensity maps of fluorescent tracer premixed with heavy gas. And at later times, these structure functions exhibit power-law-like behavior over a considerable range of scales. Manifestation of this behavior is remarkably consistent in terms of dimensionless time τ defined based on Richtmyer's linear theory within the range of Mach numbers from 1.1 to 2.0 and the range of gas cylinder tilt angles with respect to the plane of the shock front (0–30°).

Authors:
 [1];  [1];  [1];  [1];  [1];  [2];  [1];  [1]
  1. Univ. of New Mexico, Albuquerque, NM (United States). Dept. of Mechnical Engineering
  2. Indian Inst. of Technology (IIT), Kanpur (India)
Publication Date:
Research Org.:
Univ. of New Mexico, Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1368386
Alternate Identifier(s):
OSTI ID: 1359984
Grant/Contract Number:
NA0002913; NA-0002913
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 2; Journal Issue: 5; Journal ID: ISSN 2469-990X
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Richtmyer-Meshkov instability; compressible flow

Citation Formats

Olmstead, D., Wayne, P., Simons, D., Trueba Monje, I., Yoo, J. H., Kumar, S., Truman, C. R., and Vorobieff, P.. Shock-driven transition to turbulence: Emergence of power-law scaling. United States: N. p., 2017. Web. doi:10.1103/PhysRevFluids.2.052601.
Olmstead, D., Wayne, P., Simons, D., Trueba Monje, I., Yoo, J. H., Kumar, S., Truman, C. R., & Vorobieff, P.. Shock-driven transition to turbulence: Emergence of power-law scaling. United States. doi:10.1103/PhysRevFluids.2.052601.
Olmstead, D., Wayne, P., Simons, D., Trueba Monje, I., Yoo, J. H., Kumar, S., Truman, C. R., and Vorobieff, P.. Thu . "Shock-driven transition to turbulence: Emergence of power-law scaling". United States. doi:10.1103/PhysRevFluids.2.052601. https://www.osti.gov/servlets/purl/1368386.
@article{osti_1368386,
title = {Shock-driven transition to turbulence: Emergence of power-law scaling},
author = {Olmstead, D. and Wayne, P. and Simons, D. and Trueba Monje, I. and Yoo, J. H. and Kumar, S. and Truman, C. R. and Vorobieff, P.},
abstractNote = {Here, we consider two cases of interaction between a planar shock and a cylindrical density interface. In the first case (planar normal shock), the axis of the gas cylinder is parallel to the shock front and baroclinic vorticity deposited by the shock is predominantly two dimensional (directed along the axis of the cylinder). In the second case, the cylinder is tilted, resulting in an oblique shock interaction and a fully-three-dimensional shock-induced vorticity field. Furthermore, the statistical properties of the flow for both cases are analyzed based on images from two orthogonal visualization planes, using structure functions of the intensity maps of fluorescent tracer premixed with heavy gas. And at later times, these structure functions exhibit power-law-like behavior over a considerable range of scales. Manifestation of this behavior is remarkably consistent in terms of dimensionless time τ defined based on Richtmyer's linear theory within the range of Mach numbers from 1.1 to 2.0 and the range of gas cylinder tilt angles with respect to the plane of the shock front (0–30°).},
doi = {10.1103/PhysRevFluids.2.052601},
journal = {Physical Review Fluids},
number = 5,
volume = 2,
place = {United States},
year = {Thu May 25 00:00:00 EDT 2017},
month = {Thu May 25 00:00:00 EDT 2017}
}

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