Rapid distortion analysis of high speed homogeneous turbulence subject to periodic shear
Abstract
The effect of unsteady shear forcing on small perturbation growth in compressible flow is investigated. In particular, flow-thermodynamic field interaction and the resulting effect on the phase-lag between applied shear and Reynolds stress are examined. Simplified linear analysis of the perturbation pressure equation reveals crucial differences between steady and unsteady shear effects. The analytical findings are validated with numerical simulations of inviscid rapid distortion theory (RDT) equations. In contrast to steadily sheared compressible flows, perturbations in the unsteady (periodic) forcing case do not experience an asymptotic growth phase. Further, the resonance growth phenomenon found in incompressible unsteady shear turbulence is absent in the compressible case. Overall, the stabilizing influence of both unsteadiness and compressibility is compounded leading to suppression of all small perturbations. As a result, the underlying mechanisms are explained.
- Authors:
-
- Texas A & M Univ., College Station, TX (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- AFOSR, NASA; USDOE
- OSTI Identifier:
- 1304829
- Report Number(s):
- LA-UR-15-28559
Journal ID: ISSN 1070-6631; PHFLE6
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Fluids (1994)
- Additional Journal Information:
- Journal Name: Physics of Fluids (1994); Journal Volume: 27; Journal Issue: 12; Journal ID: ISSN 1070-6631
- Publisher:
- American Institute of Physics
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; compressible; turbulence; homogeneous shear; shear flows; Mach numbers; compressible flows; Reynolds stress modeling; flow instabilities
Citation Formats
Bertsch, Rebecca L., and Girimaji, Sharath S. Rapid distortion analysis of high speed homogeneous turbulence subject to periodic shear. United States: N. p., 2015.
Web. doi:10.1063/1.4937954.
Bertsch, Rebecca L., & Girimaji, Sharath S. Rapid distortion analysis of high speed homogeneous turbulence subject to periodic shear. United States. https://doi.org/10.1063/1.4937954
Bertsch, Rebecca L., and Girimaji, Sharath S. Wed .
"Rapid distortion analysis of high speed homogeneous turbulence subject to periodic shear". United States. https://doi.org/10.1063/1.4937954. https://www.osti.gov/servlets/purl/1304829.
@article{osti_1304829,
title = {Rapid distortion analysis of high speed homogeneous turbulence subject to periodic shear},
author = {Bertsch, Rebecca L. and Girimaji, Sharath S.},
abstractNote = {The effect of unsteady shear forcing on small perturbation growth in compressible flow is investigated. In particular, flow-thermodynamic field interaction and the resulting effect on the phase-lag between applied shear and Reynolds stress are examined. Simplified linear analysis of the perturbation pressure equation reveals crucial differences between steady and unsteady shear effects. The analytical findings are validated with numerical simulations of inviscid rapid distortion theory (RDT) equations. In contrast to steadily sheared compressible flows, perturbations in the unsteady (periodic) forcing case do not experience an asymptotic growth phase. Further, the resonance growth phenomenon found in incompressible unsteady shear turbulence is absent in the compressible case. Overall, the stabilizing influence of both unsteadiness and compressibility is compounded leading to suppression of all small perturbations. As a result, the underlying mechanisms are explained.},
doi = {10.1063/1.4937954},
journal = {Physics of Fluids (1994)},
number = 12,
volume = 27,
place = {United States},
year = {Wed Dec 30 00:00:00 EST 2015},
month = {Wed Dec 30 00:00:00 EST 2015}
}
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