Thermal-fluctuation effects on small-scale statistics in turbulent gas flow
Abstract
Kolmogorov's theory of turbulence assumes that the small-scale turbulent structures in the energy cascade are universal and are determined by the energy dissipation rate and the kinematic viscosity alone. However, thermal fluctuations, absent from the continuum description, terminate the energy cascade near the Kolmogorov length scale. Here, we propose a simple superposition model to account for the effects of thermal fluctuations on small-scale turbulence statistics. Furthermore, for compressible Taylor–Green vortex flow, we demonstrate that the superposition model in conjunction with data from direct numerical simulation of the Navier–Stokes equations yields spectra and structure functions that agree with the corresponding quantities computed from the direct simulation Monte Carlo method of molecular gas dynamics, verifying the importance of thermal fluctuations in the dissipation range.
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)
- OSTI Identifier:
- 2311720
- Alternate Identifier(s):
- OSTI ID: 1908832
- Report Number(s):
- SAND2023-10905J
Journal ID: ISSN 1070-6631
- Grant/Contract Number:
- NA0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Fluids
- Additional Journal Information:
- Journal Volume: 35; Journal Issue: 1; Journal ID: ISSN 1070-6631
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
McMullen, R. M., Torczynski, J. R., and Gallis, M. A. Thermal-fluctuation effects on small-scale statistics in turbulent gas flow. United States: N. p., 2023.
Web. doi:10.1063/5.0134870.
McMullen, R. M., Torczynski, J. R., & Gallis, M. A. Thermal-fluctuation effects on small-scale statistics in turbulent gas flow. United States. https://doi.org/10.1063/5.0134870
McMullen, R. M., Torczynski, J. R., and Gallis, M. A. Wed .
"Thermal-fluctuation effects on small-scale statistics in turbulent gas flow". United States. https://doi.org/10.1063/5.0134870. https://www.osti.gov/servlets/purl/2311720.
@article{osti_2311720,
title = {Thermal-fluctuation effects on small-scale statistics in turbulent gas flow},
author = {McMullen, R. M. and Torczynski, J. R. and Gallis, M. A.},
abstractNote = {Kolmogorov's theory of turbulence assumes that the small-scale turbulent structures in the energy cascade are universal and are determined by the energy dissipation rate and the kinematic viscosity alone. However, thermal fluctuations, absent from the continuum description, terminate the energy cascade near the Kolmogorov length scale. Here, we propose a simple superposition model to account for the effects of thermal fluctuations on small-scale turbulence statistics. Furthermore, for compressible Taylor–Green vortex flow, we demonstrate that the superposition model in conjunction with data from direct numerical simulation of the Navier–Stokes equations yields spectra and structure functions that agree with the corresponding quantities computed from the direct simulation Monte Carlo method of molecular gas dynamics, verifying the importance of thermal fluctuations in the dissipation range.},
doi = {10.1063/5.0134870},
journal = {Physics of Fluids},
number = 1,
volume = 35,
place = {United States},
year = {Wed Jan 11 00:00:00 EST 2023},
month = {Wed Jan 11 00:00:00 EST 2023}
}
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