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Title: Molecular-gas-dynamics simulations of turbulent Couette flow over a mean-free-path-scale permeable substrate

Abstract

Here we report flow statistics and visualizations from molecular-gas-dynamics simulations using the direct simulation Monte Carlo (DSMC) method for turbulent Couette flow in a minimal domain where the lower wall is replaced by an idealized permeable fibrous substrate representative of thermal-protection-system materials for which the Knudsen number is O(10-1). Comparisons are made with smooth-wall DSMC simulations and smooth-wall direct numerical simulations (DNS) of the Navier-Stokes equations for the same conditions. Roughness, permeability, and noncontinuum effects are assessed. In the range of Reynolds numbers considered herein, the scalings of the skin friction on the permeable substrate and of the mean flow within the substrate suggest that they are dominated by viscous effects. While the regenerative cycle characteristic of smooth-wall turbulence remains intact for all cases considered, we observe that the near-wall velocity fluctuations are modulated by the permeable substrate with a wavelength equal to the pore spacing. Additionally, the flow within the substrate shows significant rarefaction effects, resulting in an apparent permeability that is 13% larger than the intrinsic permeability. In contrast, the smooth-wall DSMC and DNS simulations exhibit remarkably good agreement for the statistics examined, despite the Knudsen number based on the viscous length scale being as large as O(10-1).more » This latter result is at variance with classical estimates for the breakdown of the continuum assumption and calls for further investigations into the interaction of noncontinuum effects and turbulence.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [1]
+ Show Author Affiliations
  1. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States). Engineering Sciences Center
  2. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States). Center for Computing Research
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
2311668
Report Number(s):
SAND-2023-08640J
Journal ID: ISSN 2469-990X
Grant/Contract Number:  
NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Fluids (Online)
Additional Journal Information:
Journal Name: Physical Review Fluids (Online); Journal Volume: 8; Journal Issue: 8; Journal ID: ISSN 2469-990X
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; molecular dynamics; noncontinuum effects; porous media; turbulence

Citation Formats

McMullen, Ryan Michael, Krygier, Michael C., Torczynski, John R., and Gallis, Michael A. Molecular-gas-dynamics simulations of turbulent Couette flow over a mean-free-path-scale permeable substrate. United States: N. p., 2023. Web. doi:10.1103/physrevfluids.8.083401.
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McMullen, Ryan Michael, Krygier, Michael C., Torczynski, John R., & Gallis, Michael A. Molecular-gas-dynamics simulations of turbulent Couette flow over a mean-free-path-scale permeable substrate. United States. https://doi.org/10.1103/physrevfluids.8.083401
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McMullen, Ryan Michael, Krygier, Michael C., Torczynski, John R., and Gallis, Michael A. Mon . "Molecular-gas-dynamics simulations of turbulent Couette flow over a mean-free-path-scale permeable substrate". United States. https://doi.org/10.1103/physrevfluids.8.083401.
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@article{osti_2311668,
title = {Molecular-gas-dynamics simulations of turbulent Couette flow over a mean-free-path-scale permeable substrate},
author = {McMullen, Ryan Michael and Krygier, Michael C. and Torczynski, John R. and Gallis, Michael A.},
abstractNote = {Here we report flow statistics and visualizations from molecular-gas-dynamics simulations using the direct simulation Monte Carlo (DSMC) method for turbulent Couette flow in a minimal domain where the lower wall is replaced by an idealized permeable fibrous substrate representative of thermal-protection-system materials for which the Knudsen number is O(10-1). Comparisons are made with smooth-wall DSMC simulations and smooth-wall direct numerical simulations (DNS) of the Navier-Stokes equations for the same conditions. Roughness, permeability, and noncontinuum effects are assessed. In the range of Reynolds numbers considered herein, the scalings of the skin friction on the permeable substrate and of the mean flow within the substrate suggest that they are dominated by viscous effects. While the regenerative cycle characteristic of smooth-wall turbulence remains intact for all cases considered, we observe that the near-wall velocity fluctuations are modulated by the permeable substrate with a wavelength equal to the pore spacing. Additionally, the flow within the substrate shows significant rarefaction effects, resulting in an apparent permeability that is 13% larger than the intrinsic permeability. In contrast, the smooth-wall DSMC and DNS simulations exhibit remarkably good agreement for the statistics examined, despite the Knudsen number based on the viscous length scale being as large as O(10-1). This latter result is at variance with classical estimates for the breakdown of the continuum assumption and calls for further investigations into the interaction of noncontinuum effects and turbulence.},
doi = {10.1103/physrevfluids.8.083401},
journal = {Physical Review Fluids (Online)},
number = 8,
volume = 8,
place = {United States},
year = {Mon Aug 28 00:00:00 EDT 2023},
month = {Mon Aug 28 00:00:00 EDT 2023}
}
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Journal Article:
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https://doi.org/10.1103/physrevfluids.8.083401
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