Simultaneous measurements of kinetic and scalar energy spectrum time evolution in the Richtmyer–Meshkov instability upon reshock
The Richtmyer–Meshkov instability (Richtmyer, Commun. Pure Appl. Maths, vol. 13, issue 2, 1960, pp. 297–319; Meshkov, Fluid Dyn., vol. 4, issue 5, 1972, pp. 101–104) of a twice-shocked gas interface is studied using both high spatial resolution single-shot (SS) and lower spatial resolution, time-res...
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| description | The Richtmyer–Meshkov instability (Richtmyer, Commun. Pure Appl. Maths, vol. 13, issue 2, 1960, pp. 297–319; Meshkov, Fluid Dyn., vol. 4, issue 5, 1972, pp. 101–104) of a twice-shocked gas interface is studied using both high spatial resolution single-shot (SS) and lower spatial resolution, time-resolved, high-speed (HS) simultaneous planar laser-induced fluorescence and particle image velocimetry in the Wisconsin Shock Tube Laboratory's vertical shock tube. The initial condition (IC) is a shear layer with broadband diffuse perturbations at the interface between a helium–acetone mixture and argon. This IC is accelerated by a shock of nominal strength Mach number $M = 1.75$, and then accelerated again by the transmitted shock that reflects off the end wall of the tube. An ensemble of experiments is analysed after reshock while the interface mixing width grows linearly with time. The kinetic and scalar energy spectra and the terms of their evolution equation are calculated and compared between SS and HS experiments. The inertial range scaling of the scalar power spectrum is found to follow Gibson's relation (Gibson, Phys. Fluids, vol. 11, issue 11, 1968, pp. 2316–2327) as a function of Schmidt number when the effective turbulent Schmidt number is used in place of the material Schmidt number that controls equilibrium scaling. Further, the spatially integrated scalar flux follows similar behaviour observed for the kinetic energy in large eddy simulation studies by Zeng et al. (Phys. Fluids, vol. 30, issue 6, 2018, 064106) while the spatially varying scalar flux exhibits back scatter along the centre of the mixing layer and forward energy transfer in the spike and bubble regions. |
| doi_str_mv | 10.1017/jfm.2023.854 |
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Pure Appl. Maths, vol. 13, issue 2, 1960, pp. 297–319; Meshkov, Fluid Dyn., vol. 4, issue 5, 1972, pp. 101–104) of a twice-shocked gas interface is studied using both high spatial resolution single-shot (SS) and lower spatial resolution, time-resolved, high-speed (HS) simultaneous planar laser-induced fluorescence and particle image velocimetry in the Wisconsin Shock Tube Laboratory's vertical shock tube. The initial condition (IC) is a shear layer with broadband diffuse perturbations at the interface between a helium–acetone mixture and argon. This IC is accelerated by a shock of nominal strength Mach number $M = 1.75$, and then accelerated again by the transmitted shock that reflects off the end wall of the tube. An ensemble of experiments is analysed after reshock while the interface mixing width grows linearly with time. The kinetic and scalar energy spectra and the terms of their evolution equation are calculated and compared between SS and HS experiments. The inertial range scaling of the scalar power spectrum is found to follow Gibson's relation (Gibson, Phys. Fluids, vol. 11, issue 11, 1968, pp. 2316–2327) as a function of Schmidt number when the effective turbulent Schmidt number is used in place of the material Schmidt number that controls equilibrium scaling. Further, the spatially integrated scalar flux follows similar behaviour observed for the kinetic energy in large eddy simulation studies by Zeng et al. (Phys. Fluids, vol. 30, issue 6, 2018, 064106) while the spatially varying scalar flux exhibits back scatter along the centre of the mixing layer and forward energy transfer in the spike and bubble regions.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2023.854</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY ; Acetone ; Argon ; Broadband ; Energy ; Energy spectra ; Energy transfer ; Evolution ; Experiments ; Fluid flow ; Fluids ; Fluorescence ; Helium ; JFM Papers ; Kinetic energy ; Large eddy simulation ; Lasers ; Mach number ; Particle image velocimetry ; Planar laser induced fluorescence ; Richtmeyer-Meshkov instability ; Richtmyer-Meshkov instability ; Scaling ; Schmidt number ; Shear layers ; Shock ; shock-driven turbulence ; shock-induced mixing ; Simulation ; Spatial discrimination ; Spatial resolution ; Velocity</subject><ispartof>Journal of fluid mechanics, 2023-11, Vol.975, Article A39</ispartof><rights>The Author(s), 2023. Published by Cambridge University Press.</rights><rights>The Author(s), 2023. Published by Cambridge University Press. This work is licensed under the Creative Commons Attribution License This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited. (the “License”). 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Fluid Mech</addtitle><description>The Richtmyer–Meshkov instability (Richtmyer, Commun. Pure Appl. Maths, vol. 13, issue 2, 1960, pp. 297–319; Meshkov, Fluid Dyn., vol. 4, issue 5, 1972, pp. 101–104) of a twice-shocked gas interface is studied using both high spatial resolution single-shot (SS) and lower spatial resolution, time-resolved, high-speed (HS) simultaneous planar laser-induced fluorescence and particle image velocimetry in the Wisconsin Shock Tube Laboratory's vertical shock tube. The initial condition (IC) is a shear layer with broadband diffuse perturbations at the interface between a helium–acetone mixture and argon. This IC is accelerated by a shock of nominal strength Mach number $M = 1.75$, and then accelerated again by the transmitted shock that reflects off the end wall of the tube. An ensemble of experiments is analysed after reshock while the interface mixing width grows linearly with time. The kinetic and scalar energy spectra and the terms of their evolution equation are calculated and compared between SS and HS experiments. The inertial range scaling of the scalar power spectrum is found to follow Gibson's relation (Gibson, Phys. Fluids, vol. 11, issue 11, 1968, pp. 2316–2327) as a function of Schmidt number when the effective turbulent Schmidt number is used in place of the material Schmidt number that controls equilibrium scaling. Further, the spatially integrated scalar flux follows similar behaviour observed for the kinetic energy in large eddy simulation studies by Zeng et al. (Phys. Fluids, vol. 30, issue 6, 2018, 064106) while the spatially varying scalar flux exhibits back scatter along the centre of the mixing layer and forward energy transfer in the spike and bubble regions.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>Acetone</subject><subject>Argon</subject><subject>Broadband</subject><subject>Energy</subject><subject>Energy spectra</subject><subject>Energy transfer</subject><subject>Evolution</subject><subject>Experiments</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>Fluorescence</subject><subject>Helium</subject><subject>JFM Papers</subject><subject>Kinetic energy</subject><subject>Large eddy simulation</subject><subject>Lasers</subject><subject>Mach number</subject><subject>Particle image velocimetry</subject><subject>Planar laser induced fluorescence</subject><subject>Richtmeyer-Meshkov instability</subject><subject>Richtmyer-Meshkov 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measurements of kinetic and scalar energy spectrum time evolution in the Richtmyer–Meshkov instability upon reshock</title><author>Noble, Christopher D. ; Ames, Alex M. ; McConnell, Raymond ; Oakley, Jason ; Rothamer, David A. ; Bonazza, Riccardo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c367t-15b9e1c98682874db23cb34589cc253d9f875091006377f5ba4395fb359867da3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>Acetone</topic><topic>Argon</topic><topic>Broadband</topic><topic>Energy</topic><topic>Energy spectra</topic><topic>Energy transfer</topic><topic>Evolution</topic><topic>Experiments</topic><topic>Fluid flow</topic><topic>Fluids</topic><topic>Fluorescence</topic><topic>Helium</topic><topic>JFM Papers</topic><topic>Kinetic energy</topic><topic>Large eddy simulation</topic><topic>Lasers</topic><topic>Mach 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Fluid Mech</addtitle><date>2023-11-21</date><risdate>2023</risdate><volume>975</volume><artnum>A39</artnum><issn>0022-1120</issn><eissn>1469-7645</eissn><abstract>The Richtmyer–Meshkov instability (Richtmyer, Commun. Pure Appl. Maths, vol. 13, issue 2, 1960, pp. 297–319; Meshkov, Fluid Dyn., vol. 4, issue 5, 1972, pp. 101–104) of a twice-shocked gas interface is studied using both high spatial resolution single-shot (SS) and lower spatial resolution, time-resolved, high-speed (HS) simultaneous planar laser-induced fluorescence and particle image velocimetry in the Wisconsin Shock Tube Laboratory's vertical shock tube. The initial condition (IC) is a shear layer with broadband diffuse perturbations at the interface between a helium–acetone mixture and argon. This IC is accelerated by a shock of nominal strength Mach number $M = 1.75$, and then accelerated again by the transmitted shock that reflects off the end wall of the tube. An ensemble of experiments is analysed after reshock while the interface mixing width grows linearly with time. The kinetic and scalar energy spectra and the terms of their evolution equation are calculated and compared between SS and HS experiments. The inertial range scaling of the scalar power spectrum is found to follow Gibson's relation (Gibson, Phys. Fluids, vol. 11, issue 11, 1968, pp. 2316–2327) as a function of Schmidt number when the effective turbulent Schmidt number is used in place of the material Schmidt number that controls equilibrium scaling. Further, the spatially integrated scalar flux follows similar behaviour observed for the kinetic energy in large eddy simulation studies by Zeng et al. (Phys. Fluids, vol. 30, issue 6, 2018, 064106) while the spatially varying scalar flux exhibits back scatter along the centre of the mixing layer and forward energy transfer in the spike and bubble regions.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/jfm.2023.854</doi><tpages>19</tpages><orcidid>https://orcid.org/0000-0002-2998-7107</orcidid><orcidid>https://orcid.org/0000-0001-6496-5424</orcidid><orcidid>https://orcid.org/0000-0001-9992-0373</orcidid><orcidid>https://orcid.org/0000000199920373</orcidid><orcidid>https://orcid.org/0000000164965424</orcidid><orcidid>https://orcid.org/0000000229987107</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | 70 PLASMA PHYSICS AND FUSION TECHNOLOGY Acetone Argon Broadband Energy Energy spectra Energy transfer Evolution Experiments Fluid flow Fluids Fluorescence Helium JFM Papers Kinetic energy Large eddy simulation Lasers Mach number Particle image velocimetry Planar laser induced fluorescence Richtmeyer-Meshkov instability Richtmyer-Meshkov instability Scaling Schmidt number Shear layers Shock shock-driven turbulence shock-induced mixing Simulation Spatial discrimination Spatial resolution Velocity |
| title | Simultaneous measurements of kinetic and scalar energy spectrum time evolution in the Richtmyer–Meshkov instability upon reshock |
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