Dynamics of mixing flow with double-layer density stratification: Enstrophy and vortical structures
Previous studies on stratified shear layers involving two streams with different densities have been conducted under the Boussinesq approximation, while the combined effect of stratified instability and mean shear in relation to multi-layer density stratification induced by scalar fields remains an...
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Veröffentlicht in: | Physics of fluids (1994) 2022-10, Vol.34 (10) |
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description | Previous studies on stratified shear layers involving two streams with different densities have been conducted under the Boussinesq approximation, while the combined effect of stratified instability and mean shear in relation to multi-layer density stratification induced by scalar fields remains an unresolved fundamental question. In this paper, the shear-driven mixing flow involving initial double-layer density interfaces due to the compositional differences are numerically investigated, in which the mean shear interacts with Rayleigh–Taylor instability (RTI). Since its critical role in dynamics of shear layers and scalar transport, we focus on the evolution of entrophy and vortical structures. We find that the dynamics of mixing layers are determined by the mean shear and the distance between the initial density stratification. The mean shear and the Kelvin–Helmholtz instability dominate the evolution of shear layers at the initial stage. The increase in mean shear, therefore, is favorable for turbulent mixing, irrespective of effect of RTI. However, once the transition of turbulence occurs, the mean shear becomes weaker and RTI becomes prominent. This promotes the destruction of hairpin vortex and generation of vortex tube. In addition, the interaction of mean shear with RTI becomes weaker with increasing distance between initial density stratification. Furthermore, the viscous dissipation of enstrophy is larger than enstrophy production in the turbulent region due to the effect of RTI. The baroclinic term has the larger contribution in the turbulent region than near the turbulent/non-turbulent interface, which is different from the results of stably stratified flow under the Boussinesq approximation. |
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In this paper, the shear-driven mixing flow involving initial double-layer density interfaces due to the compositional differences are numerically investigated, in which the mean shear interacts with Rayleigh–Taylor instability (RTI). Since its critical role in dynamics of shear layers and scalar transport, we focus on the evolution of entrophy and vortical structures. We find that the dynamics of mixing layers are determined by the mean shear and the distance between the initial density stratification. The mean shear and the Kelvin–Helmholtz instability dominate the evolution of shear layers at the initial stage. The increase in mean shear, therefore, is favorable for turbulent mixing, irrespective of effect of RTI. However, once the transition of turbulence occurs, the mean shear becomes weaker and RTI becomes prominent. This promotes the destruction of hairpin vortex and generation of vortex tube. In addition, the interaction of mean shear with RTI becomes weaker with increasing distance between initial density stratification. Furthermore, the viscous dissipation of enstrophy is larger than enstrophy production in the turbulent region due to the effect of RTI. The baroclinic term has the larger contribution in the turbulent region than near the turbulent/non-turbulent interface, which is different from the results of stably stratified flow under the Boussinesq approximation.</description><identifier>ISSN: 1070-6631</identifier><identifier>EISSN: 1089-7666</identifier><identifier>DOI: 10.1063/5.0121554</identifier><identifier>CODEN: PHFLE6</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Approximation ; Boussinesq approximation ; Density stratification ; Dynamic stability ; Evolution ; Horseshoe vortices ; Kelvin-Helmholtz instability ; Mathematical analysis ; Mixing layers (fluids) ; Multilayers ; Scalars ; Shear layers ; Stratified flow ; Taylor instability ; Turbulence ; Turbulent mixing</subject><ispartof>Physics of fluids (1994), 2022-10, Vol.34 (10)</ispartof><rights>Author(s)</rights><rights>2022 Author(s). 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In addition, the interaction of mean shear with RTI becomes weaker with increasing distance between initial density stratification. Furthermore, the viscous dissipation of enstrophy is larger than enstrophy production in the turbulent region due to the effect of RTI. The baroclinic term has the larger contribution in the turbulent region than near the turbulent/non-turbulent interface, which is different from the results of stably stratified flow under the Boussinesq approximation.</description><subject>Approximation</subject><subject>Boussinesq approximation</subject><subject>Density stratification</subject><subject>Dynamic stability</subject><subject>Evolution</subject><subject>Horseshoe vortices</subject><subject>Kelvin-Helmholtz instability</subject><subject>Mathematical analysis</subject><subject>Mixing layers (fluids)</subject><subject>Multilayers</subject><subject>Scalars</subject><subject>Shear layers</subject><subject>Stratified flow</subject><subject>Taylor instability</subject><subject>Turbulence</subject><subject>Turbulent mixing</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWKsHv0HAk8LW2WST7HqTWv9AwYuel2w2sSnbTU2y1v32bm3Rg-BlZpj58Yb3EDpPYZICp9dsAilJGcsO0CiFvEgE5_xwOwtIOKfpMToJYQkAtCB8hNRd38qVVQE7g1f207Zv2DRugzc2LnDtuqrRSSN77XGt22Bjj0P0Mlpj1VBde4Nn7bBx60WPZVvjD-fjcGq2WKdi53U4RUdGNkGf7fsYvd7PXqaPyfz54Wl6O08UJSImOaN1TpkUhigghQFiKFRKVJwVXFGqiwJ4pbOcASGykkID1CYDTUxdFULTMbrY6a69e-90iOXSdb4dXpZEEJ5mgvFsoC53lPIuBK9NufZ2JX1fplBuMyxZuc9wYK92bFA2ftv9gQefv2C5rs1_8F_lL6lVgQY</recordid><startdate>202210</startdate><enddate>202210</enddate><creator>Pei, Binbin</creator><creator>Li, FangBo</creator><creator>Luo, Zhengyuan</creator><creator>Zhao, Liang</creator><creator>Bai, Bofeng</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-3709-6136</orcidid><orcidid>https://orcid.org/0000-0002-6412-4390</orcidid><orcidid>https://orcid.org/0000-0001-6260-3091</orcidid><orcidid>https://orcid.org/0000-0003-0982-3823</orcidid><orcidid>https://orcid.org/0000-0002-4030-2092</orcidid></search><sort><creationdate>202210</creationdate><title>Dynamics of mixing flow with double-layer density stratification: Enstrophy and vortical structures</title><author>Pei, Binbin ; Li, FangBo ; Luo, Zhengyuan ; Zhao, Liang ; Bai, Bofeng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-853d835a7f2c029f02f30bc7b6596c33e9906be485022aba7e00df40e2fdb97e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Approximation</topic><topic>Boussinesq approximation</topic><topic>Density stratification</topic><topic>Dynamic stability</topic><topic>Evolution</topic><topic>Horseshoe vortices</topic><topic>Kelvin-Helmholtz instability</topic><topic>Mathematical analysis</topic><topic>Mixing layers (fluids)</topic><topic>Multilayers</topic><topic>Scalars</topic><topic>Shear layers</topic><topic>Stratified flow</topic><topic>Taylor instability</topic><topic>Turbulence</topic><topic>Turbulent mixing</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pei, Binbin</creatorcontrib><creatorcontrib>Li, FangBo</creatorcontrib><creatorcontrib>Luo, Zhengyuan</creatorcontrib><creatorcontrib>Zhao, Liang</creatorcontrib><creatorcontrib>Bai, Bofeng</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pei, Binbin</au><au>Li, FangBo</au><au>Luo, Zhengyuan</au><au>Zhao, Liang</au><au>Bai, Bofeng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamics of mixing flow with double-layer density stratification: Enstrophy and vortical structures</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2022-10</date><risdate>2022</risdate><volume>34</volume><issue>10</issue><issn>1070-6631</issn><eissn>1089-7666</eissn><coden>PHFLE6</coden><abstract>Previous studies on stratified shear layers involving two streams with different densities have been conducted under the Boussinesq approximation, while the combined effect of stratified instability and mean shear in relation to multi-layer density stratification induced by scalar fields remains an unresolved fundamental question. 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In addition, the interaction of mean shear with RTI becomes weaker with increasing distance between initial density stratification. Furthermore, the viscous dissipation of enstrophy is larger than enstrophy production in the turbulent region due to the effect of RTI. The baroclinic term has the larger contribution in the turbulent region than near the turbulent/non-turbulent interface, which is different from the results of stably stratified flow under the Boussinesq approximation.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0121554</doi><tpages>16</tpages><orcidid>https://orcid.org/0000-0002-3709-6136</orcidid><orcidid>https://orcid.org/0000-0002-6412-4390</orcidid><orcidid>https://orcid.org/0000-0001-6260-3091</orcidid><orcidid>https://orcid.org/0000-0003-0982-3823</orcidid><orcidid>https://orcid.org/0000-0002-4030-2092</orcidid></addata></record> |
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subjects | Approximation Boussinesq approximation Density stratification Dynamic stability Evolution Horseshoe vortices Kelvin-Helmholtz instability Mathematical analysis Mixing layers (fluids) Multilayers Scalars Shear layers Stratified flow Taylor instability Turbulence Turbulent mixing |
title | Dynamics of mixing flow with double-layer density stratification: Enstrophy and vortical structures |
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