Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction.
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| Title: | Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction. |
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| Authors: | Roy, Subhajit1, Pathak, Utkarsh2, Sinha, Krishnendu3 |
| Source: | AIAA Journal. Jan2018, Vol. 56 Issue 1, p342-355. 14p. |
| Abstract: | Interaction of shock waves with turbulent boundary layers can enhance the surface heat flux dramatically. Reynolds-averaged Navier-Stokes simulations based on a constant turbulent Prandtl number often give grossly erroneous heat transfer predictions in shock/boundary-layer interaction flows. This is due to the fact that the underlying Morkovin's hypothesis breaks down in the presence of shock waves; thus, the turbulent Prandtl number cannot be assumed to be a constant. In this paper, a new variable turbulent Prandtl number model based on linearized Rankine-Hugoniot conditions applied to shock-turbulence interaction is developed. The turbulent Prandtl number is a function of the shock strength, and a shock function is proposed to identify the location and strength of shock waves. The shock function also simulates the postshock relaxation of the turbulent heat flux, which is akin to that observed in canonical shock-turbulence interaction. The model is combined with the well-validated shock-unsteadiness k-ω model and is applied to the complex shock topology observed in oblique shock/turbulent boundary-layer interactions. Comparison with experimental data shows significant improvement in the surface heat transfer rate in the interaction region, both for attached and separated shock/boundary-layer interaction cases. The shock function is also used to propose a robust form of the existing shock-unsteadiness k-ω model that simplifies the numerical implementation enormously. [ABSTRACT FROM AUTHOR] |
| Copyright of AIAA Journal is the property of American Institute of Aeronautics & Astronautics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 127568265 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Roy%2C+Subhajit%22">Roy, Subhajit</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Pathak%2C+Utkarsh%22">Pathak, Utkarsh</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Sinha%2C+Krishnendu%22">Sinha, Krishnendu</searchLink><relatesTo>3</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22AIAA+Journal%22">AIAA Journal</searchLink>. Jan2018, Vol. 56 Issue 1, p342-355. 14p. – Name: Abstract Label: Abstract Group: Ab Data: Interaction of shock waves with turbulent boundary layers can enhance the surface heat flux dramatically. Reynolds-averaged Navier-Stokes simulations based on a constant turbulent Prandtl number often give grossly erroneous heat transfer predictions in shock/boundary-layer interaction flows. This is due to the fact that the underlying Morkovin's hypothesis breaks down in the presence of shock waves; thus, the turbulent Prandtl number cannot be assumed to be a constant. In this paper, a new variable turbulent Prandtl number model based on linearized Rankine-Hugoniot conditions applied to shock-turbulence interaction is developed. The turbulent Prandtl number is a function of the shock strength, and a shock function is proposed to identify the location and strength of shock waves. The shock function also simulates the postshock relaxation of the turbulent heat flux, which is akin to that observed in canonical shock-turbulence interaction. The model is combined with the well-validated shock-unsteadiness k-ω model and is applied to the complex shock topology observed in oblique shock/turbulent boundary-layer interactions. Comparison with experimental data shows significant improvement in the surface heat transfer rate in the interaction region, both for attached and separated shock/boundary-layer interaction cases. The shock function is also used to propose a robust form of the existing shock-unsteadiness k-ω model that simplifies the numerical implementation enormously. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of AIAA Journal is the property of American Institute of Aeronautics & Astronautics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.2514/1.J056183 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 342 Titles: – TitleFull: Variable Turbulent Prandtl Number Model for Shock/Boundary-Layer Interaction. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Roy, Subhajit – PersonEntity: Name: NameFull: Pathak, Utkarsh – PersonEntity: Name: NameFull: Sinha, Krishnendu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2018 Type: published Y: 2018 Identifiers: – Type: issn-print Value: 00011452 Numbering: – Type: volume Value: 56 – Type: issue Value: 1 Titles: – TitleFull: AIAA Journal Type: main |
| ResultId | 1 |
