Resolving the stratification discrepancy of turbulent natural convection in differentially heated air-filled cavities – Part I: Reference solutions using Chebyshev spectral methods
► Spectral 3D DNS results are presented for turbulent differentially heated cavity. ► Adiabatic or measured temperature distributions applied at the top and bottom walls. ► Experimental thermal stratification is incorrectly predicted with the set BC. ► Part 2 LES show that experimental temperature d...
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| Vydáno v: | The International journal of heat and fluid flow Ročník 39; s. 1 - 14 |
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New York, NY
Elsevier Inc
01.02.2013
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| ISSN: | 0142-727X, 1879-2278 |
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| Abstract | ► Spectral 3D DNS results are presented for turbulent differentially heated cavity. ► Adiabatic or measured temperature distributions applied at the top and bottom walls. ► Experimental thermal stratification is incorrectly predicted with the set BC. ► Part 2 LES show that experimental temperature distributions at each wall are required. ► Resolving the stratification discrepancy needs a full thermal coupling at walls (Part 3).
The problem of the long established thermal stratification discrepancy between numerical and experimental results is investigated in three companion articles. The Part I article establishes reference solutions by means of three-dimensional (3D) spectral direct numerical simulations of a buoyancy-driven flow (RaH=1.5×109). Two configurations of differentially heated air-filled cavity are considered: an idealized cavity (perfectly adiabatic cavity, PAC) and an Intermediate Realistic Cavity (IRC) making use of experimentally measured temperature distributions (Salat, 2004) on its top and bottom walls. The IRC flow structure as well as its associated rms fluctuations correspond to the experimentally observed flow dynamics. However both configurations keep resulting in a core thermal stratification value equal to 1.0 whereas experiments lead to a stratification of about 0.5. It is proved that this stratification paradox is neither related to three-dimensional effects nor to the experimental thermal distributions applied on the horizontal walls. Resolving this stratification discrepancy is the subject of the parts II and III articles (Sergent et al., 2013; Xin et al., 2012). |
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| AbstractList | The problem of the long established thermal stratification discrepancy between numerical and experimental results is investigated in three companion articles. The Part I article establishes reference solutions by means of three-dimensional (3D) spectral direct numerical simulations of a buoyancy-driven flow (RaH = 1.5 X 109). Two configurations of differentially heated air-filled cavity are considered: an idealized cavity (perfectly adiabatic cavity, PAC) and an Intermediate Realistic Cavity (IRC) making use of experimentally measured temperature distributions (Salat, 2004) on its top and bottom walls. The IRC flow structure as well as its associated rms fluctuations correspond to the experimentally observed flow dynamics. However both configurations keep resulting in a core thermal stratification value equal to 1.0 whereas experiments lead to a stratification of about 0.5. It is proved that this stratification paradox is neither related to three-dimensional effects nor to the experimental thermal distributions applied on the horizontal walls. Resolving this stratification discrepancy is the subject of the parts II and III articles (Sergent et al., 2013; Xin et al., 2012). ► Spectral 3D DNS results are presented for turbulent differentially heated cavity. ► Adiabatic or measured temperature distributions applied at the top and bottom walls. ► Experimental thermal stratification is incorrectly predicted with the set BC. ► Part 2 LES show that experimental temperature distributions at each wall are required. ► Resolving the stratification discrepancy needs a full thermal coupling at walls (Part 3). The problem of the long established thermal stratification discrepancy between numerical and experimental results is investigated in three companion articles. The Part I article establishes reference solutions by means of three-dimensional (3D) spectral direct numerical simulations of a buoyancy-driven flow (RaH=1.5×109). Two configurations of differentially heated air-filled cavity are considered: an idealized cavity (perfectly adiabatic cavity, PAC) and an Intermediate Realistic Cavity (IRC) making use of experimentally measured temperature distributions (Salat, 2004) on its top and bottom walls. The IRC flow structure as well as its associated rms fluctuations correspond to the experimentally observed flow dynamics. However both configurations keep resulting in a core thermal stratification value equal to 1.0 whereas experiments lead to a stratification of about 0.5. It is proved that this stratification paradox is neither related to three-dimensional effects nor to the experimental thermal distributions applied on the horizontal walls. Resolving this stratification discrepancy is the subject of the parts II and III articles (Sergent et al., 2013; Xin et al., 2012). |
| Author | Xin, Shihe Joubert, Patrice Salat, Jacques Sergent, Anne Penot, François Le Quéré, Patrick |
| Author_xml | – sequence: 1 givenname: Anne surname: Sergent fullname: Sergent, Anne email: sergent@limsi.fr organization: CNRS, LIMSI, BP 133, 91403 Orsay, France – sequence: 2 givenname: Shihe surname: Xin fullname: Xin, Shihe organization: CETHIL, CNRS/INSA-Lyon/UCBL, 69621 Villeurbanne Cedex, France – sequence: 3 givenname: Patrice surname: Joubert fullname: Joubert, Patrice organization: LEPTIAB, Université de La Rochelle, 17042 La Rochelle Cedex 1, France – sequence: 4 givenname: Patrick surname: Le Quéré fullname: Le Quéré, Patrick organization: CNRS, LIMSI, BP 133, 91403 Orsay, France – sequence: 5 givenname: Jacques surname: Salat fullname: Salat, Jacques organization: LET-ENSMA, BP 40109, 86961 Futuroscope Cedex, France – sequence: 6 givenname: François surname: Penot fullname: Penot, François organization: LET-ENSMA, BP 40109, 86961 Futuroscope Cedex, France |
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| Keywords | Chebyshev approximation Benchmark solutions Turbulence Natural convection Differentially heated cavity Direct numerical simulation Spectral method Turbulent flow Chebyshev polynomial Digital simulation Boundary conditions Thermal stratification Cavity flow Three dimensional flow Modelling Heat transfer |
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| Snippet | ► Spectral 3D DNS results are presented for turbulent differentially heated cavity. ► Adiabatic or measured temperature distributions applied at the top and... The problem of the long established thermal stratification discrepancy between numerical and experimental results is investigated in three companion articles.... |
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| SubjectTerms | Benchmark solutions Chebyshev approximation Computational methods in fluid dynamics Convection and heat transfer Differentially heated cavity Direct numerical simulation Exact sciences and technology Fluid dynamics Fluid flow Fundamental areas of phenomenology (including applications) Holes Mathematical models Natural convection Physics Stratification Three dimensional Turbulence Turbulent flow Turbulent flows, convection, and heat transfer Walls |
| Title | Resolving the stratification discrepancy of turbulent natural convection in differentially heated air-filled cavities – Part I: Reference solutions using Chebyshev spectral methods |
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