Bodenschatz, Eberhard

[["dc.bibliographiccitation.artnumber","063030"],["dc.bibliographiccitation.journal","New Journal of Physics"],["dc.bibliographiccitation.volume","14"],["dc.contributor.author","He, Xiaozhou"],["dc.contributor.author","Funfschilling, Denis"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Ahlers, Guenter"],["dc.date.accessioned","2018-11-07T09:09:10Z"],["dc.date.available","2018-11-07T09:09:10Z"],["dc.date.issued","2012"],["dc.description.abstract","We report experimental results for heat-transport measurements, in the form of the Nusselt number Nu, by turbulent Rayleigh-Benard convection (RBC) in a cylindrical sample of aspect ratio Gamma equivalent to D/L = 1.00 (D = 1.12m is the diameter and L = 1.12m the height) and compare them with previously reported results for Gamma = 0.50. The measurements were made using sulfur hexafluoride at pressures up to 19 bars as the fluid. They are for the Rayleigh-number range 4 x 10(11) less than or similar to Ra less than or similar to 2 x 10(14) and for Prandtl numbers Pr between 0.79 and 0.86. For Ra < Ra-1 similar or equal to 2 x 10(13) we find Nu = N0Ra gamma eff with gamma(eff) = 0.321 +/- 0.002 and N-0 = 0.0776, consistent with classical turbulent RBC in a system with laminar boundary layers (BLs) below the top and above the bottom plate and with the prediction of Grossmann and Lohse. For Ra > Ra-1 the data rise above the classical-state power-law and show greater scatter. In analogy to similar behavior observed for Gamma = 0.50, we interpret this observation as the onset of the transition to the ultimate state. Within our resolution this onset occurs at nearly the same value of Ra-1 as it does for Gamma = 0.50. This differs from an earlier estimate by Roche et al (2010 New J. Phys. 12 085014), which yielded a transition at Ra-U similar or equal to 1.3 x 10(11) Gamma(-2.5 +/- 0.5). A Gamma-independent Ra-1 would suggest that the BL shear transition is induced by fluctuations on a scale less than the sample dimensions rather than by a global Gamma-dependent flow mode. Within the resolution of the measurements the heat transport above Ra-1 is equal for the two Gamma values, suggesting a universal aspect of the ultimate-state transition and properties. The enhanced scatter of Nu in the transition region, which exceeds the experimental resolution, indicates an intrinsic irreproducibility of the state of the system. Several previous measurements for Gamma = 1.00 are re-examined and compared with the present results. None of them identified the ultimate-state transition."],["dc.identifier.doi","10.1088/1367-2630/14/6/063030"],["dc.identifier.isi","000306946600001"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/26197"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Iop Publishing Ltd"],["dc.relation.issn","1367-2630"],["dc.title","Heat transport by turbulent Rayleigh-Benard convection for Pr similar or equal to 0.8 and 4 x 10(11) less than or similar to Ra less than or similar to 2 x 10(14): ultimate-state transition for aspect ratio Gamma=1.00"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","3572"],["dc.bibliographiccitation.issue","23"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.lastpage","3575"],["dc.bibliographiccitation.volume","70"],["dc.contributor.author","Lerman, Kristina"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Cannell, David S."],["dc.contributor.author","Ahlers, Guenter"],["dc.date.accessioned","2022-06-08T08:00:05Z"],["dc.date.available","2022-06-08T08:00:05Z"],["dc.date.issued","1993"],["dc.identifier.doi","10.1103/PhysRevLett.70.3572"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/110959"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-575"],["dc.relation.issn","0031-9007"],["dc.title","Transient localized states in 2D binary liquid convection"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","084501"],["dc.bibliographiccitation.issue","8"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","128"],["dc.contributor.author","Ahlers, Guenter"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Hartmann, Robert"],["dc.contributor.author","He, Xiaozhou"],["dc.contributor.author","Lohse, Detlef"],["dc.contributor.author","Reiter, Philipp"],["dc.contributor.author","Stevens, Richard J. A. M."],["dc.contributor.author","Verzicco, Roberto"],["dc.contributor.author","Wedi, Marcel"],["dc.contributor.author","Weiss, Stephan"],["dc.contributor.author","Shishkina, Olga"],["dc.date.accessioned","2022-04-01T10:00:29Z"],["dc.date.available","2022-04-01T10:00:29Z"],["dc.date.issued","2022"],["dc.identifier.doi","10.1103/PhysRevLett.128.084501"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/105440"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-530"],["dc.relation.eissn","1079-7114"],["dc.relation.issn","0031-9007"],["dc.rights.uri","https://creativecommons.org/licenses/by/4.0/"],["dc.title","Aspect Ratio Dependence of Heat Transfer in a Cylindrical Rayleigh-Bénard Cell"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","2043"],["dc.bibliographiccitation.issue","6"],["dc.bibliographiccitation.journal","Review of Scientific Instruments"],["dc.bibliographiccitation.lastpage","2067"],["dc.bibliographiccitation.volume","67"],["dc.contributor.author","de Bruyn, John R."],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Morris, Stephen W."],["dc.contributor.author","Trainoff, Steven P."],["dc.contributor.author","Hu, Yuchou"],["dc.contributor.author","Cannell, David S."],["dc.contributor.author","Ahlers, Guenter"],["dc.date.accessioned","2022-06-08T07:58:50Z"],["dc.date.available","2022-06-08T07:58:50Z"],["dc.date.issued","1996"],["dc.identifier.doi","10.1063/1.1147511"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/110543"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-575"],["dc.relation.eissn","1089-7623"],["dc.relation.issn","0034-6748"],["dc.title","Apparatus for the study of Rayleigh–Bénard convection in gases under pressure"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","114501"],["dc.bibliographiccitation.issue","11"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","109"],["dc.contributor.author","Ahlers, Guenter"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Funfschilling, Denis"],["dc.contributor.author","Grossmann, Siegfried"],["dc.contributor.author","He, Xiaozhou"],["dc.contributor.author","Lohse, Detlef"],["dc.contributor.author","Stevens, Richard J. A. M."],["dc.contributor.author","Verzicco, Roberto"],["dc.date.accessioned","2018-11-07T09:05:53Z"],["dc.date.available","2018-11-07T09:05:53Z"],["dc.date.issued","2012"],["dc.description.abstract","We report results for the temperature profiles of turbulent Rayleigh-Benard convection (RBC) in the interior of a cylindrical sample of aspect ratio Gamma equivalent to D/L = 0.50 (D and L are the diameter and height, respectively). Both in the classical and in the ultimate state of RBC we find that the temperature varies as A X ln(z/L) + B, where z is the distance from the bottom or top plate. In the classical state, the coefficient A decreases in the radial direction as the distance from the side wall increases. For the ultimate state, the radial dependence of A has not yet been determined. These findings are based on experimental measurements over the Rayleigh-number range 4 X 10(12) less than or similar to Ra less than or similar to 10(15) for a Prandtl number Pr similar or equal to 0.8 and on direct numerical simulation at Ra = 2 X 10(12), 2 X 10(11), and 2 X 10(10), all for Pr = 0.7."],["dc.identifier.doi","10.1103/PhysRevLett.109.114501"],["dc.identifier.isi","000308736000006"],["dc.identifier.pmid","23005635"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/25427"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","0031-9007"],["dc.title","Logarithmic Temperature Profiles in Turbulent Rayleigh-Benard Convection"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","199401"],["dc.bibliographiccitation.issue","19"],["dc.bibliographiccitation.journal","Physical Review Letters"],["dc.bibliographiccitation.volume","110"],["dc.contributor.author","He, Xiaozhou"],["dc.contributor.author","Funfschilling, Denis"],["dc.contributor.author","Nobach, Holger"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Ahlers, Guenter"],["dc.date.accessioned","2018-11-07T09:24:44Z"],["dc.date.available","2018-11-07T09:24:44Z"],["dc.date.issued","2013"],["dc.identifier.doi","10.1103/PhysRevLett.110.199401"],["dc.identifier.isi","000318690200011"],["dc.identifier.pmid","23705747"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/29894"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","0031-9007"],["dc.title","Comment on \"Effect of Boundary Layers Asymmetry on Heat Transfer Efficiency in Turbulent Rayleigh-Benard Convection at Very High Rayleigh Numbers\""],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dc.type.subtype","letter_note"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","054603"],["dc.bibliographiccitation.issue","5"],["dc.bibliographiccitation.journal","Physical Review Fluids"],["dc.bibliographiccitation.volume","2"],["dc.contributor.author","Ahlers, Guenter"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","He, Xiaozhou"],["dc.date.accessioned","2020-12-10T18:25:38Z"],["dc.date.available","2020-12-10T18:25:38Z"],["dc.date.issued","2017"],["dc.description.abstract","Recently Schumacher et al. [Phys. Rev. Fluids 1, 084402 (2016)] used direct numerical simulation to calculate the shear stress exerted on the top and bottom viscous boundary layers (BLs) of Rayleigh-Benard convection with a Prandtl number Pr = 0.021 and aspect ration Gamma = 1 for Rayleigh numbers Ra up to 4 x 10(8). By extrapolating their results to larger Ra, they concluded that the sample would undergo a transition to turbulent BLs and enter the \"ultimate state\" at Ra similar or equal to 10(11) for Pr = 0.021. Here we show that their result is consistent with the experimentally determined Ra = 2 x 10(13) for Pr = 0.82 by He et al. [ Phys. Rev. Lett. 108, 024502 (2012); New J. Phys. 17, 063028 (2015)] and the Pr dependence of Ra predicted by Grossmann and Lohse [ Phys. Rev. E 66, 016305 (2002)]. Thus the numerical results of Schumacher et al. support the interpretation of the experimentally observed transition at Ra = 2 x 10(13) for Pr = 0.82 as the ultimate-state transition."],["dc.identifier.doi","10.1103/PhysRevFluids.2.054603"],["dc.identifier.eissn","2469-990X"],["dc.identifier.isi","000400675300002"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/75770"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","PUB_WoS_Import"],["dc.publisher","Amer Physical Soc"],["dc.relation.issn","2469-990X"],["dc.title","Ultimate-state transition of turbulent Rayleigh-Bénard convection"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.artnumber","R3"],["dc.bibliographiccitation.journal","Journal of Fluid Mechanics"],["dc.bibliographiccitation.volume","791"],["dc.contributor.author","He, Xiaozhou"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Ahlers, Guenter"],["dc.date.accessioned","2018-11-07T10:17:55Z"],["dc.date.available","2018-11-07T10:17:55Z"],["dc.date.issued","2016"],["dc.description.abstract","We present measurements of the orientation theta(0) and temperature amplitude delta of the large-scale circulation in a cylindrical sample of turbulent Rayleigh-Benard convection (RBC) with aspect ratio Gamma equivalent to D/L = 1.00 (D and L are the diameter and height respectively) and for the Prandtl number Pr similar or equal to 0.8. The results for theta(0) revealed a preferred orientation with up-flow in the west, consistent with a broken azimuthal invariance due to the Earth's Coriolis force (see Brown & Ahlers (Phys. Fluids, vol. 18, 2006, 125108)). They yielded the azimuthal diffusivity D-theta and a corresponding Reynolds number Re-theta for Rayleigh numbers over the range 2 x 10(12) less than or similar to Ra less than or similar to 1.5 less than or similar to 10(14). In the classical state (Ra less than or similar to 2 x 10(13)) the results were consistent with the measurements by Brown & Ahlers (J. Fluid Mech., vol. 568, 2006, pp. 351-386) for Ra less than or similar to 10(11) and Pr = 4.38, which gave Re-theta alpha Ra-0.28, and with the Prandtl-number dependence Re-theta alpha Pr-1.2 as found previously also for the velocity-fluctuation Reynolds number Re-V (He et al., New J. Phys., vol. 17, 2015, 063028). At larger Ra the data for Re-theta (Ra) revealed a transition to a new state, known as the 'ultimate' state, which was first seen in the Nusselt number Nu(Ra) and in Re-V(Ra) at Ra-1 similar or equal to 2 x 10(13) and Ra-2 similar or equal to 8 x 10(13). In the ultimate state we found Re-theta alpha Ra-0.40 +/- 0.03. Recently, Skrbek & Urban (J. Fluid Mech., vol. 785, 2015, pp. 270-282) claimed that non-Oberbeck-Boussinesq effects on the Nusselt and Reynolds numbers of turbulent RBC may have been interpreted erroneously as a transition to a new state. We demonstrate that their reasoning is incorrect and that the transition observed in the Gottingen experiments and discussed in the present paper is indeed to a new state of RBC referred to as 'ultimate'."],["dc.identifier.doi","10.1017/jfm.2016.56"],["dc.identifier.isi","000371068900003"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/41321"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Cambridge Univ Press"],["dc.relation.issn","1469-7645"],["dc.relation.issn","0022-1120"],["dc.title","Azimuthal diffusion of the large-scale-circulation plane, and absence of significant non-Boussinesq effects, in turbulent convection near the ultimate-state transition"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","049401"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","New Journal of Physics"],["dc.bibliographiccitation.volume","13"],["dc.contributor.author","Ahlers, Guenter"],["dc.contributor.author","Funfschilling, Denis"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.date.accessioned","2022-06-08T07:58:58Z"],["dc.date.available","2022-06-08T07:58:58Z"],["dc.date.issued","2011"],["dc.identifier.doi","10.1088/1367-2630/13/4/049401"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/110590"],["dc.notes.intern","DOI-Import GROB-575"],["dc.relation.eissn","1367-2630"],["dc.title","Transitions in heat transport by turbulent convection at Rayleigh numbers up to 10 15"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","374"],["dc.bibliographiccitation.journal","Journal of Fluid Mechanics"],["dc.bibliographiccitation.lastpage","390"],["dc.bibliographiccitation.volume","851"],["dc.contributor.author","Weiss, Stephan"],["dc.contributor.author","He, Xiaozhou"],["dc.contributor.author","Ahlers, Guenter"],["dc.contributor.author","Bodenschatz, Eberhard"],["dc.contributor.author","Shishkina, Olga"],["dc.date.accessioned","2020-12-10T15:22:10Z"],["dc.date.available","2020-12-10T15:22:10Z"],["dc.date.issued","2018"],["dc.identifier.doi","10.1017/jfm.2018.507"],["dc.identifier.eissn","1469-7645"],["dc.identifier.issn","0022-1120"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/73294"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.title","Bulk temperature and heat transport in turbulent Rayleigh–Bénard convection of fluids with temperature-dependent properties"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]