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Rotating non-Oberbeck--Boussinesq Rayleigh-Bénard convection in water

Horn, Susanne and Shishkina, Olga (2014) Rotating non-Oberbeck--Boussinesq Rayleigh-Bénard convection in water. Physics of Fluids, 26 (5), pp. 1-19. American Institute of Physics (AIP). doi: 10.1063/1.4878669. ISSN 1070-6631.

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Official URL: http://dx.doi.org/10.1063/1.4878669


Rotating Rayleigh-Bénard convection in water is studied in direct numerical simulations, where the temperature dependence of the viscosity, the thermal conductivity and the density within the buoyancy term is taken into account. In all simulations the arithmetic mean of the lowest and highest temperature in the system equals 40°C, corresponding to a Prandtl number of Pr = 4.38. In the non-rotational case the Rayleigh number Ra ranges from 107 to 1.16 × 109 and temperature differences Δ up to 70K are considered, whereas in the rotational case the Rossby number range from 0.05 ≤ Ro ≤ 10.0 is studied for Δ = 40K with the focus on Ra = 108. The non-Oberbeck-Boussinesq (NOB) effects in water are reflected in an up to 5.5K enhancement of the center temperature and in an up to 5% reduction of the Nusselt number. The top thermal and viscous boundary layer thicknesses increase and the bottom ones decrease, while the sum of the corresponding top and bottom thicknesses remains as in the classical Oberbeck-Boussinesq (OB) case. Rotation applied to NOB thermal convection reduces the central temperature enhancement. Under NOB conditions the top (bottom) thermal and viscous boundarylayers become equal for slightly smaller (larger) Rossby number than in the OB case. Furthermore, for rapid rotation the thermal bottom boundary layers become thicker than the top ones. The Nusselt number normalized by that in the non-rotating case depends similarly on Ro in both, the NOB and the OB cases. The deviation between the Nusselt number under OB and NOB conditions is minimal when the thermal and viscous boundary layers are equal.

Item URL in elib:https://elib.dlr.de/87739/
Document Type:Article
Additional Information:Published online 28 May 2014
Title:Rotating non-Oberbeck--Boussinesq Rayleigh-Bénard convection in water
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Journal or Publication Title:Physics of Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 1-19
Publisher:American Institute of Physics (AIP)
Keywords:Rayleigh-Bénard convection, rotating flows
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Terrestrial Vehicles (old)
DLR - Research area:Transport
DLR - Program:V BF - Bodengebundene Fahrzeuge
DLR - Research theme (Project):V - Next Generation Train III (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Fluid Systems
Deposited By: Micknaus, Ilka
Deposited On:12 Jun 2014 15:18
Last Modified:11 Jun 2021 04:13

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