Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 5: Convection

DY 5.2: Talk

Monday, April 1, 2019, 10:30–10:45, H3

Boundary layers and scaling relations in natural thermal convection — •Olga Shishkina — Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany

Classical setups to study natural thermal convection are vertical convection (VC), where the fluid is confined between two differently heated vertical walls, horizontal convection (HC), where the fluid is heated at one part of the bottom plate and cooled at some other part, and Rayleigh-Benard convection (RBC). Here we consider the boundary-layer (BL) equations in natural thermal convection and derive for some flow configurations the mean flow characteristics and the scaling relations of the Nusselt and Reynolds numbers (Nu, Re) with the Rayleigh and Prandtl numbers (Ra, Pr). For VC the scaling relations are obtained directly from the BL equations (Shishkina, Phys. Rev. E 93 (2016)), while for HC they are derived by extending the Grossmann-Lohse theory for RBC (J. Fluid Mech. 407 (2000)) to the case of VC (Shishkina, Grossmann, Lohse, Geophys. Res. Lett. 43 (2016)).

The work is supported by the Deutsche Forschungsgemeinschaft (DFG) under the grant Sh 405/4 - Heisenberg fellowship.