Frictional boundary layer effect on vortex condensation in rotating turbulent convection

We perform direct numerical simulations of rotating Rayleigh--Bénard convection of fluids with low (\(Pr=0.1\)) and high (\(Pr=5\)) Prandtl numbers in a horizontally periodic layer with no-slip top and bottom boundaries. At both Prandtl numbers, we demonstrate the presence of an upscale transfer of...

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Bibliographic Details
Published in:arXiv.org 2020-01
Main Authors: Aguirre Guzmán, Andrés J, Madonia, Matteo, Cheng, Jonathan S, Ostilla-Mónico, Rodolfo, Clercx, Herman J H, Kunnen, Rudie P J
Format: Article
Language:English
Subjects:
Boundary layers
Computational fluid dynamics
Computer simulation
Fluid flow
Kinetic energy
Rayleigh-Benard convection
Rotating fluids
Rotation
Turbulent flow
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Summary:We perform direct numerical simulations of rotating Rayleigh--Bénard convection of fluids with low (\(Pr=0.1\)) and high (\(Pr=5\)) Prandtl numbers in a horizontally periodic layer with no-slip top and bottom boundaries. At both Prandtl numbers, we demonstrate the presence of an upscale transfer of kinetic energy that leads to the development of domain-filling vortical structures. Sufficiently strong buoyant forcing and rotation foster the quasi-two-dimensional turbulent state of the flow, despite the formation of plume-like vertical disturbances promoted by so-called Ekman pumping from the viscous boundary layer.
ISSN:2331-8422
DOI:10.48550/arxiv.2001.11889