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Confined inclined thermal convection in low-Prandtl-number fluids

Published online by Cambridge University Press:  10 July 2018

Lukas Zwirner Open the ORCID record for Lukas Zwirner [Opens in a new window]  and
Olga Shishkina Open the ORCID record for Olga Shishkina [Opens in a new window]
Lukas Zwirner*
Affiliation:
Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany
Olga Shishkina
Affiliation:
Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany
*
†Email address for correspondence: [email protected]
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Abstract

Any tilt of a Rayleigh–Bénard convection cell against gravity changes the global flow structure inside the cell, which leads to a change of the heat and momentum transport. Especially sensitive to the inclination angle is the heat transport in low-Prandtl-number fluids and confined geometries. The purpose of the present work is to investigate the global flow structure and its influence on the global heat transport in inclined convection in a cylindrical container of diameter-to-height aspect ratio $\unicode[STIX]{x1D6E4}=1/5$. The study is based on direct numerical simulations where two different Prandtl numbers $Pr=0.1$ and 1.0 are considered, while the Rayleigh number, $Ra$, ranges from $10^{6}$ to $10^{9}$. For each combination of $Ra$ and $Pr$, the inclination angle is varied between 0 and $\unicode[STIX]{x03C0}/2$. An optimal inclination angle of the convection cell, which provides the maximal global heat transport, is determined. For inclined convection we observe the formation of two system-sized plume columns, a hot and a cold one, that impinge on the opposite boundary layers. These are related to a strong increase in the heat transport.

JFM classification

Convection: Convection in cavities Turbulent Flows: Turbulent convection
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 850 , 10 September 2018 , pp. 984 - 1008
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Copyright
© 2018 Cambridge University Press 

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Zwirner and Shishkina supplementary movie 1

Isosurfaces of the temperature for Pr=1, Ra=10^8 and β/π=0.

Download Zwirner and Shishkina supplementary movie 1(Video)
Video 2.8 MB

Zwirner and Shishkina supplementary movie 2

Isosurfaces of the temperature and streamlines for Pr=1, Ra=10^8 and β/π=0.15.

Download Zwirner and Shishkina supplementary movie 2(Video)
Video 36 MB