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Moderate spatial confinement enhances the heat transfer in turbulent Rayleigh-Bénard (RB) convection [Chong et al., PRL 115, 264503 (2015)]. Here, by performing direct numerical simulations, we answer the question how the shape of the RB cell affects this enhancement. We compare three different geometries: a box with rectangular base (i.e., stronger confined in one horizontal direction), a box with square base (i.e., equally confined in both horizontal directions), and a cylinder (i.e., symmetrically confined in the radial direction). In all cases the confinement can be described by the same confinement parameter Γ-1, given as height-over-width aspect ratio. The explored parameter range is 1≤Γ-1≤64, 107≤Ra≤1010 for the Rayleigh number, and a Prandtl number of Pr=4.38. We find that both the optimal confinement parameter Γ-1opt for maximal heat transfer and the actual heat transfer enhancement strongly depend on the cell geometry. The differences can be explained by the formation of different vertically-coherent flow structures within the specific geometries. The enhancement is largest in the cylindrical cell, owing to the formation of a domain-spanning flow structure at the optimal confinement parameter Γ-1opt.
|Publication status||Published - 24 Sep 2021|
- heat transfer
- direct numerical simulation
- computational fluid dynamics
- fluid mechanics
- fluid dynamics
- thermal convection
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- 1 Oral presentation
Heat transport enhancement in confined Rayleigh-Bénard convection feels the shape of the container
Robert Hartmann (Speaker), Kai Leong Chong (Contributor), Richard J.A.M. Stevens (Speaker), Roberto Verzicco (Contributor) & Detlef Lohse (Contributor)21 Nov 2021
Activity: Talk or presentation › Oral presentation