| Issue |
EPL
Volume 111, Number 4, August 2015
|
|
|---|---|---|
| Article Number | 44005 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/111/44005 | |
| Published online | 11 September 2015 | |
Tailoring boundary geometry to optimize heat transport in turbulent convection
1 Yale University - New Haven, CT, USA
2 Mathematical Institute, University of Oxford - Oxford, UK
3 Istituto per le Applicazioni del Calcolo “Mauro Picone” (C.N.R.) - Rome, Italy
4 Nordita, Royal Institute of Technology and Stockholm University - Stockholm, Sweden
Received: 23 June 2015
Accepted: 19 August 2015
By tailoring the geometry of the upper boundary in turbulent Rayleigh-Bénard convection we manipulate the boundary layer-interior flow interaction, and examine the heat transport using the lattice Boltzmann method. For fixed amplitude and varying boundary wavelength λ, we find that the exponent β in the Nusselt-Rayleigh scaling relation, 
, is maximized at 
, but decays to the planar value in both the large (
) and small (
) wavelength limits. The changes in the exponent originate in the nature of the coupling between the boundary layer and the interior flow. We present a simple scaling argument embodying this coupling, which describes the maximal convective heat flux.
PACS: 47.55.pb – Thermal convection / 47.27.te – Turbulent convective heat transfer
© EPLA, 2015
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