Volume 111, Number 4, August 2015
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|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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