Tailoring boundary geometry to optimize heat transport in turbulent convection

QC 20151106
By tailoring the geometry of the upper boundary in turbulent Rayleigh-Benard 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., we find that the exponent beta in the Nusselt-Rayleigh scaling relation, Nu - 1 proportional to Ra-beta, is maximized at lambda =lambda(max) approximate to ( 2 pi)(-1), but decays to the planar value in both the large (lambda >> lambda(max)) and small (lambda << lambda(max)) 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.

Wettlaufer, John S.KTH,Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Yale University, USA; University of Oxford, UK,Nordic Institute for Theoretical Physics NORDITA,Yale University, United States; University of Oxford, United Kingdom(Swepub:kth)u1uodjuu (författare)
Wettlaufer, John S.KTH,Nordic Institute for Theoretical Physics NORDITA,Yale University, United States; University of Oxford, United Kingdom(Swepub:kth)u1uodjuu (författare)
Stockholms universitetNordiska institutet för teoretisk fysik (Nordita) (creator_code:org_t)

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