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- W2063152020 abstract "We report measurements of the temperature variance $sigma^2(z,r)$ and frequency power spectrum $P(f,z,r)$ ($z$ is the distance from the sample bottom and $r$ the radial coordinate) in turbulent Rayleigh-B'enard convection (RBC) for Rayleigh numbers $textrm{Ra} = 1.6times10^{13}$ and $1.1times10^{15}$ and for a Prandtl number $textrm{Pr} simeq 0.8$ for a sample with a height $L = 224$ cm and aspect ratio $D/L = 0.50$ ($D$ is the diameter). For $z/L$ less than or similar to $0.1$ $sigma^2(z,r)$ was consistent with a logarithmic dependence on $z$, and there was a universal (independent of $textrm{Ra}$, $r$, and $z$) normalized spectrum which, for $0.02$ less than or similar to $ftau_0$ less than or similar to $0.2$, had the form $P(ftau_0) = P_0 (ftau_0)^{-1}$ with $P_0 =0.208 pm 0.008$ a universal constant. Here $tau_0 = sqrt{2R}$ where $R$ is the radius of curvature of the temperature autocorrelation function $C(tau)$ at $tau = 0$. For $z/L simeq 0.5$ the measurements yielded $P(ftau_0) sim (ftau_0)^{-alpha}$ with $alpha$ in the range from 3/2 to 5/3. All the results are similar to those for velocity fluctuations in shear flows at sufficiently large Reynolds numbers, suggesting the possibility of an analogy between the flows that is yet to be determined in detail." @default.
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- W2063152020 date "2014-05-02" @default.
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- W2063152020 title "Logarithmic Spatial Variations and Universal<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msup><mml:mi>f</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>Power Spectra of Temperature Fluctuations in Turbulent Rayleigh-Bénard Convection" @default.
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- W2063152020 doi "https://doi.org/10.1103/physrevlett.112.174501" @default.
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