Prandtl-Blasius temperature and velocity boundary layer profiles in turbulent Rayleigh-Bénard convection

Abstract

The shape of velocity and temperature profiles near the horizontal conducting plates in turbulent Rayleigh-Bénard convection are studied numerically and experimentally over the Rayleigh number range $10^8\lesssim Ra\lesssim 3\times 10^{11}$ and the Prandtl number range $0.7\lesssim Pr\lesssim 5.4$. The results show that both the temperature and velocity profiles well agree with the classical Prandtl-Blasius laminar boundary-layer profiles, if they are re-sampled in the respective dynamical reference frames that fluctuate with the instantaneous thermal and velocity boundary-layer thicknesses.

10 pages, 6 figures

References in corpus (5)

• Flow reversals in thermally driven turbulence
• Origin of the Temperature Oscillation in Turbulent Thermal Convection
• Measured Instantaneous Viscous Boundary Layer in Turbulent Rayleigh-Bénard Convection
• Non-Oberbeck-Boussinesq effects in turbulent thermal convection in ethane close to the critical point
• Scaling in large Prandtl number turbulent thermal convection

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