Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection

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Grossmann, Siegfried and Lohse, Detlef (2002) Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection. Physical Review E: Statistical, nonlinear, and soft matter physics, 66 (1). 016305-1. ISSN 1539-3755

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Abstract:The Prandtl and Rayleigh number dependences of the Reynolds number in turbulent thermal convection following from the unifying theory by Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000); Phys. Rev. Lett. 86, 3316 (2001)] are presented and compared with various recent experimental findings. This dependence Re(Ra,Pr) is more complicated than a simple global power law. For Pr=5.5 and 108<Ra<1010 the effective or local power law exponent of Re as a function of Ra is definitely less than 0.50, namely, Re~Ra0.45, in agreement with Qiu and Tong¿s experimental findings [Phys. Rev. E 64, 036304 (2001)]. We also calculated the kinetic boundary layer width. Both in magnitude and in Ra scaling it is consistent with the data.
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Copyright:© 2002 The American Physical Society
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Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/43794
Official URL:http://dx.doi.org/10.1103/PhysRevE.66.016305
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