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

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.
Item Type:	Article
Copyright:	© 2002 The American Physical Society
Faculty:	Science and Technology (TNW)
Research Group:	Physics of Fluids (POF)
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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