Publication Abstracts
Hartke et al. 1988
Hartke, G.J.,
, and W.P. Dannevik, 1988: A direct interaction approximation treatment of high Rayleigh number convective turbulence and comparison with experiment. Phys. Fluids, 31, 256-262, doi:10.1063/1.866856.Recently published experimental results [Int. J. Heat Mass Transfer, 23, 738 (1980)] on thermally driven high Rayleigh number turbulent convection have shown that the N $propto$ R(2/7) relation (where N is the Nusselt number and R is the Rayleigh number), which is valid up to R ≅ 5×108, is superceded at this point by the relation N = Aσ*R(1/3) that holds at least up to R ≅ 1011. For water (Prandtl number σ = 6.6), the experimental value for Aσ was found to be Aσ = 0.0556±0.001. In the present work, the equations for a turbulent fluid driven by thermal convection are solved using the two-point closure prescription of the direct interaction approximation. The theoretical N vs R relation at high R is found to be of the form N = Aσ*R(1/3) and for σ = 6.6, and the predicted value of the coefficient Aσ is computed to be Aσ ≲ 0.08, in good agreement with the experimental value. Extension of the model to situations other than convection is discussed.
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BibTeX Citation
@article{ha02000x, author={Hartke, G. J. and Canuto, V. M. and Dannevik, W. P.}, title={A direct interaction approximation treatment of high Rayleigh number convective turbulence and comparison with experiment}, year={1988}, journal={Physics of Fluids}, volume={31}, pages={256--262}, doi={10.1063/1.866856}, }
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RIS Citation
TY - JOUR ID - ha02000x AU - Hartke, G. J. AU - Canuto, V. M. AU - Dannevik, W. P. PY - 1988 TI - A direct interaction approximation treatment of high Rayleigh number convective turbulence and comparison with experiment JA - Phys. Fluids JO - Physics of Fluids VL - 31 SP - 256 EP - 262 DO - 10.1063/1.866856 ER -
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