Publication Abstracts

Hartke et al. 1988

Hartke, G.J., V.M. Canuto, 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R(2/7) relation (where N is the Nusselt number and R is the Rayleigh number), which is valid up to R ≅ 5×108, is superceded at this point by the relation N = Aσ*R(1/3) that holds at least up to R ≅ 1011.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.

Export citation: [ BibTeX ] [ RIS ]

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={Phys. Fluids},
  volume={31},
  pages={256--262},
  doi={10.1063/1.866856},
}

[ Close ]

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
VL  - 31
SP  - 256
EP  - 262
DO  - 10.1063/1.866856
ER  -

[ Close ]

• Return to 1988 Publications

• Return to Publications Homepage