Publication Abstracts

Savolainen et al. 1992

Savolainen, V., V.M. Canuto, and O. Schilling, 1992: Penetrative convection: Parameterized expression for the growth rates. Phys. Fluids A, 4, 626-629, doi:10.1063/1.858278.

The equations determining the linear growth rate ω characterizing a convectively unstable fluid with Rayleigh number Ru bounded below by an impenetrable free boundary and above by a convectively stable fluid with Rayleigh number Rs, are solved numerically. Using the analytical Rayleigh-Bénard growth rate ωRB as a convenient functional form it is possible to fit the numerical values for ω if the vertical wave number kz = nπ and the Rayleigh number RRB are taken to be functions of Rs, Ru, and the horizontal wave number kL, rather than n = integer as in the Rayleigh-Bénard case. In additional, contrary to Rayleigh-Bénard convection, in which the critical Rayleigh number is fixed (RcrRB = 657.5), it is found that Rcru is variable in the presence of a stable layer, i.e., it depends on Rs. Specifically, for Rs < 6300, Rcru < RcrRB so that the stable fluid hastens the onset of convection; on the other hand, when Rs > 6300, Rcru > RcrRB so that the system becomes more stable.

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BibTeX Citation

@article{sa07000g,
  author={Savolainen, V. and Canuto, V. M. and Schilling, O.},
  title={Penetrative convection: Parameterized expression for the growth rates},
  year={1992},
  journal={Phys. Fluids A},
  volume={4},
  pages={626--629},
  doi={10.1063/1.858278},
}

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RIS Citation

TY  - JOUR
ID  - sa07000g
AU  - Savolainen, V.
AU  - Canuto, V. M.
AU  - Schilling, O.
PY  - 1992
TI  - Penetrative convection: Parameterized expression for the growth rates
JA  - Phys. Fluids A
VL  - 4
SP  - 626
EP  - 629
DO  - 10.1063/1.858278
ER  -

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