Numerical solutions of single-mode convection equations

Details Numerical solutions of single-mode convection equations Numerical solutions of single-mode convection equations

Jan 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jfm....79....1t&link_type=abstract

Journal of Fluid Mechanics, vol. 79, Jan. 20, 1977, p. 1-31.

Computer Science

Numerical Analysis

32

Boussinesq Approximation, Convective Heat Transfer, Numerical Analysis, Asymptotic Series, Prandtl Number, Rayleigh Number, Temperature Distribution, Velocity Distribution

Scientific paper

In the Boussinesq approximation, single-mode equations describing thermal convection are constructed by expanding the fluctuating velocity and temperature fields in a complete set of functions (or planforms) of the horizontal coordinates and retaining just one term. Numerical solutions of the single-mode equations are investigated, chief consideration being given to hexagonal planforms. Extensive surveys of steady solutions are presented for various Rayleigh numbers, Prandtl numbers, and horizontal wavenumbers. The dependences on Rayleigh number and Prandtl number at very large Rayleigh number are in satisfactory agreement with the results of asymptotic expansions.

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