Nonlinear double-diffusive convection

Details Nonlinear double-diffusive convection Nonlinear double-diffusive convection

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jfm....78..821h&link_type=abstract

Journal of Fluid Mechanics, vol. 78, Dec. 22, 1976, p. 821-854. Research supported by the Science Research Council and Ministry

Astronomy and Astrophysics

Astrophysics

62

Convective Heat Transfer, Oscillating Flow, Rayleigh Number, Two Dimensional Flow, Astrophysics, Asymptotic Methods, Branching (Mathematics), Nusselt Number, Oceanography, Perturbation Theory, Salts

Scientific paper

The paper analyzes a model of double-diffusive convection related to the two-dimensional motion of a fluid heated and salted from below, occupying the space between two infinite horizontal planes separated by a given distance. The possible forms of large-amplitude motions are determined as a function of the nondimensional Rayleigh number, saline Rayleigh number, Prandtl number, and ratio of the diffusivities. A branch of time-dependent asymptotic solutions is found which bifurcates from the linear oscillatory instability point. However, if the temperature gradient is sufficiently large compared with the salinity gradient, nonlinear disturbances may exist which lead to time-independent motion. Attention is focused on an evaluation of the conditions under which the time-independent form of motion can occur.

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