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• W2015548929 abstract "Abstract In this communication, the stability of the double-diffusive solar ponds has been investigated in the linear approximation. The corresponding linearized system of equations of motion is reduced to a single integro-differential equation using the Green-function technique. In contrast to the conclusions of Veronis that, initially, the instability occurs as an oscillatory mode and at a value of RT (Rayleigh number for temperature) greater than RS the motion becomes steady, the present analysis shows that, initially, as RT increases from zero but remains considerably less than RS, exponentially growing and decaying modes (steady motion) occur first; for a value of RT more than a critical value RTc, the motion becomes oscillatory. This oscillatory motion may, due to the basic non-linear dynamics of the system, even become aperiodic. Further, for RS → ∞, the minimum value of RT for which steady motions can occur tends to K − 1 2 ·R S , where K = K S /K T where KS and KT are diffusivity coefficients for salt and temperature, respectively; as a contrast, according to Veronis, R T a σ −1 R S ; σ = v/K T , v being the kinematic viscosity." @default.
• W2015548929 created "2016-06-24" @default.
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• W2015548929 date "1983-01-01" @default.
• W2015548929 modified "2023-09-27" @default.
• W2015548929 title "Linear stability analysis of double-diffusive solar pond" @default.
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• W2015548929 doi "https://doi.org/10.1016/0196-8904(83)90062-6" @default.
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