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• W2000234030 abstract "We study transport of a weakly diffusive pollutant (a passive scalar) through thermoconvective flow in a fluid-saturated horizontal porous layer heated from below under frozen parametric disorder. In the presence of disorder (random frozen inhomogeneities of the heating or of macroscopic properties of the porous matrix), spatially localized flow patterns appear below the convective instability threshold of the system without disorder. Thermoconvective flows crucially affect the transport of a pollutant along the layer, especially when its molecular diffusion is weak. The effective (or eddy) diffusivity also allows us to observe the transition from a set of localized currents to an almost everywhere intense 'global' flow. We present results of numerical calculation of the effective diffusivity and discuss them in the context of localization of fluid currents and the transition to a 'global' flow. Our numerical findings are in good agreement with the analytical theory that we develop for the limit of a small molecular diffusivity and sparse domains of localized currents. Though the results are obtained for a specific physical system, they are relevant for a broad variety of fluid dynamical systems." @default.
• W2000234030 created "2016-06-24" @default.
• W2000234030 creator A5065112918 @default.
• W2000234030 creator A5085473212 @default.
• W2000234030 date "2009-01-06" @default.
• W2000234030 modified "2023-09-23" @default.
• W2000234030 title "Diffusion of a passive scalar by convective flows under parametric disorder" @default.
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• W2000234030 doi "https://doi.org/10.1088/1742-5468/2009/01/p01024" @default.
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