Pore-scale disorder accelerates fluid stretching in porous media, producing quadratic time growth and faster mixing than the linear growth seen in ordered structures.
Line Stretching in Random Flows
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abstract
How finite-sized material lines stretch in chaotic (mono-scale) and turbulent (multi-scale) flows remains a central but unresolved problem that governs mixing, transport and reaction. We show elongation is controlled by a finite-sampling process balancing ensemble and temporal averaging that is mediated by particle dispersion. These results expose the rich dynamics of line stretching and compel reassessment of experimental data and models of fluid-borne phenomena.
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A closed theoretical expression for concentration variance in scalar mixing fronts driven by smooth chaotic flows is derived by balancing dispersion and diffusion at an intermediate scale and matches DNS results without fitting parameters.
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How pore-scale disorder controls fluid stretching in porous media
Pore-scale disorder accelerates fluid stretching in porous media, producing quadratic time growth and faster mixing than the linear growth seen in ordered structures.
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Mixing Fronts in Smooth Chaotic Flows
A closed theoretical expression for concentration variance in scalar mixing fronts driven by smooth chaotic flows is derived by balancing dispersion and diffusion at an intermediate scale and matches DNS results without fitting parameters.