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We performed two-dimensional numerical simulations of passive stirring of twoliquids which generated two spatially distinguishable paradigmatic velocityflows, viz. few large extended vortices and rapid oscillations. Using theOkubo- Weiss criterion, we mapped regions of stretching and rotation in theflow field. We find that an elementary oscillatory sequence ofstretching-rotation-stretching induces spatial redistribution and steepening ofconcentration gradients, and the aggregation of such sequences determines fluidmixing at a downstream position. Furthermore, we quantify the paradigms of'stretching' and 'folding' by developing measures based on flow topology whichwould facilitate the design of stirring protocols.

Spatially resolved stretching-rotation-stretching sequence in flow topology as elementary structure of fluid mixing