Mixing by stirring: Optimizing shapes and strategies

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Mixing by stirring: Optimizing shapes and strategies
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Using a supercomputer to find the best way to mix two fluids

Closeups of key features of the velocity-optimized stirring protocal. Shedding of stop-vortex by the outer stirrer, aimed for impact on the inner stirrer. Breakdown of large-scale vortical elements via the appendage of the outer stirrer. Generation of shed vortices by oscillatory motion of the outer cylinder, near the end of the optimization horizon.Optimal cross-sectional shapes for both stirrers, using a combined shape-velocity optimization.

The inner stirrer shows similar shape with one conspicuous extended blade.Velocity trace of the two stirrers for the combined shape-velocity optimization, visualized by position samples at equispaced intervals in time. Each time the stirrers change direction, the radius is reduced by a small percentage to avoid visual overlay. The true stirrers, of course, remain on their circular paths. The position is colored from blue to red .

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