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People: Teo Burghelea (playing as both student and advisor...)
This is an ongoing project that aims to clarify to role of the shear thining during the mixing by laminar chaotic advection. To do so, we perform numerical simulations using the Gerris flow solver developed by Dr. Stephane Popinet. As a flow configuration, we use the rotating arc wall mixer developed within yhe Naymis project and described here. Through all the simulations, we keep Re=1, St=1, Pe=10e7 and vary the power law index from n=1 (Newtonian case, no yield stress here) to n=0.2.
As reference, we chose a forcing scheme that leads to rather poor mixing in the Newtonian case (n=1). This is illustarted in the movie below.
Next, while keeping the same non-dimensional numbers the same (Re=1, St=1, Pe=10e7) but decreasing the power law index to n=0.2, the mixing dynamics changes dramatically - see the animation below.
A more quantitative picture is provided in the figure below where the mixing efficiency is plotted as a function of the power law index.
The overall conclusion of this study is that, at a fixed Re, St and Pe the shear thinning character of the fluids enhances dramatically the mixing.
The overall conclusion of this study is that, at a fixed Re, St and Pe the shear thinning character of the fluids enhances dramatically the mixing.
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