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We report on the design, construction, and operation of a rotational mixing apparatus that magnetically rotates a thin metal rod interacting with tracers suspended in a high-viscosity fluid. The purpose of this apparatus is to achieve Stokes flow, defined as having a Reynolds number below 0.001, where viscous forces dominate over inertial forces in a fluid system. The apparatus, designed using 3D modeling software and constructed using additive manufacturing techniques, holds a rod at a fixed angle with a magnetic field and rotates the rod conically about a fixed point. Tracer trajectories within the fluid were tracked using a custom implementation of the Open-CV python library that analyzed video of the fluid mixing captured by a document camera. It is intended that this apparatus will be used in future research to investigate rotational mixing of viscous fluids, with applications to clinical research in medical science.


Dr. Michael Olson, Physics and Dr. Terry Jo Leiterman, Mathematics

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physics, mathematics, Stokes flow

Designing an Experimental Apparatus for Rotational Mixing in Stokes Flow

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