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Classifying Prime Character Degree Graphs, Sara Degroot
Classifying Prime Character Degree Graphs, Sara Degroot
Student Presentations
In our work, we construct a family of graphs. We then classify whether or not each of these graphs occur as the prime character degree graph for some solvable group, with two notable exceptions. In this poster, we more closely investigate these two aforementioned graphs.
Designing An Experimental Apparatus For Rotational Mixing In Stokes Flow, William Bethard, Logan Hennes
Designing An Experimental Apparatus For Rotational Mixing In Stokes Flow, William Bethard, Logan Hennes
Student Presentations
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 …