Buckingham Pi theorem [Fluid Mechanics #6]

Buckingham Pi theorem [Fluid Mechanics #6]

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Buckingham Pi theorem [Fluid Mechanics #6]
In this video, we introduce the Buckingham-Pi Theorem. This is a procedural way to find non-dimensional numbers from a group of parameters in a problem. We go through the process, step-by-step, and find the non-dimensional parameters for examples in both Hydrodynamics and Aerodynamics. Common numbers we see pop out are the Reynolds number, Euler number, and aerodynamic coefficients. This is an important tool to have in your belt when approaching new problems, as non-dimensional numbers are key for analysis and scaling. Free downloadable notes (PDF with white background) can be found at my website: https://sites.udel.edu/vanburen/education/