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In this lecture, we discuss methods for visualizing a flow field and develop tools to better diagnose flows. Pathlines, streaklines, and streamlines are all different ways to visualize a flow, yet in a steady flow they're all the same. We mathematically define streamlines in detail, then build a new “stream function“ that defines the set of streamlines based upon the velocity field. Free downloadable notes (PDF with white background) can be found at my website:
