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Classroom Notes: Fluid Flow Past a Cylinder

Reza Malek-Madani
Organization: U.S. Naval Academy
Department: Department of Mathematics

Jack K. Cohen
Organization: Center for Wave Phenomena, Colorado School of Mines
Journal / Anthology

The Mathematica Journal
Year: 1996
Volume: 6
Issue: 1
Page range: 49-52

The flow of an incompressible fluid past a cylinder is one of the first mathematical models that a student of fluid dynamics encounters. This flow is an excellent vehicle for the study of concepts that will be encountered numerous times in mathematical physics, such as vector fields, coordinate transformations, and most important, the physical interpretation of mathematical results. Here, we obtain the contour of the particle trajectories, determine the locus of the extrema of the speed of each particle, and analyze graphically the geometrical deformation of a parcel of fluid under the action of the flow.

*Science > Physics > Fluid Mechanics