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Explore the complexities of potential flow past a circular cylinder in this 50-minute lecture, beginning with a revision of D'Alembert's paradox and its prediction of zero drag. Examine how adding circulation to the flow field through the concept of a point vortex introduces non-uniqueness to the solution and creates asymmetry in both flow and pressure fields. Discover how this circulation generates lift forces even when the cylinder itself is not rotating, while drag remains zero. Investigate the fundamental questions surrounding the source of circulation, methods to resolve the zero drag paradox, and the broader implications of zero drag predictions in steady irrotational flow scenarios.
Syllabus
Irrotational flow - IV: Potential flow past a rotating circular cylinder
Taught by
NPTEL-NOC IITM