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Explore the fundamental principles of potential flow theory through a comprehensive 52-minute lecture that examines flow patterns around a circular cylinder. Begin with a revision of flow kinematics past a Rankine half-body before constructing potential flow around a circular cylinder using superposition of uniform flow and doublet solutions. Derive the analytical expressions for velocity and pressure fields, and learn to apply the pressure coefficient concept to characterize pressure distribution along the cylinder surface. Calculate drag and lift forces acting on the cylinder, leading to an understanding of D'Alembert's paradox, which demonstrates the counterintuitive result of zero drag on a body in ideal, inviscid flow. Conclude by examining the inherent limitations of potential flow theory and prepare for advanced topics including boundary layer theory and flow separation phenomena that address real-world viscous flow behavior.
