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This lecture delves into data-driven analysis and modeling of unsteady vortex dominated flows, focusing on vortex formation, trajectory, and timing. It covers the dynamics of primary and secondary vortices, stall onset prediction, dynamic stall modeling, and separation control. The instructor explores the temporal evolution of shear layer roll-up, the strength of vortices, and the timing of secondary vortex shedding. Additionally, the lecture discusses the dynamic stall response, empirical time constants, and the functional relationship for stall delay. It also touches upon the modeling of dynamic stall on Vertical Axis Wind Turbines (VAWT) and the optimization of flapping wing kinematics through parameter space exploration.