Spatially Developing Shear Flows: Instability

This lecture covers the spatial development of shear flows, focusing on the Kelvin-Helmholtz instability and various types of flow instabilities such as vortex shedding, flow separation, and Rayleigh-Taylor instability. The instructor discusses the characteristics of flat plate boundary layers, mixing layers, cylinder wakes, and plane channel flows, emphasizing the instability phenomena present in these flow configurations. The lecture also delves into the equations governing shear flows, including the streamfunction formulation and velocity field representation. Kinematic boundary conditions related to impermeability and fluid particle behavior at interfaces are explored in detail.