Hele-Shaw: Hydrodynamics

This lecture covers the fundamentals of hydrodynamics, focusing on Hele-Shaw flow. Topics include boundary conditions, Stokes flow, creeping flow, drag force, flow around a sphere, and flow along a disk. The lecture also discusses the Holmboe regime, confined Holmboe waves, and the three-dimensional structure of flow. The instructor explores the equations governing flow in a Hele-Shaw cell and the implications of inertial effects in flow. Additionally, the lecture delves into the Oseen's paradox, the Stokes equations, and the potential limit of the Stokes equations. Various flow states such as laminar flow, coherent wave state, and turbulence are analyzed.