Hydrodynamics: Hele Shaw Approximation

This lecture introduces the Hele Shaw approximation for fluid flow, focusing on flow in a Hele-Shaw cell and potential flow in the x-y plane. The equations governing the flow in a Hele-Shaw cell are discussed, along with the concept of depth-averaged flow. The lecture also covers the flow in rectangular and triangular ducts, emphasizing the key equations and principles governing the flow patterns. Towards the end, the lecture delves into the Navier-Stokes equations and the disappearance of inertial terms in strictly parallel flows due to geometric constraints.