Inviscid Flows: Understanding Fluid Dynamics

This lecture delves into the analysis of inviscid flows, focusing on the Navier-Stokes equations and the Euler equation. The instructor explains the importance of the Reynolds number in determining the dominance of inertia over viscosity in fluid dynamics. By comparing the scaling of viscous and inertial terms, the lecture explores the conditions under which viscosity can be ignored. The discussion extends to linear deformations in fluid elements, emphasizing the role of velocity gradients in determining deformation. Additionally, the concept of volume change in deforming fluid elements is explored, highlighting the significance of incompressibility in maintaining volume. The lecture concludes with a teaser on angular deformations in fluid dynamics.