Fluid Kinematics: Euler/Lagrange

This lecture introduces the concept of fluid kinematics, focusing on Eulerian and Lagrangian descriptions of fluid motion without considering the forces at play. It covers topics such as fluid properties, continuum hypothesis, total derivative, material derivative, acceleration, path lines, streamlines, and gradient of scalar and vector fields. The lecture also delves into deformation of fluid parcels, rotation, vorticity, and Laplacian. Various physical interpretations and mathematical applications are discussed, providing a comprehensive understanding of fluid behavior.