Lecture
This lecture introduces a new chapter focusing on powerful tools to analyze practical fluid mechanics problems. The instructor explains the development of tools based on the Reynolds transport theorem, emphasizing mass conservation, Newton's second law, and energy conservation. The lecture demonstrates the application of the Reynolds transport theorem to convert Lagrangian laws into Eulerian laws, leading to the continuity equation. Through a detailed example involving a nozzle, the instructor illustrates how to apply these principles to solve fluid mechanics problems, emphasizing the importance of choosing the right control volume. The lecture concludes by deriving Newton's second law in an Eulerian control volume and discussing the importance of working in an inertial frame of reference.