Differential Analysis Fluid Flow

This lecture covers the types of motion and deformation for a fluid element, including translation, rotation, linear deformation, and angular deformation. It explains velocity and acceleration fields, as well as the differential analysis of fluid flow, focusing on linear and angular motion and deformation. The lecture also delves into the rotation vector, vorticity, and the conservation of mass equation in differential form. Examples are provided to illustrate concepts such as vorticity, angular deformation, and shearing strain. Additionally, the lecture discusses the stream function, its properties, and its application in cylindrical coordinates. The conservation of linear momentum is also addressed.