Basic Aerodynamics & Incompressible Inviscid

1. Using the principles of conservation of mass and momentum, explain how velocity potential and stream function are derived for incompressible inviscid flows. Discuss their physical significance. 2. Explain non-dimensional analysis and flow similarity and demonstrate how they are applied to elementary flows such as source, sink, and vortex flows. 3. Derive the substantial derivative from basic fluid mechanics and explain its role in describing particle motion in ideal fluid flows.