Conservation of Momentum in Nozzle Flow

This lecture builds upon the conservation of mass equation in a quasi-one-dimensional nozzle, introducing the conservation of momentum. The instructor explains the terms involved in the momentum conservation equation, including the temporal variation of momentum and the momentum flow through the control volume. The forces acting on the control volume, such as pressure and viscous forces, are discussed. By assuming certain flow conditions, the equation simplifies to a form resembling the Euler equation. The derivation involves integrating terms over control volume surfaces and considering pressure variations. The resulting equation resembles the inviscid form of the Navier-Stokes equations, tailored for one-dimensional, unsteady flow. The lecture concludes by hinting at the upcoming analysis of flow behavior at different Mach numbers and geometries.