Review of Governing Equations: Navier-Stokes Equations and Energy Equation

Delve into the fundamental principles of fluid dynamics through an in-depth examination of governing equations, focusing on the Navier-Stokes equations and the energy equation. Explore fluid flow variables, the equation of state, and Newton's law of viscosity for shear stress modeling. Follow the step-by-step derivation of the Navier-Stokes equation from the conservation of momentum principle, and gain insights into the simplification of the energy equation. This comprehensive 50-minute lecture provides a solid foundation for understanding the mathematical framework that describes fluid behavior, essential for advanced studies in fluid mechanics and related fields.