Lecture
This lecture covers the derivation of the conservation equations in fluid dynamics, focusing on mass, momentum, energy conservation, and the equation of state. The instructor emphasizes the importance of these equations in understanding fluid behavior and their application in various engineering problems. The lecture also discusses the significance of the Rayleigh number in characterizing fluid flow patterns and the impact of thermal expansion on fluid properties. Additionally, it explores the role of density variations in heat transfer and the influence of boundary conditions on heat flux. Practical examples and theoretical concepts are used to illustrate the application of these equations in real-world scenarios.