Lecture
This lecture delves into the concept of energy conservation in fluid flows, starting with the first law of thermodynamics applied to Lagrangian and Eulerian systems. The discussion progresses to the derivation of the 1D energy equation, which resembles the Bernoulli equation but includes additional terms related to heat transfer and work. The lecture then explores the application of energy conservation in practical scenarios, such as analyzing losses in pumping water for energy storage systems. The instructor emphasizes the importance of understanding the fundamental laws of physics, such as conservation of mass and energy, in solving fluid mechanics problems. The lecture concludes by introducing the differential analysis of fluid flows, drawing parallels to the derivation process of the diffusion equation.