ABSTRACT

Chapter 4 Energy Equation presents and applies the principles of fluid dynamics (conservation of momentum/Newton's second law of motion), which yield the equations of motion, known as the energy equation and the momentum equation. The conservation of momentum is presented in both the Eulerian (integral) and the Lagrangian (differential) approaches. Chapter 4 also presents and applies the principle of conservation of energy (the first law of thermodynamics), which yields the energy equation. The conservation of energy is presented in both the Eulerian (integral) and the Lagrangian (differential) approaches. While the energy equation that is derived based on the conservation of momentum principle allows for the modeling of unsteady flow, it does not directly consider the modeling of energy transfer by work (pumps, turbines, etc.). And while the energy equation that is derived based on the conservation of energy principle assumes steady flow, it directly considers the modeling of energy transfer by work (pumps, turbines, etc.).