The discussion focuses on energy conservation principles for Newtonian fluids, specifically referencing the Mechanical Energy Balance Equation derived from the momentum balance equation. Key resources include "Transport Phenomena" by Bird, Stewart, and Lightfoot, which outlines the necessary derivations. The continuity equation, represented as div v = 0, is also emphasized as a foundational concept in fluid dynamics. The relationship between the Mechanical Energy Balance Equation and the Overall Energy Balance equation is highlighted, leading to the formulation of the Thermal Energy Balance equation.
PREREQUISITESStudents and professionals in mechanical engineering, fluid dynamics researchers, and anyone interested in the principles of energy conservation in Newtonian fluids.
The derivation you are looking for is in Transport Phenomena by Bird, Stewart, and Lightfoot. It involves dotting the equation of motion (momentum balance equation) with the velocity vector. Incidentally, this is called the Mechanical Energy Balance Equation. It can be combined with the Overall Energy Balance equation to yield the Thermal Energy Balance equation.Display_Name said: