2022/11/20 by Peng Shi, Shi, Peng
Computer Science · Engineering · Physics and Astronomy · #Computational Physics and Python Applications #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis
paper · pdf · doi:10.48550/arxiv.2211.11104
openalex publication_date 2022/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The study rederives the fundamental equations of fluid flow and examines the inherent relationship between momentum conservation and mechanical energy conservation. It is shown that the material derivative of velocity is to depict the acceleration of fluid particles in Eulerian perspective, and momentum conservation and mechanical energy conservation are the same concept termed in different descriptions. According to the study, the traditional formula for energy conservation of fluid fails to distinguish the difference between physical quantities described in Lagrangian and Eulerian perspectives. The study simplifies the energy conservation of incompressible Newtonian fluid to be internal energy conservation.