2020/01/03 by Steven Nerney, Nerney, Steven, Edward Nerney +1
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Applied Physics (physics.app-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid dynamics and aerodynamics studies #Phase Equilibria and Thermodynamics
paper · pdf · doi:10.48550/arxiv.2001.05850
openalex publication_date 2020/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the Navier Stokes equation, and show that all non-viscous, irrotational flows are barotropic. As far as we know, this has never been stated in the literature before, and indirectly suggests that vorticity is required to make these flows non-barotropic. Both the pressure, temperature, speed, entropy, enthalpy, and a Bernoulli function are derived to be only functions of the density (which is a function of space and time). When we also require steady flow, the Bernoulli function is a constant in all space, not just on streamlines.