Eulerian derivation of non-inertial navier-stokes equations for compressible flow in constant, pure rotation

Abstract

Papers presented to the 11th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, South Africa, 20-23 July 2015.This paper presents an Eulerian Derivation of the non- inertial Navier-Stokes equations for compressible flow in constant, pure rotation. The method that is presented is an extension of work done by Kageyama & Hyodo [4] where the momentum equation in incompressible conditions was derived. It is shown that no fictitious effects are present in the non- inertial mass and energy conservation equations. The origin of the Coriolis and centrifugal forces in the momentum equation is shown.