This paper presents an Eulerian derivation of the noninertial Navier-Stokes equations for compressible flow in constant, pure rotation. The method that is presented is an extension of work done by Kageyama & Hyodo where the momentum equation in incompressible conditions was derived. It is shown that no fictitious effects are present in the noninertial mass and energy conservation equations. The origin of the Coriolis and centrifugal forces in the momentum equation is shown.
Reference:
Combrinck, ML, Dala, LN, Lipatov, I. 2015. Eulerian derivation of non-inertial Navier-Stokes equations for compressible flow in constant, pure rotation. In: 11th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics - HEFAT 2015, Kruger National Park, South Africa, 20-23 July 2015, pp 894-899
Combrinck, M., Dala, L., & Lipatov, I. (2015). Eulerian derivation of non-inertial Navier-Stokes equations for compressible flow in constant, pure rotation. http://hdl.handle.net/10204/8228
Combrinck, ML, LN Dala, and I Lipatov. "Eulerian derivation of non-inertial Navier-Stokes equations for compressible flow in constant, pure rotation." (2015): http://hdl.handle.net/10204/8228
Combrinck M, Dala L, Lipatov I, Eulerian derivation of non-inertial Navier-Stokes equations for compressible flow in constant, pure rotation; 2015. http://hdl.handle.net/10204/8228 .
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