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

Combrinck, M.L.; Dala, L.N.; Lipatov, I.

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

Combrinck, M.L.; Dala, L.N.; Lipatov, I.

URI: http://hdl.handle.net/2263/55974

Date: 2015

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.

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