6. Appendices

6.1 Appendix 1: Expression of the incompressible Navier-Stokes equations in cylindrical and spherical coordinates

• Expression in cylindrical coordinates

  In cylindrical coordinates, the position of a point P is defined by the distances r and z and by the angle θ (see figure 12 ). The components of the velocity vector in this frame of reference are denoted by u _r , v _θ , w _z . The expression of the incompressible Navier-Stokes equations can then be written as :

  xml...