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