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The governing equations are the continuity and Navier-Stokes equations. These equations are written in a steady rotating frame of reference rotating with the blade. This has the advantage of making our simulation not require a moving mesh to account for the rotation of the blade. 

This form of the Navier Stokes equations has additional terms, namely the centripetal acceleration term and the Coriolis term. The equations that we will use look as follows:

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Where {latex}$\vec{v}^{\,}_r${latex} is the relative velocity (the velocity viewed from the moving frame) and {latex}$\vec{\omega}^{\,}${latex} is the angular velocity.
 
 

Note the additional terms for the centripetal acceleration and Coriolis force in the Navier-Stokes equations. In Fluent, we'll turn on the additional terms for a moving frame of reference and input {latex}$\vec{\omega}^{\,}=\omega -2.22  \mathbf{\hat{k}}${latex}.

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