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{latex}
\begin{equation*}
\nabla \cdot (\rho \vec{v}^{\,}_r \vec{v}^{\,}_r)+\rho(2 \vec{\omega}^{\,} \times \vec{v}^{\,}_r+\vec{\omega}^{\,} \times \vec{\omega}^{\,} \times \vec{r}^{\,})=-\nabla p +\nabla \cdot \overline{\overline{\tau}}_r
\end{equation*}
{latex}

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

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 and {latex}$vec$\vec{\omega}^{\,}${latex} is the angular velocity.
 
 
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In Fluent, we'll turn on the additional terms for a moving frame of reference

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 and input {latex}$vec$\vec{\omega}^{\,}=\omega  \mathbf{\hat{k}}${latex}.

For more information about flows in a moving frame of reference, visit ANSYS Help View > Fluent > Theory Guide > 2. Flow in a Moving Frame of Reference  and  ANSYS Help Viewer > Fluent > User's Guide > 9. Modeling Flows with Moving Reference Frames

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{latex}
\begin{equation*}
\vec{v}^{\,}(r_1,\theta_1) = \vec{v}^{\,}(r_1,\theta_1 - 120120n)
\end{equation*}
{latex}

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Inlet: Velocity of 12 m/s with turbulent intensity of 5% and turbulent viscosity ratio of 10 

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