<commit_before>\documentclass{article}
\title{\bf{Turbine Modeling}}
\author{<NAME>, <NAME>, <NAME> \\ Institute for Computational Engineering and Sciences \\ University of Texas at Austin} \date{}

\begin{document}
\maketitle

\newpage

A constant rotation speed turbine. Counter-clockwise spin with angular velocity omega. 

\begin{verbatim}
  base_velocity=
  '{(r<r_max)*(z<zmax)*r*-sin(theta)*omega}{(r<r_max)*(z<zmax)*r*cos(theta)*omega}{0}'
\end{verbatim}

Zmax will be the height of the vanes, which is approximately 0.84 meters in the laboratory, 
and 1.0795 meters for the two-meter SoV configuration. Rmax will be the inner diameter of the vanes. 

\end{document}<commit_msg>updating some text, not done<commit_after>\documentclass{article}
\title{\bf{Turbine Modeling}}
\author{<NAME>, <NAME>, <NAME> \\ Institute for Computational Engineering and Sciences \\ University of Texas at Austin} \date{}

\begin{document}
\maketitle

\newpage

A constant rotation speed turbine. Counter-clockwise spin with angular velocity omega. 

\begin{verbatim}
  base_velocity=
  '{(r<r_max)*(z<zmax)*r*-sin(theta)*omega}{(r<r_max)*(z<zmax)*r*cos(theta)*omega}{0}'
\end{verbatim}

Zmax will be the height of the vanes, which is approximately 0.84 meters in the laboratory, 
and 1.0795 meters for the two-meter SoV configuration. Rmax will be the inner diameter of the vanes. 

We now need to choose $\omega$. Options include: 
\begin{itemize}
   \item Spatial average of the velocity between vanes? (neglects momentum)
   \item A simple control volume 

\end{document}
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