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Clarify Re in exercise
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milancurcic committed Nov 13, 2024
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Expand Up @@ -4366,6 +4366,7 @@ \subsubsection{Governing equations and boundary conditions}

\begin{equation}
Re \equiv \frac{\left<\overline{u}\right> 2 \delta}{\nu}
\label{eq:Re_bulk}
\end{equation}
where $\left<\overline{u}\right>$ is the mean velocity in the channel (often also called
\textit{bulk velocity}):
Expand Down Expand Up @@ -4849,7 +4850,7 @@ \subsection{Exercises}
of a laminar channel flow. How large is it compared to the centerline velocity
$u_0$? How about the bulk Reynolds number relative to the centerline Reynolds
number $Re_0$?
\item Consider a fully developed turbulent channel flow at $Re = 10^5$.
\item Consider a fully developed turbulent channel flow at $Re = 10^5$ (Eq. \ref{eq:Re_bulk}).
The fluid is water with $\rho = 10^3$ kg/m$^3$ and viscosity $\nu = 10^{-6}$ m$^2$/s.
The channel half-height is $\delta = 0.1$ m,
and the skin-friction coefficient is $C_f = u_*^2 / U_0^2 = 4 \times 10^{-3}$.
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