Commit dfdb2bd3 authored by Olivier's avatar Olivier

Exercises 5: added formula sheet

parent b1d000e4
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\atstartofexercises
\fluidmechexercisestitle
......@@ -9,6 +9,17 @@
\mecafluexboxen
\begin{boiboiboite}
Shear force on a flat surface in the plane $x,y$:
\begin{IEEEeqnarray}{rCcCl}
F_\text{{shear, direction } i} & = & \iint \tau_{\text{direction } i (x, y)} \diff x \diff y \ztag{\ref{eq_shear_force_twod_integration}}
\end{IEEEeqnarray}
Shear in the direction $j$, on a plane perpendicular to direction $i$:
\begin{IEEEeqnarray}{rCl}
||\vec \tau_{ij}|| &=& \mu \partialderivative{V_j}{i} \ztag{\ref{eq_shear_velocity_gradient}}
\end{IEEEeqnarray}
\end{boiboiboite}
\subsubsection{Flow in between two plates}
\wherefrom{Munson \& al. \smallcite{munsonetal2013} Ex1.5}
......@@ -26,8 +37,8 @@
\begin{figure}[ht!]
\begin{center}
\includegraphics[width=0.8\textwidth]{velocity_distribution_couette_flow.png}
\end{center}
\supercaption{Velocity distribution for laminar flow in between two plates, also known as \vocab{Couette flow}.}{\wcfile{Couette flow flat plate laminar velocity distributions.svg}{Figure} \cczero \oc}
\end{center}\vspace{-0.5cm}%handmade
\supercaption{Velocity distribution for laminar flow in between two plates, also known as \vocab{Couette flow}.}{\wcfile{Couette flow flat plate laminar velocity distributions.svg}{Figure} \cczero \oc}\vspace{-0.5cm}%handmade
\label{fig_plates}
\end{figure}
......
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