Commit 5e275b9d authored by Olivier's avatar Olivier

Chapter 1: added slides used in videos

parent 62484084
\documentclass[17pt]{beamer}
\usepackage{fluidmechslides} % from https://framagit.org/olivier/sensible-styles
% Syntax for single-image slides:
% (the first argument (number) being the maximum fraction of the
% slide width that the image is allowed to have.)
% \figureframe{1}{filename}{Title}{Attribution}
% Do I want the print version? (no \pause, larger preamble)
\printversion
\begin{document}
\begin{frame}{}
What \emph{is} a fluid?
\end{frame}
\begin{frame}{}
fluid = matter\pause~= molecules? \pause
…not in fluid mechanics!
\end{frame}
\begin{frame}{The macroscopic scale}
In fluid mechanics, we treat fluids like a \vocab{continuum}\\\pause
(all physical properties continuously differentiable)
\end{frame}
\begin{frame}{}
\begin{centering}
~
1 “empty” bottle of air\pause
=\pause
\num{2e22} molecules\pause
at \SI{1000}{\kilo\metre\per\hour}.\pause
~
\textit{uh-oh}
\end{centering}
\end{frame}
\begin{frame}{}
\begin{centering}
{\Large 20000000000000000000000}\\
equations\pause
each with\\\pause
{\Large 20000000000000000000000}\\
unknowns\pause
\end{centering}
~
Result: $\vec V_\text{average} = \vec 0$ !
\end{frame}
\begin{frame}{}
The \vocab{continuum assumption} treats groups of millions of molecules as patches\pause
1 patch = a \vocab{fluid particle}\pause
$\approx \SI{1}{\milli\metre\cubed}$ for medium-scale flow flow\\\pause
$\approx \SI{10}{\metre\cubed}$ for upper atmosphere
\end{frame}
\figureframe{1}{property_shrinking_volume}{}{\wcfile{Macroscopic microscopic property_2.svg}{Figure} \ccbysa \oc}
\begin{frame}{}
A fluid: not “marbles”,
instead, “continuous expanding dough”.
\end{frame}
\end{document}
\documentclass[17pt]{beamer}
\usepackage{fluidmechslides} % from https://framagit.org/olivier/sensible-styles
% Syntax for single-image slides:
% (the first argument (number) being the maximum fraction of the
% slide width that the image is allowed to have.)
% \figureframe{1}{filename}{Title}{Attribution}
% Do I want the print version? (no \pause, larger preamble)
\printversion
\begin{document}
\begin{frame}{Viscosity}
the “stickiness” of fluids
\begin{IEEEeqnarray*}{rCl}
\mu &\equiv& \frac{\tau}{\left(\frac{\Delta v}{\Delta y}\right)}\label{eq_firstdef_viscosity}
\end{IEEEeqnarray*}\pause
ratio between shear and strain
\end{frame}
\figureframe{0.8}{stress_strain_viscosity_brick}{}{Figure \cczero \oc}
\figureframe{0.9}{stress_strain_viscosity}{}{Figure \cczero \oc}
\begin{frame}{Force will increase}
\includegraphics[width=0.5\textwidth]{stress_strain_viscosity}
\begin{itemize}\pause
\item with increasing $A$\pause
\item with increasing $\Delta v$\pause
\item with decreasing $\Delta y$\pause
\item \emph{with increasing stickiness} (viscosity)
\end{itemize}
\end{frame}
\begin{frame}{Viscosity}
\begin{IEEEeqnarray*}{rCl}
\mu &\equiv& \frac{\frac{F}{A}}{\left(\frac{\Delta v}{\Delta y}\right)}\\\pause
&=& \frac{\tau}{\left(\frac{\Delta v}{\Delta y}\right)}
\end{IEEEeqnarray*}\pause
ratio between shear $\tau$ (effort) and strain $\diff v/\diff y$ (deformation)
\end{frame}
\end{document}
\documentclass[17pt]{beamer}
\usepackage{fluidmechslides} % from https://framagit.org/olivier/sensible-styles
% Syntax for single-image slides:
% (the first argument (number) being the maximum fraction of the
% slide width that the image is allowed to have.)
% \figureframe{1}{filename}{Title}{Attribution}
% Do I want the print version? (no \pause, larger preamble)
\printversion
\begin{document}
\begin{frame}{Mass flow}\pause
Uniform velocity $\vec V$~?
\begin{IEEEeqnarray*}{rCl}
\dot m &=& \rho V_\perp A\\
&=& \rho V A_\perp
\end{IEEEeqnarray*}
\end{frame}
\pictureframe{1}{16305214325_e6c036594e_k}{}{\flickrfile{niephotography/16305214325/}{Photo} \ccbysa by \flickrname{niephotography}{Alexander Nie}}
\figureframe{1}{go_faster_pipe}{}{\wcfile{Go-faster tailpipe.svg}{Figure} \cczero \oc\\ \wcfile{Classic Car (1) (3495188372).jpg}{Photo} cropped, mirrored and edited from an \flickrfile{kazandrew2/3495188372/}{original} \ccbysa by \flickrname{Kaz Andrew}{kazandrew2}}
\figureframe{1}{mass_flow_1}{}{\wcfile{Go-faster tailpipe.svg}{Figure} \cczero \oc}
\figureframe{1}{mass_flow_2}{}{\wcfile{Go-faster tailpipe.svg}{Figure} \cczero \oc}
\figureframe{1}{mass_flow_3}{}{\wcfile{Go-faster tailpipe.svg}{Figure} \cczero \oc}
\begin{frame}{Mass flow}
\begin{IEEEeqnarray*}{rCl}
\dot m &=& \rho V_\perp A\\
&=& \rho V A_\perp
\end{IEEEeqnarray*}
\end{frame}
\end{document}
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