 ### Chapter 1: added slides used in videos

parent 62484084
1/1v1.tex 0 → 100644
 \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}
1/1v2.tex 0 → 100644
 \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}
1/1v3.tex 0 → 100644
 \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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