Commit 4f17d0f4 authored by Olivier's avatar Olivier

Chapter 1: added slides

parent 1c004f4c
\documentclass[17pt]{beamer}
\usepackage{fluidmechslides} % from https://git.framasoft.org/u/olivier/sensible-styles
\renewcommand{\documentnumber}{0}
\renewcommand{\titleofthisdocument}{Important concepts}
\renewcommand{\numberofthischapter}{1}
\renewcommand{\titleofthisdocument}{\namechapterone}
\renewcommand{\keywordsofthisdocument}{}
\renewcommand{\lastedityear}{2017}
\renewcommand{\lastedityear}{2019}
\renewcommand{\lasteditmonth}{04}
\renewcommand{\lasteditday}{06}
\renewcommand{\lasteditday}{04}
% Syntax for single-image slides:
% (the first argument (number) being the maximum fraction of the
......@@ -20,7 +20,7 @@
\mainslidesbegin
\begin{frame}{Take-away slide for Chapter 0}
\begin{frame}{Take-away slide for Chapter 1}
\begin{enumerate}\pause
\item Fluid particles instead of molecules\pause
\item Pressure (perpendicular)\\
......@@ -118,7 +118,7 @@
~
Result: $\vec V \left(\begin{array}{c}u\\ v\\ w\end{array}\right) = f(x,y,z,t)$\\\pause
Result: $\vec V = \left(\begin{array}{c}u\\ v\\ w\end{array}\right) = f(x,y,z,t)$\\\pause
but $\vec V_\text{average} = \vec 0$ !
\end{frame}
......@@ -187,6 +187,10 @@
\begin{IEEEeqnarray}{rCl}
\vec V &\equiv& \timederivative{\vec x}
\end{IEEEeqnarray}
\begin{IEEEeqnarray}{rCl}
V &\equiv& ||\vec V||
\end{IEEEeqnarray}
\end{frame}
......@@ -195,11 +199,24 @@
~
a vector $\vec V \left(\begin{array}{c}u\\ v\\ w\end{array}\right) = f (x, y, z, t)$\pause
a vector $
\vec V = \left(\begin{array}{c}
V_x\\
V_y\\
V_z
\end{array}\right) %
= \left(\begin{array}{c}
u\\
v\\
w
\end{array}\right)
$\pause
~
Alternatively $\vec V = \left(\begin{array}{c}u_x\\ u_y\\ u_z\end{array}\right) = \left(u_i\right) = \left(\begin{array}{c}u_1\\ u_2\\ u_3\end{array}\right)$
…itself a function of space and time,\\\pause
$~ ~ ~ ~\vec V = f(x,y,z,t)$\pause\\
~ ~ ~ ~ (a \vocab{field})
\end{frame}
\begin{frame}{Velocity}
......@@ -363,7 +380,7 @@
Units:\\
$\SI{1}{\pascal} \equiv \SI{1}{\newton\per\metre\squared}$\\
$\SI{1}{bar} \equiv \SI{e5}{\pascal}$\\
$\to$ chapter 1
$\to$ chapter 4
\end{frame}
\subsection{Shear}
......@@ -375,7 +392,7 @@
\end{equation}
same units as pressure\\
$\to$ chapter 2
$\to$ chapter 5
\end{frame}
......@@ -621,7 +638,7 @@
\item $\re < \num{e4}$ ? Likely turbulent\pause
\end{itemize}
{\small (ok it’s not really magic $\to$ chapter 6)}
{\small (ok it’s not really magic $\to$ chapter 9)}
\end{description}
\end{frame}
......@@ -735,7 +752,7 @@
\begin{frame}{Take-home slide for Chapter 0}
\begin{frame}{Take-home slide for Chapter 1}
\begin{enumerate}\pause
\item Fluid particles instead of molecules\pause
\item Pressure (perpendicular)\\
......
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