diff --git a/tex/results.tex b/tex/results.tex new file mode 100644 index 0000000000000000000000000000000000000000..da1a9b77ac735fefb32490710a28b795fc10313c --- /dev/null +++ b/tex/results.tex @@ -0,0 +1,28 @@ +%! TEX program = lualatex + +\input{.maindir/tex/header/preamble-section} +% inputs the preamble only if necessary +\docStart +\section{Measurements} +\begin{table}[htpb] + \centering + \caption{Scalar results of the numerical experiments} + \label{tab:values} + \begin{tabular}{cccc} + $\Rey$ & $u_{in}$ & $C_D$ & $\arrow n · ∇T|_{\text{cyl}} & \Nus \\ + \num{e2} & \num{0.2} \\ + \num{e3} & \num{2} \\ + \num{e4} & \num{20} \\ + \num{e5} & \num{200} + \end{tabular} +\end{table} +% do not use \input nor \begin{document nor \end{document} + +% write the text here +% for including a tikz picture, place it in the directory tikz and +% use \tikzinput{tikzpicture} +% for including another tex (text) file, place it in the directory +% tex and use \textinput{textfile} +% for including some other file use \maininput{file/path/relative/to/main/repodir} + +\docEnd diff --git a/tex/reynold.tex b/tex/reynold.tex new file mode 100644 index 0000000000000000000000000000000000000000..07a9eb3527b36df4193f61805c20d65ac249eeeb --- /dev/null +++ b/tex/reynold.tex @@ -0,0 +1,16 @@ +%! TEX program = lualatex + +\input{.maindir/tex/header/preamble-section} +% inputs the preamble only if necessary +\docStart +\section{Reynolds number} +The Reynolds number is defined as +\begin{align*} + \Rey = \frac{u d}{ν} ⇒ u = \frac{\Rey ν}{d} = \frac{\Rey}{500}. +\end{align*} +In the default case $d = \SI{2}{\metre}$, $ν=\SI{e-3}{\square\metre\per\second}$. +The inflow velocity is chose in a way that the desired Reynold numbers are reached, +see table \ref{tab:values}. +% and $u = \SI{10}{\metre\per\second}$. +% So $\Rey = \num{2e4}$ +\docEnd