From 14c5ed6a1283f9ed01df20e68ba21c81814f768b Mon Sep 17 00:00:00 2001
From: Felix <feh7@hi.is>
Date: Mon, 26 Apr 2021 14:30:37 +0000
Subject: [PATCH] written some more
---
tex/header/preamble.tex | 2 +-
tex/main.tex | 1 +
tex/results.tex | 13 ++++++++++---
tex/setup.tex | 4 ++--
4 files changed, 14 insertions(+), 6 deletions(-)
diff --git a/tex/header/preamble.tex b/tex/header/preamble.tex
index 83e7caf..08f4b58 100644
--- a/tex/header/preamble.tex
+++ b/tex/header/preamble.tex
@@ -1,6 +1,6 @@
%! TEX program = lualatex
-\documentclass{scrartcl}
+\documentclass[landscape]{scrartcl}
\usepackage[margin=1cm, bottom=2.5cm]{geometry}
% \RedeclareSectionCommand % das kommt vom KOMA-Skript
% [beforeskip=-1.5ex plus -.1ex minus -.1ex,
diff --git a/tex/main.tex b/tex/main.tex
index 0901c4e..842dc81 100644
--- a/tex/main.tex
+++ b/tex/main.tex
@@ -5,6 +5,7 @@
\author{Felix Hilsky}
\maketitle
% use \textinput as described in /header and _TEMPLATE
+{\scriptsize This document is set in landscape to show the tables without special formattling.}
\textinput{setup}
\textinput{reynold.tex}
\textinput{results}
diff --git a/tex/results.tex b/tex/results.tex
index 37e08c0..8780352 100644
--- a/tex/results.tex
+++ b/tex/results.tex
@@ -28,6 +28,9 @@ For the Nusselt number Churchill and Berstein found the following formula in ter
The results of this equation are listed in table \ref{tab:values}.
For reference values for the drag coefficiant we can refer to the paper \textcite{same} which solved the same problem for $\Rey = 100, 1000$ and $3900$.
+The values for $100$ and $1000$ are inserted into table \ref{tab:values} for comparison.
+
+\textcite[4.1.1 The laminar flow][5]{same} reports that at $\Rey = 100$ a steady state is reached after \SI{15}{\second}. This was not confirmed by my experiments: the visual inspection indicated a stabilisation around \SIrange{60}{80}{\second}. The development of the drag coefficiant over time indicates stabilisation at around \SI{}{\second}.?? % check at end
\section{Measurements}
The drag coefficiant was calculated with the OpenFOAM intrinsic function
@@ -42,9 +45,13 @@ The results are summerized in table \ref{tab:values}.
\centering
\caption{Scalar results of the numerical experiments. ref-$\Nus$ is the Nusselt number according to the Churchill-Bernstein equation.}
\label{tab:values}
- \begin{tabular}{ccccccc}
- $\Rey$ & $u_{in}$ & \# cells & $C_D$ & $\vec n · ∇T\vert_{\text{cyl}}$ & $\Nus$ & ref-$\Nus$\\
- \num{e2} & \num{0.05} & & & & & 5.1%56
+ \begin{tabular}{cccccccccc}
+ $\Rey$ & $u_{in}$ & \# cells & $Δt$ & $t_{\max}$ $C_D$ & $\vec n · ∇T\vert_{\text{cyl}}$ & ref-$C_D$ & $\Nus$ & ref-$\Nus$\\
+ \num{e2} & \num{0.05} & 1664 & & & & 5.1%56
+ \\
+ \num{e2} & \num{0.05} & 6656 & & & & 5.1%56
+ \\
+ \num{e2} & \num{0.05} & 26624 & & & & 5.1%56
\\
\num{e3} & \num{0.5} & & & & & 15%.930
\\
diff --git a/tex/setup.tex b/tex/setup.tex
index 94382e2..0d506ee 100644
--- a/tex/setup.tex
+++ b/tex/setup.tex
@@ -31,8 +31,8 @@ The mesh at $N=1$ is displayed in figure \ref{fig:mesh}.
\begin{figure}[htpb]
\centering
- \includegraphics[width=0.95\linewidth]{.maindir/zeichnungen/mesh} % check at end
- \includegraphics[width=0.95\linewidth]{.maindir/zeichnungen/meshcloseup} % check at end
+ \includegraphics[width=0.95\linewidth,height=0.4\textheight,keepaspectratio]{.maindir/zeichnungen/mesh} % check at end
+ \includegraphics[width=0.95\linewidth,height=0.4\textheight,keepaspectratio]{.maindir/zeichnungen/meshcloseup} % check at end
\caption{The mesh at $N=1$. As mentioned in the description the resolution at the cylinder wall is very high and therefore a second close-up view of the cylinder is displayed here (which is still too big). For orientation the corners of the arked square are marked red.}%
\label{fig:mesh}
\end{figure}
--
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