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Commits (6)
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{\LARGE Syllabus}\par
Fluid Mechanics for Master Students\\
(draft version for 2019)\\
\href{https://fluidmech.ninja/}{https://fluidmech.ninja/}\\
Summer semester 2019\\
Olivier Cleynen
\mecafluboxtmp
\vspace{0em}
\end{center}
......@@ -52,8 +50,12 @@ Welcome to the Fluid Mechanics course of the \textit{Chemical and Energy Enginee
\begin{centering}\href{https://fluidmech.ninja/}{https://fluidmech.ninja/}\par\end{centering}
From that page, you can download the latest version of the present document, as well as lecture slides and archived examinations.
This course script is the only document you need to work through and succeed in this course. I highly recommend that you print it out (at 200 pages, a copy at the University print shop costs less than 9\ €). If you can’t afford this, print at least the exercise sheets and the first page of each chapter.
Note that this year, one chapter is missing. I will complete the all-new \chaptereight a few weeks after the course has started.
The course script is the only document you need to work through and succeed in this course. I highly recommend that you print it out (at 200 pages, a copy at the University print shop costs less than 9\ €). If you can’t afford this, print at least the exercise sheets and the first page of each chapter.
In order to receive weekly updates about the course, send an email to fluidmech@ovgu.de from your university email account, indicating your name and matriculation number.
\section*{Lectures}
......@@ -71,16 +73,25 @@ Welcome to the Fluid Mechanics course of the \textit{Chemical and Energy Enginee
I am available during those sessions to help you work through the exercises, and will strive to answer all of your questions. The objective should be for you to work as fast as possible in order to cover each sheet entirely; attempting the first exercises on the prior day helps greatly in this respect. Although I occasionally use the board and projector, these sessions are hands-on and you should expect to work autonomously, alone or in groups. Bring your own exercise sheets, a calculator, a sugary drink, and start right away!
\section*{Assessment}
\section*{End-of-semester examination}
The end-of-semester examination will take place on July 11\up{th}, from 15:30 to 17:30 in room G26-H1. This examination is the only assessment for the course. It lasts exactly 2~hours and is closed-book (a formula sheet is provided, containing the formulas and data contained in the preamble of every exercise sheet). A briefing regarding the examination will take place in class immediately after we cover Chapter~7, on May~23\up{rd}.
The end-of-semester examination will take place on July 11\up{th}, from 15:30 to 17:30 in room G26-H1. This examination is the main assessment for the course. It lasts exactly 2~hours and is closed-book (a formula sheet is provided, containing the formulas and data contained in the preamble of every problem sheet). A briefing regarding the examination will take place in class immediately after we cover Chapter~7, on May~23\up{rd}.
The examination consists exclusively of lightly-modified exercise sheet problems. As reported by students in the previous years, “the exam is very hard if you haven’t done the exercises, and very easy if you have done them”. It rewards your ability to methodically, resolutely and reliably solve the problems studied in class. To succeed, make sure you can solve all of them without outside help! A handful of archived examinations, together with their full solutions, is provided on the course homepage to help you practice.
\section*{Peer-graded coursework}
You can take part in a peer-graded coursework program during the semester, if you would like. Three times during the semester, one unique assignment will be handed to you; you will have one week to submit your answer. Once you do, you will be expected to grade anonymized assignments from two other students, with the help of a worked-out answer sheet. Your own work will be graded anonymously by two other students.
In the end, the coursework assignments will count \SI{20}{\percent} towards your final mark, with the exam making up the other \SI{80}{\percent}. Participation in the coursework program is optional. If you do not participate, the exam will make up \SI{100}{\percent} of your final mark for this course.
The peer-graded coursework program will be run entirely by email. In order to receive an invitation to participate, send an email to fluidmech@ovgu.de from your university email account, indicating your name and matriculation number.
\section*{Books}
The present document is, I hope, enough to allow you to work and succeed through the entire course. If you need a second source, I recommend the books of Crowe~et~al.~\cite{croweetal2001} (particularly since a dozen copies are available in our library), White~\cite{white2008}, Çengel et~al.~\cite{cengelcimbala2010}, or Munson et~al.~\cite{munsonetal2013} (a few personal copies of which can be borrowed from my office). These are solid, beautifully-illustrated, well-established textbooks, with plenty of worked-out exercises. You will see that this course matches closely their content and style.
The present document is, I hope, enough to allow you to work and succeed through the entire course. If you need a second source, I recommend the books of Crowe~et~al.~\cite{croweetal2001} (particularly since a dozen copies are available in our library), White~\cite{white2008}, Çengel et~al.~\cite{cengelcimbala2010}, Munson et~al.~\cite{munsonetal2013}, or (my favorite) de~Nevers~\cite{denevers2004}. All of them are solid, beautifully-illustrated, well-established textbooks, with plenty of worked-out exercises. You will see that this course matches closely their content and style.
\section*{Time plan}
......@@ -107,16 +118,15 @@ Welcome to the Fluid Mechanics course of the \textit{Chemical and Energy Enginee
This document still contains several figures from cited, fully-copyrighted works. The source files for all of the remaining figures (which stem from many different authors, not all associated with this course) can be accessed and re-used by clicking the links in the captions. The text of this document is licensed under a Creative Commons \ccbysa (attribution, share-alike) license. The Latex sources can be downloaded from the git repository accessed from the course homepage. I am grateful for receiving all types of feedback, including reports of inaccuracies and errors.
\clearpage
\section*{Contact}
I can always be reached by email (olivier.cleynen@ovgu.de). It is far more efficient to ask questions during exercise sessions. If you cannot make it there or for urgent matters, contact me directly by mail (please be precise and succinct) or afternoons at my office G14-111.
I can always be reached by email (olivier.cleynen@ovgu.de). It is far more efficient to ask questions during exercise sessions. If you cannot make it there or for urgent matters, contact me directly by email (please be precise and succinct) or come Friday mornings at my office G14-111.
It’s a pleasure to join you for this course this semester! Fluid mechanics is one of the most exciting disciplines out there. Now, let us begin!
\begin{flushright}
Olivier Cleynen\\
%April 2018
April 2019
\end{flushright}
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......@@ -18,7 +18,6 @@
the \textit{Chemical and Energy Engineering} program\\
at the University Otto von Guericke of Magdeburg\\}%\\
%\ccLogo\ \ccAttribution\ \ccShareAlike}
\mecafluboxtmp
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......@@ -30,7 +32,7 @@ Balance of momentum in a considered volume with steady flow:
Balance of energy in a considered volume with steady flow:
\begin{IEEEeqnarray}{rCcl}
\dot Q_{\net} + \dot W_\text{shaft, net} &=& & \Sigma \left[\dot m \left(i + \frac{p}{\rho} + \frac{1}{2} V^2 + g z \right) \right]_\inn \nonumber\\
&& +& \Sigma \left[\dot m \left(i + \frac{p}{\rho} + \frac{1}{2} V^2 + g z \right) \right]_\out \label{eq_sfee}
&& +& \Sigma \left[\dot m \left(i + \frac{p}{\rho} + \frac{1}{2} V^2 + g z \right) \right]_\out \ztag{\ref{eq_sfee}}
\end{IEEEeqnarray}
\begin{equationterms}
\item where $\dot m$ is negative inwards, positive outwards.
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......@@ -373,10 +375,10 @@ Angular momentum balance through an arbitrary volume:
\tab 2) $\vec F_\net = \left(\num{-0,5681};\num{-1,2184}\right) \si{\newton}$
\tab 3) The force is quadrupled.
\item [\ref{exo_exhaust_gas_deflector}]%
\tab 1) $F_{\net\ x} = \SI{-9,532}{\kilo\newton}$ \& $F_{\net\ y} = \SI{+1,479}{\kilo\newton}$ : $F_\net = \SI{9,646}{\kilo\newton}$;
\tab 3) $F_\text{net 2} = \SI{8,525}{\kilo\newton}$.
\tab 1) $\vec F_\net = \left(\num{-9,532}; \num{+1,479}\right) \si{\kilo\newton}$ : $||\vec F_\net|| = \SI{9,646}{\kilo\newton}$ (force on ground is opposite: $\vec F_\text{fluid on pipe} = -\vec F_\text{pipe on fluid}$);
\tab 3) $||\vec F_\text{net 2}|| = \SI{8,525}{\kilo\newton}$.
\item [\ref{exo_pelton_turbine}]%
\tab 1) $F_\net = \SI{-883,6}{\newton}$;
\tab 1) $F_\net = \left(\num{-883,6}; 0\right) \si{\newton}$;
\tab 2) $M_{\net\, X} = |F_\net| R = \SI{883,6}{\newton\metre}$;
\tab 3) $\dot W_\text{rotor} = \SI{0}{\watt}$;
\tab 4) $\omega = \SI{143,2}{rpm}$ ($F_\net = \SI{0}{\newton}$);
......@@ -397,7 +399,7 @@ Angular momentum balance through an arbitrary volume:
\tab 1) Work eq.~\ref{eq_rtt_angularmom} down to scalar equation (in $y$-direction), solve for $\theta$: $\theta = \SI{123,1}{\degree}$.
\tab 2) There are multiple solutions which allow both moment and force equations to be solved at the same time. $r_\C$ can be shortened, the flow in C can be split into forward and rearward components, or tilted downwards etc. Reductions in $\dot m_\B$ or $V_\C$ are also possible, but quantifying them requires solving both equations at once.
\item [\ref{exo_pressure_losses_pipe_flow}]%
\tab $V_\text{center} = \num{1,2245} U$; $F_\net = \SI{+393}{\newton}$ (positive!)
\tab $V_\text{center} = \num{1,2245} U$; $F_{\text{net} x} = \SI{+393}{\newton}$ (positive!)
\item [\ref{exo_thrust_reverser}]%
\tab $\dot m_\text{cold} = \SI{297}{\kilogram\per\second}$, $\dot m_\text{hot} = \SI{59,4}{\kilogram\per\second}$;
\tab $F_\text{cold flow, normal, bench \& runway} = \SI{+74,25}{\kilo\newton}$,\\ $F_\text{hot flow, normal \& reverse, bench \& runway} = \SI{+8,316}{\kilo\newton}$;
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Chapter 8 is not ready for publication yet — \\
it will arrive here at the end of May 2019.\\
Thank you for your patience!
\end{center}
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......@@ -21,7 +21,7 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Comparing influences: the weighted momentum balance}
\section[Comparing influences: the weighted momentum balance]{Comparing influences:\\ the weighted momentum balance}
\label{ch_scaling_flows}
\subsection{Principle}
......@@ -298,7 +298,7 @@
\end{mdframed}
\subsection{The systematic non-dimensionalization of problems}
\subsection[The systematic non-dimensionalization of problems]{The systematic non-dimensionalization\\ of problems}
In this chapter, we have focused on scaling forces and powers from one flow to the other. There are of course other parameters of interest, and for each, it is common practice to define a coefficient. We have already used the \vocab{pressure loss coefficient} $K_L \equiv |\Delta p| / \frac{1}{2} \rho V_\av^2$ in \chaptersevenshort (eq.~\ref{eq_def_loss_coeff} p.\pageref{eq_def_loss_coeff}), and we shall soon use the \vocab{shear coefficient} $c_f$ in the forthcoming chapter (eq.~\ref{eq_def_shear_coeff} p.\pageref{eq_def_shear_coeff}).
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......@@ -8,7 +8,7 @@ These documents can be downloaded from the course homepage, at https://fluidmech
## Author
Main author: <a href="https://ariadacapo.net/">Olivier Cleynen</a>, based on the works by White [1], Çengel & al. [2], and Munson & al. [3] cited below.
Main author: <a href="https://ariadacapo.net/">Olivier Cleynen</a>, based on the works by White [1], Çengel & al. [2], Munson & al. [3], and de Nevers [4] cited below.
## License
......@@ -23,3 +23,4 @@ Figures used in this document are sometimes quoted from fully-copyrighed works a
[1] White, Frank M.: Fluid Mechanics, 7th ed. 2008 McGraw-Hill, ISBN 9780071311212
[2] Munson, Bruce R., Okiishi, Theodore H., Huebsch, Wade W. and Rothmayer, Alric P.: Fluid Mechanics, 7th ed. 2013 Wiley, ISBN 9781118318676
[3] Çengel, Yunus A. and Cimbala, John M.: Fluid Mechanics, 2nd ed. 2010 McGraw-Hill, ISBN 9780070700345
[4] de Nevers, Noel: Fluid Mechanics for Chemical Engineers, 3rd ed. 2004 McGraw-Hill, ISBN 9781259002380
......@@ -291,7 +291,7 @@
author= {de Nevers, Noel},
year= {2004},
edition= {3},
publisher= {McGraw-Hill Education},
publisher= {McGraw-Hill},
isbn= {9781259002380},
}
......
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......@@ -58,6 +58,8 @@
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<file>french.lbx</file>
<file>greek.lbx</file>
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<external package="biblatex" priority="5" active="0">
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