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Bjarne Børresen
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OpenHPL/Resources/Documents/Developer_docs/OpenHPL_Pipe.tex

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\section{Introduction}
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% https://docs.bentley.com/LiveContent/web/Bentley%20HAMMER%20SS6-v1/en/GUID-F87F1515-85CE-4FF3-9C5F-3AD5E427F125.html
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% https://ocw.snu.ac.kr/sites/default/files/NOTE/HD%20Ch6-LC9.pdf
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% https://pubs.aip.org/aip/pof/article-abstract/36/7/077105/3300578/Influence-of-the-rigid-water-column-assumption-on?redirectedFrom=fulltext
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%
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In the following transient change of pressure in a pipe is discussed. When the change is slow compared to the speed of sound, the elastic pressures waves in the medium can be ignored. This approach is often denoted rigid water column and implies that the instantaneous flow rate is constant in all cross sections in the pipe
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In the following transient change of pressure in a pipe is discussed. When the change is slow compared to the speed of sound, the elastic pressures waves in the medium can be ignored. This approach is often denoted rigid water column \cite{swiecicki64} and implies that the instantaneous flow rate is constant in all cross sections in the pipe
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\footnote{Since the compressibility of the medium is assumed to be constant, the density and hence the mass flow is also constant in all cross sections.}.
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The rigid water column momentum equation can be derived from Newtons first law:
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\[
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\]
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\subsection{Friction force}
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%
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In principle the friction force is found by integrating the wall shear force $\tau_{w}$ along the all surfaces. For constant diameter pipe the traditional approach is to express this friction loss through the semi-empirical head loss formula
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In principle the friction force is found by integrating the wall shear force $\tau_{w}$ along all surfaces. For constant diameter pipe the traditional approach is to express this friction loss through the semi-empirical head loss formula \cite{white86}
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\[
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F_{f}= A \cdot \rho \cdot g \cdot h_{f}= A \cdot \rho \cdot g \left[ f \cdot \left(\frac{L}{D}\right) \frac{v^{2}}{2g} \right]
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\]
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If the pipe is strongly conical (either diverging or converging) special loss models must be used as the there is a risk for separation or other special flow phenomena.
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\section{Today's implementation}
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% ---
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\begin{comment}
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\begin{lstlisting}
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within OpenHPL.Waterway;
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\end{lstlisting}
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\end{comment}
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% ---
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%
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\section{New implementation}

OpenHPL/Resources/Documents/Developer_docs/ohpl.bib

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@phdthesis{liubomyr2019,
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author = {Liubomyr Vytvytskyi},
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title = {Dynamics and model analysis of hydropower system},
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year ="2019",
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school="Univeristy of South-Eastern Norway"
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year ={2019},
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school={University of South-Eastern Norway},
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url={https://openarchive.usn.no/usn-xmlui/handle/11250/2608105}
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}
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@misc{pep20,
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title="PEP 20 - The Zen of Python",
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year="2004",
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url="https://peps.python.org/pep-0020/"
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title={PEP 20 - The Zen of Python},
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year={2004},
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url={https://peps.python.org/pep-0020/}
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}
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@misc{MPL2.0,
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title = "Mozilla Public LicenseVersion 2.0",
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year="2012",
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url="http://mozilla.org/MPL/2.0/"
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title = {Mozilla Public LicenseVersion 2.0},
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year={2012},
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url={http://mozilla.org/MPL/2.0/}
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}
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@Comment{jabref-meta: databaseType:bibtex;}
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% Encoding: UTF-8
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@article{swiecicki64,
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author={Ignacy Swiecicki},
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title={Rigid Water-Column Theory in Water-Hammer Problems},
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volume={86},
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number={3},
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pages={583-588},
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year={1964},
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journal={ASME Journal of Basic Engineering},
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url={https://asmedigitalcollection.asme.org/fluidsengineering/article-abstract/86/3/583/398464/Rigid-Water-Column-Theory-in-Water-Hammer-Problems}
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}
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@Book{white86,
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title = {Fluid Mechanics},
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publisher = {McGraw Hill},
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}
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@Comment{jabref-meta: databaseType:bibtex;}
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@Book{bjoerke95,
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title = {Manufacturing systems theory : a geometric approach to connection},
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publisher = {Tapir},
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year = {1995},
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author = {{\O}yvind Bj{\o}rke},
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edition = {Second Edition},
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url={https://www.nb.no/items/97f79cdadfbf036e41c40206408f23ea},
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}
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@Book{bjoerke95,
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title = {Manufacturing systems theory : a geometric approach to connection},
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publisher = {Tapir},
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year = {1995},
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author = {{\O}yvind Bj{\o}rke},
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edition = {Second Edition},
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url={https://www.nb.no/items/97f79cdadfbf036e41c40206408f23ea},
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}
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README.md

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## Contact
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The maintainers can be contacted by email: [[email protected]](mailto:[email protected])
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## Current branch
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**Not yet completed!**

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