https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Elhay_Simpson_2009aElhay Simpson 2009a - Revision history2026-04-18T17:14:44ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Elhay_Simpson_2009a&diff=200683&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 387767703 to Elhay Simpson 2009a2021-02-02T02:03:27Z<p>Scipediacontent moved page <a href="/public/Draft_Content_387767703" class="mw-redirect" title="Draft Content 387767703">Draft Content 387767703</a> to <a href="/public/Elhay_Simpson_2009a" title="Elhay Simpson 2009a">Elhay Simpson 2009a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Elhay_Simpson_2009a&diff=200682&oldid=prevScipediacontent: Created page with " == Abstract == The aim of this paper is to revisit the formulations of the equations for flows and heads in water distribution systems and provide clarity for a logical pres..."2021-02-02T02:03:22Z<p>Created page with " == Abstract == The aim of this paper is to revisit the formulations of the equations for flows and heads in water distribution systems and provide clarity for a logical pres..."</p>
<p><b>New page</b></p><div><br />
== Abstract ==<br />
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The aim of this paper is to revisit the formulations of the equations for flows and heads in water distribution systems and provide clarity for a logical presentation of a framework for the different formulations. Five formulations are described including 1) flow equations where the equations are formulated only in terms of the unknown flows in a network 2) head equations 3) loop flow equations 4) flow and head equations and 5) the Todini and Pilati flow and head formulation. Graph theory is used to show how many unknowns are required to be solved for in each of the five formulations. A Newton solution method is derived for the flow formulation and the Todini and Pilati formulation.<br />
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== Original document ==<br />
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The different versions of the original document can be found in:<br />
<br />
* [https://digital.library.adelaide.edu.au/dspace/bitstream/2440/70743/1/hdl_70743.pdf https://digital.library.adelaide.edu.au/dspace/bitstream/2440/70743/1/hdl_70743.pdf]<br />
<br />
* [http://ascelibrary.org/doi/pdf/10.1061/41036%28342%2928 http://ascelibrary.org/doi/pdf/10.1061/41036%28342%2928],<br />
: [http://dx.doi.org/10.1061/41036(342)28 http://dx.doi.org/10.1061/41036(342)28]<br />
<br />
* [https://core.ac.uk/display/12791678 https://core.ac.uk/display/12791678],<br />
: [https://ascelibrary.org/doi/10.1061/41036%28342%2928 https://ascelibrary.org/doi/10.1061/41036%28342%2928],<br />
: [https://cedb.asce.org/CEDBsearch/record.jsp?dockey=171438 https://cedb.asce.org/CEDBsearch/record.jsp?dockey=171438],<br />
: [https://www.researchgate.net/profile/Angus_Simpson/publication/270511403_A_framework_for_alternative_formulations_of_the_pipe_network_equations/links/54ac852d0cf2479c2ee7f001.pdf https://www.researchgate.net/profile/Angus_Simpson/publication/270511403_A_framework_for_alternative_formulations_of_the_pipe_network_equations/links/54ac852d0cf2479c2ee7f001.pdf],<br />
: [https://academic.microsoft.com/#/detail/1968177017 https://academic.microsoft.com/#/detail/1968177017]</div>Scipediacontent