.. _sphx_glr_api_gallery_fluid_engineering_networks:

Networks
--------

Looped pipe networks.


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="A city&#x27;s water mains form loops, and the flow in each pipe is fixed by two sets of conditions: continuity at every junction, and zero net head loss round every loop. In 1936 Hardy Cross, at the University of Illinois, proposed solving them by hand: guess flows that satisfy continuity, then correct one loop at a time by \Delta Q = -\sum r Q|Q|/(2\sum r|Q|), a Newton step that leaves the junctions balanced (~engineeringkit.fluid_engineering.hardy_cross). It was the standard method until computers took over. This example balances a two-loop network sized with Darcy-Weisbach resistances (~engineeringkit.fluid_engineering.pipe_resistance).">

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  .. image:: /api/gallery/fluid_engineering/networks/images/thumb/sphx_glr_plot_01_hardy_cross_thumb.png
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  :doc:`/api/gallery/fluid_engineering/networks/plot_01_hardy_cross`

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      <div class="sphx-glr-thumbnail-title">Hardy Cross's method for pipe networks (1936)</div>
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    </div>


.. toctree::
   :hidden:

   /api/gallery/fluid_engineering/networks/plot_01_hardy_cross