Ullas…
For water, EPANET is free and easy to use.
More sophisticated programs are available, such as WaterCad, H2ONET/H2OMAP, KYPIPES, etc., but you have to pay for these. The increased sophistication is in the added features, not the solving technique.
Although I do not recommend it, small systems can actually be solved by hand if you know the techniques. In college, we had to solve a three-loop system, by hand, using the Hardy Cross Method. Never again.
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Hardy Cross is primitive, but it is simple enough to implement on a programmable calculator if you're up for a challenge. Years ago, I wrote a Hardy Cross program for my HP-41CX and HP-42S calculators that can handle small looped systems (99 pipes max and 6 pipes per loop max), but they aren't in publishable form at this time.
Here is some info I found about the Hardy Cross Method in case you are curious about it:
If you do a Google search for [hardy cross method spreadsheet] you will find several that are available for download. I haven't tried them since I use EPANET, a commercial network modeling program, or my calculator programs.
Fred
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"Is it the only lesson of history that mankind is unteachable?"
--Winston S. Churchill