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For the fluid flow network shown in fig. Determine pressure at nodes and flow rates in pipe.

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1 Answer
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Element matrix equation,
[K]e=1Re[1111], where, Re=128μheπd4e

Forelement1,d=15mm,he=7.5m
Re=12881047.5π(0.015)4=4828878.87
[K]1=107[2.072.072.072.07]

Forelement2,d=20mm,he=10m
Re=128810410π(0.02)4=2037183.27
[K]2=107[4.914.914.914.91]

Forelement3,d=12.5mm,he=10m
Re=128810410π(0.0125)4=13350884.29
[K]3=107[0.750.750.750.75]

$For\,\, element \,\,4,\,\,d=7.5mm …

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