Calculation of inlet pressure of the pump

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Ashwink
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hello guys,
i wanted to calculate inlet pressure of the pump( vacuum pressure). pump operates at 400 bar.
pump works by sucking the grease from the inlet port of dia 7mm and delivers it through outlet port of dia 2.8mm. pump used here is piston pump. the force acting on the piston is 400bar.

regards
Ashwin
 
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You'd probably have better luck getting this one answered in the General Engineering subforum.