Head loss equaling head pressure?

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KrisOhn
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If you had a fluid in a pipe, with say, 10m of head pressure, what would happen when the head losses of the pipe equaled the head pressure?
 
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I believe you get a constant flow rate.

You normally only get a pressure loss in a pipe when there is some flow (As I recall pressure loss is roughly proportional to fluid velocity squared). So a pressure drop of 10m head of water would occur at some velocity of water specific to that pipe.