Hydraulic Flow Limit from Drive Power
The inverse of the hydraulic-pump-horsepower tile: the most flow a power unit can deliver at a working pressure for a given drive horsepower, gpm = 1714 x drive_hp x efficiency / psi. A 13.7 HP drive at 2,000 psi and 0.85 efficiency moves 10 GPM; raise the pressure to 3,000 psi and it drops to 6.7 GPM (flow trades against pressure at fixed power). Answers 'how much flow can this motor drive' instead of the HP for one flow. A power ceiling, not the pump's rated flow. The pump and motor data govern.
Formula and source
gpm = 1714 x drive_hp x efficiency / psi; the inverse of drive_hp = (gpm x psi / 1714) / efficiency.
The fluid-power pump horsepower relation (fluid HP = gpm x psi / 1714) solved for flow, by name.
Audience
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Posture
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