Hydraulic Flow Limit from Drive Power
The most flow a power unit can deliver at a working pressure for a given drive horsepower.
Example
You enter
- Available drive horsepower (HP) 13.7278
- Working pressure (psi) 2000
- Overall pump efficiency (0-1) 0.85
You get
- Max flow 10.0 gpm
Details, formula, and sources
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.
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.
The gpm-psi-to-horsepower relation and the 1714 constant are standard published fluid-power results.
Estimate. AHJ and licensed professional govern.
Field names used by the API: drive_hp, psi, efficiency, max_gpm
- Constant-power trade flow varies inversely with pressure at fixed drive power (gpm = 1714 x drive_hp x eff / psi)fluid-power engineering
- Overall efficiency the fraction of drive power reaching the fluid; 0.80-0.90 gear/vane, higher for pistonfluid-power engineering
- Power ceiling the delivered flow is set by the pump displacement and rpm; this is the max the motor can supportscope of this tile