水泵:p_d=2 bar,p_s=0,Q=10 L/s,ρ=1000 kg/m³,η=75% → H≈20.3874 m,轴功率≈2666.67 W p_d=2 bar=200000 Pa,p_s=0,Δz=0,未填管径(速度头略去)。压力头=(200000-0)/(1000·9.81)=20.3874 m。H=20.3874 m。Q=10 L/s=0.01 m³/s。流体功率=1000·9.81·0.01·20.3874=2000 W。轴功率=2000/0.75=2666.67 W=2.6667 kW=3.5761 hp。{"result":"Pump head & power. p_d=2 bar (200000 Pa), p_s=0 bar (0 Pa), Δz=0 m, Q=10 L/s (0.01 m³/s), ρ=1000 kg/m3, η=75%. H = 20.3874 m (66.8877 ft). P_fluid = 2000 W, P_shaft = 2666.6667 W (2.6667 kW / 3.5761 hp).","metadata":{"input":{"dischargePressure":2,"pressureUnit":"bar","suctionPressure":0,"staticHeadDelta":0,"flowRate":10,"flowUnit":"L/s","density":1000,"densityUnit":"kg/m3","nozzleDiameterUnit":"m","efficiency":75,"gravity":9.81},"result":{"head_m":20.3874,"head_ft":66.8877,"pressureHead_m":20.3874,"staticHead_m":0,"velocityHead_m":0,"velocityDischarge_m_s":null,"velocitySuction_m_s":null,"flowRate_m3_s":0.01,"flowRate_L_min":600,"shaftPower_W":2666.6667,"shaftPower_kW":2.6667,"shaftPower_hp":3.5761,"fluidPower_W":2000,"efficiency":75,"density_kg_m3":1000}}}
含速度头:p_d=300 kPa,p_s=0,Q=20 L/s,D_d=0.1 m,D_s=0.15 m,η=70% → H≈30.8463 m,轴功率≈8645.77 W p_d=300 kPa=300000 Pa,p_s=0,Δz=0,Q=20 L/s=0.02 m³/s,ρ=1000 kg/m³,η=70%。压力头=(300000-0)/(1000·9.81)=30.581 m。v_d=4·0.02/(π·0.1²)=2.5465 m/s,v_s=4·0.02/(π·0.15²)=1.1318 m/s。速度头=(2.5465²-1.1318²)/(2·9.81)=0.2652 m。H=30.581+0+0.2652=30.8463 m。流体功率=1000·9.81·0.02·30.8463=6052.04 W。轴功率=6052.04/0.70=8645.77 W=8.6458 kW=11.5942 hp。{"result":"Pump head & power. p_d=300 kPa (300000 Pa), p_s=0 kPa (0 Pa), Δz=0 m, Q=20 L/s (0.02 m³/s), ρ=1000 kg/m3, η=70%. H = 30.8463 m (101.2016 ft). P_fluid = 6052.0366 W, P_shaft = 8645.7665 W (8.6458 kW / 11.5942 hp).","metadata":{"input":{"dischargePressure":300,"pressureUnit":"kPa","suctionPressure":0,"staticHeadDelta":0,"flowRate":20,"flowUnit":"L/s","density":1000,"densityUnit":"kg/m3","nozzleDiameterUnit":"m","efficiency":70,"gravity":9.81,"dischargeDiameter":0.1,"suctionDiameter":0.15},"result":{"head_m":30.8463,"head_ft":101.2016,"pressureHead_m":30.581,"staticHead_m":0,"velocityHead_m":0.2652,"velocityDischarge_m_s":2.5465,"velocitySuction_m_s":1.1318,"flowRate_m3_s":0.02,"flowRate_L_min":1200,"shaftPower_W":8645.7665,"shaftPower_kW":8.6458,"shaftPower_hp":11.5942,"fluidPower_W":6052.0366,"efficiency":70,"density_kg_m3":1000}}}