03 // 双向 STEM 与金融计算器 // 流体、结构与电气工程计算器P = (ρ × 9.80665 × Q × H) / (η / 100)

水泵轴功率与水力功率计算器

根据 P_shaft = (ρ × g × Q × H) / η 求解水泵所需轴功率、体积流量、总扬程、介质密度或水泵效率。

P = (ρ × 9.80665 × Q × H) / (η / 100)

选择要计算的未知量（或直接在任意输入框中输入数值）：当前求解: P_shaft — Required Shaft Power

Required Shaft Power计算结果

Brake power required at the pump shaft in Watts (switch to kW or hp)

105,000,000.00

Volumetric Flow Rate

Flow rate in m³/s (switch inline unit for L/s, L/min, or GPM)

0.000150

Total Dynamic Head (TDH)

Static lift plus friction head loss in meters

0.51,000.00

Fluid Density

Pumped liquid density in kg/m³ (Water = 1000)

5005,000.00

unit

Pump Efficiency

Best Efficiency Point (BEP) hydraulic efficiency in percent

1096

计算结果 · Required Shaft Power (P_shaft)

16,344.42W

单位换算：

分步代入计算过程

01Canonical Law: P = (ρ × 9.80665 × Q × H) / (η / 100)

02Given Inputs (Base Units): Q = 0.05 m³/s, H = 25 m, ρ (kg/m³) = 1,000, η (%) = 75

03Solve for P_shaft (Required Shaft Power): P_shaft = 16,344.42 W

Centrifugal pump shaft brake power P equals the hydraulic fluid power (ρ × g × Q × H) divided by overall pump mechanical-hydraulic efficiency η.

End-Suction Industrial Centrifugalη = 72% – 84% @ BEP

Standard ANSI / ISO process water pump

Small Fractional-HP Circulatorη = 45% – 62%

Hydronic heating loop pump

Pump Affinity Law (Power)P₂ / P₁ = (N₂ / N₁)³

VFD speed reduction to 80% cuts shaft power to 51.2%

Required Shaft Power (P_shaft) · Volumetric Flow Rate (Q)

对比变量：

Pump Shaft & Hydraulic Power Calculator — Volumetric Flow Rate → Required Shaft Power
#	Volumetric Flow Rate (m³/s)	Required Shaft Power (W)	Δ %
01	0.05 m³/s当前	16,344.42 W	0.00%
02	0.364568 m³/s	119,172.93 W	+629.14%
03	0.729035 m³/s	238,313.17 W	+1358.07%
04	1.0935 m³/s	357,453.40 W	+2087.01%
05	1.458 m³/s	476,593.64 W	+2815.94%
06	1.8224 m³/s	595,733.88 W	+3544.88%
07	2.1869 m³/s	714,874.12 W	+4273.81%
08	2.5514 m³/s	834,014.36 W	+5002.75%
09	2.9158 m³/s	953,154.59 W	+5731.68%
10	3.2803 m³/s	1,072,294.83 W	+6460.62%
11	3.6448 m³/s	1,191,435.07 W	+7189.55%
12	4.0092 m³/s	1,310,575.31 W	+7918.49%
13	4.3737 m³/s	1,429,715.55 W	+8647.42%
14	4.7382 m³/s	1,548,855.78 W	+9376.36%
15	5.1026 m³/s	1,667,996.02 W	+10105.30%
16	5.4671 m³/s	1,787,136.26 W	+10834.23%
17	5.8316 m³/s	1,906,276.50 W	+11563.17%
18	6.1961 m³/s	2,025,416.74 W	+12292.10%
19	6.5605 m³/s	2,144,556.98 W	+13021.04%
20	6.925 m³/s	2,263,697.21 W	+13749.97%

这个工具对您有帮助吗？

如何使用在线水泵轴功率与水力功率计算器工具？+

输入已知参数或拖动滑块，即可在浏览器中实时计算并可视化水泵轴功率与水力功率计算器（基于关系式 P = (ρ × 9.80665 × Q × H) / (η / 100)）。根据 P_shaft = (ρ × g × Q × H) / η 求解水泵所需轴功率、体积流量、总扬程、介质密度或水泵效率。

可以导出或打印水泵轴功率与水力功率计算器的结果吗？+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空水泵轴功率与水力功率计算器中的示例数据并从空白状态开始吗？+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项，随时也可一键重新加载示例数据。