Centrifugal Pump Calculator — Calculate Pump Parameters & Performance

Centrifugal Pump Calculator

Calculate pump power, efficiency, head, flow rate, and energy consumption. Convert between pump units and analyze performance parameters.

Step 1: Pump Parameters

%

Understanding Pump Parameters

Flow Rate (Q): Volume of fluid pumped per unit time.
Head (H): Height the pump can lift the fluid.
Efficiency (η): Ratio of hydraulic power to shaft power.
Formula: P = (ρ × g × Q × H) / (η × 1000) [kW]

Step 2: Calculation Options

hours/day

Pump Power Formulas

Hydraulic Power: P_h = ρ × g × Q × H
Shaft Power: P_s = P_h / η
Electrical Power: P_e = P_s / Motor Efficiency
Where: ρ = density, g = gravity (9.81 m/s²), Q = flow rate, H = head, η = pump efficiency

Pump Calculation Results

Power Summary
Unit Comparison
Pump Formulas

Required Pump Power

18.13 kW
Centrifugal Pump: 100 m³/h @ 50 m
Hydraulic Power
13.60 kW
Shaft Power
18.13 kW
Daily Energy
435.12 kWh
Monthly Cost
$1,958.04

Power Unit Comparison

Unit Abbreviation Equivalent Power Common Use

Pump Calculation Formulas

Hydraulic Power Formula

Formula: P_h = ρ × g × Q × H
Where:
P_h = Hydraulic power (W)
ρ = Fluid density (kg/m³)
g = Gravity acceleration (9.81 m/s²)
Q = Flow rate (m³/s)
H = Head (m)

Shaft Power Formula

Formula: P_s = P_h / η
Where:
P_s = Shaft power (W)
P_h = Hydraulic power (W)
η = Pump efficiency (decimal, e.g., 0.75 for 75%)

Energy Consumption

Formula: E = P_s × t
Where:
E = Energy consumption (kWh)
P_s = Shaft power (kW)
t = Operating time (hours)

Cost Calculation

Formula: Cost = E × C
Where:
Cost = Total cost ($)
E = Energy consumption (kWh)
C = Electricity cost ($/kWh)

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