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Centrifugal Pump Affinity Laws (Flow, Head & Power) Calculator

Easily calculate and compute centrifugal pump affinity laws (flow, head & power) calculator with accurate equations, live formulas, and expert guidance.

Baseline discharge capacity.

Baseline pump head.

Shaft power input.

Baseline motor speed.

Target VFD or revised motor speed.

Calculated Result
99.4 m³/h

New Flow (Q₂)

New Flow (Q₂)

99.4 m³/h

New Flow Rate M3 Per Hour

99.4

New Total Dynamic Head Meters

30.9

New Brake Power Kw

12.51

Shaft Speed Ratio N2 Over N1

0.829

99.4 — m³/h

Calculation Breakdown

  1. Applied FormulaApplies hydraulic affinity laws to predict how varying impeller rotational speed (RPM) or impeller trim diameter scales centrifugal pump volumetric flow, total head, and power consumption.\frac{Q_2}{Q_1} = \frac{N_2}{N_1}, \quad \frac{H_2}{H_1} = \left(\frac{N_2}{N_1}\right)^2, \quad \frac{P_2}{P_1} = \left(\frac{N_2}{N_1}\right)^3

Pump Affinity Laws Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.025507599New Flow (Q₂)

What Is the Centrifugal Pump Affinity Laws (Flow, Head & Power) Calculator?

This tool computes centrifugal pump affinity laws (flow, head & power) calculator with high precision arithmetic.

How Does the Centrifugal Pump Affinity Laws (Flow, Head & Power) Calculator Work?

Applies hydraulic affinity laws to predict how varying impeller rotational speed (RPM) or impeller trim diameter scales centrifugal pump volumetric flow, total head, and power consumption.

Centrifugal Pump Affinity Laws (Flow, Head & Power) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q2Q1=N2N1,H2H1=(N2N1)2,P2P1=(N2N1)3\frac{Q_2}{Q_1} = \frac{N_2}{N_1}, \quad \frac{H_2}{H_1} = \left(\frac{N_2}{N_1}\right)^2, \quad \frac{P_2}{P_1} = \left(\frac{N_2}{N_1}\right)^3

Applies hydraulic affinity laws to predict how varying impeller rotational speed (RPM) or impeller trim diameter scales centrifugal pump volumetric flow, total head, and power consumption.

How to Use the Centrifugal Pump Affinity Laws (Flow, Head & Power) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Centrifugal Pump Affinity Laws (Flow, Head & Power) Calculator Example

Input Values:

initialFlowRateM3PerHour:120
initialTotalHeadMeters:45
initialBrakePowerKw:22
initialShaftSpeedRpm:1750
newShaftSpeedRpm:1450
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m³/h.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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