Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

Pump Power Calculator

Sponsored Links

 Hydraulic Pump Power

The ideal hydraulic power to drive a pump depends on

  • the mass flow rate the
  • liquid density
  • the differential height

- either it is the static lift from one height to an other or the total head loss component of the system - and can be calculated like

Ph(kW) = q ρ g h / (3.6 106)

        = q p / (3.6 106)                  (1)

where

Ph(kW) = hydraulic power (kW)

q = flow (m3/h)

ρ = density of fluid (kg/m3)

g = acceleration of gravity (9.81 m/s2)

h = differential head (m)

p = differential pressure (N/m2, Pa)

The hydraulic Horse Power can be calculated as:

Ph(hp) = Ph(kW) / 0.746                                  (2)

where

Ph(hp) = hydraulic horsepower (hp)

Or - alternatively

Ph(hp) = qgpm hft SG / (3960 η)                              (2b)

where

qgpm = flow (gpm)

hft = differential head (ft)

SG = Specific Gravity (1 for water)

η = pump efficiency

Example - Power pumping Water, SI Units

1 m3/h of water is pumped a head of 10 m. The theoretical pump power can be calculated as

Ph(kW) = (1 m3/h) (1000 kg/m3) (9.81 m/s2) (10 m) / (3.6 106)

    = 0.027 kW

Example - Power pumping Water, Imperial Units

600 gpm of water is pumped a head of 110 ft. The efficiency ofthe pump i s 60% (0.6) and the specific gravity of water is 1. The pump shaft power can be calculated as

Ph(kW) = (60 gpm) (110 ft) (1) / ((3960) (0.6))

    = 27.8  hp

Shaft Pump Power

The shaft power - the power required transferred from the motor to the shaft of the pump - depends on the efficiency of the pump and can be calculated as

Ps(kW) = Ph(kW) / η                                     (3)

where

Ps(kW)  = shaft power (kW)

η = pump efficiency

Online Pump Calculator - SI-units

The calculator below can used to calculate the hydraulic and shaft power of a pump:


Online Pump Calculator - Imperial units

The calculator below can used to calculate the hydraulic and shaft power of a pump using Imperial units:


Related Mobile Apps from The Engineering ToolBox

- free apps for offline use on mobile devices.

Sponsored Links

Related Topics

Pumps

Piping systems and pumps - centrifugal pumps, displacement pumps - cavitation, viscosity, head and pressure, power consumption and more.

Related Documents

Centrifugal Pumps

An introduction to Centrifugal Pumps.

Centrifugal Pumps - Shut-Off Head

Centrifugal pumps and maximum shut-off head.

Centrifugal Pumps - Viscosity Influence

Hydrodynamic losses through pumps depends on fluid viscosities.

Efficiency in Pumps or Fans

The overall pump and fan efficiency is the ratio power gained by the fluid to the shaft power supplied.

Electrical Motors - Shaft Power vs. Voltage and Current

Calculate electric motors shaft power.

Hydraulic Pump Motor Sizing

Motor size vs. flow rate, shaft torque, shaft power and hydraulic power.

Positive Displacement Pumps

Introduction tutorial to positive displacement pumps basic operating principles.

Power

Power is the rate at which work is done or energy converted.

Power Gained by Fluid from Pump or Fan

Calculate the power gained by fluid from an operating pump or fan.

Pump - Temperature Rise vs. Volume Flow

Calculate temperature rise vs. volume flow in pumps.

Pumping Water - Energy Cost Calculator

Calculate the energy cost of pumping water.

Pumping Water - Required Horsepower

Horsepower required to pump water.

Pumps, Fans and Turbines - Horsepower

British Horse Power as used for pumps, fans and turbines - and how to convert to other units.

System Curve and Pump Performance Curve

Utilize the system curve and the pump performance curve to select the proper pump for a particular application.

Turbo Machines - Specific Work done by Pumps, Compressors or Fans

Calculate specific work done by pumps, fans, compressors or turbines.

Work done by Force

Work done by a force acting on an object.

Sponsored Links

Search Engineering ToolBox

  • the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

Google use cookies for serving our ads and handling visitor statistics. Please read Google Privacy & Terms for more information about how you can control adserving and the information collected.

AddThis use cookies for handling links to social media. Please read AddThis Privacy for more information.