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

Power Gained by Fluid from Pump or Fan

The power gained by fluid from an operating pump or fan

Sponsored Links

Power Gained by Fluid

The power gained by the fluid from a pump or fan can be expressed as:

P = m w                          (1)

where

P = power (W)

m = mass flow rate (kg/s)

w = specific work (Nm/kg, J/kg)

Specific Work

Specific work - w - can be expressed:

w = g h                           (2)

where

h = head (m)

g = acceleration of gravity (9.81 m/s2)

Mass Flow Rate

Mass flow rate - m - can be expressed:

m = ρ Q                          (3)

where

ρ = density (kg/m3)

Q = volume flow rate (m3/s)

Combining (1), (2) and (3) the power gained by the fluid from a pump or fan can be expressed as:

P = ρ Q g h                           (4)

With specific weight expressed as:

γ = ρ g                            (5)

where

γ = specific weight (N/m3)

equation (4) can be modified so the power gained by the fluid from a pump or fan can be expressed as:

P = γ Q h                           (6)

Since head can be expressed as

h = (p2 - p1) / γ                          (7)

equation (4) can be modified so the power gained by the fluid from a pump or fan can be expressed as:

P = Q (p2 - p1)                          (8)

Example - Head Rise of a Inline Pump

An inline water pump works between measured pressure 1 bar (1 105 N/m2) and 10 bar (10 105 N/m2). Density of water is 1000 kg/m3. The volume flow is measured to 1 10-3 m3/s.

The actual water head (water column) can be calculated using (7):

h = (p2 - p1) / γ

    = (p2 - p1) / ρ g

    = ((10 105 N/m2) - (1 105 N/m2)) / (1,000 kg/m3) (9.81 m/s2)

    = 91.7 m - water column

The power gained by the fluid can be calculated using equation (4):

P = ρ Q g h

    = (1,000 kg/m3) (1 10-3 m3/s) (9.81 m/s2) (91.7 m)

    = 899.6 kg.m2/s3 (W)

    = 0.9 kW

Sponsored Links

Related Topics

Related Documents

Tag Search

  • en: power pump fan
Sponsored Links

Search the Engineering ToolBox

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

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 Pro Sketchup Extension Warehouse!

Translate this page to
About the Engineering ToolBox!

Citation

This page can be cited as

  • Engineering ToolBox, (2004). Power Gained by Fluid from Pump or Fan. [online] Available at: https://www.engineeringtoolbox.com/pump-fan-power-d_632.html [Accessed Day Mo. Year].

Modify access date.

Customize Ads in the ToolBox

Make ads more useful in Google Ad Settings .

. .

close

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Scientific Online Calculator

Scientific Calculator

10 12

Sponsored Links
.