Calculate pump hydraulic and shaft power

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

P_h(kW) = q ρ g h / (3.6 10⁶)

= q p / (3.6 10⁶) (1)

Thermodynamics calculators give you a list of online Thermodynamics calculators. A tool perform calculations on the concepts and applications for Thermodynamics calculations. These calculators will be useful for everyone and save time with the complex. In thermodynamics, the interaction whose external system could be viewed as the raising of mass through a distance against gravitational force is defined as work done by a system on the surroundings during a process. Thermodynamics Formulas are listed below. Some thermodynamic functions cannot be calculated directly.

BASIC CONCEPTS OF THERMODYNAMICS 1.1 Introduction Thermodynamics is a branch of science that deals with energy in all its forms and the laws governing the transformation of energy from one form to another. Since, there are many forms of energy such as mechanical, thermal or heat, chemical, electrical, etc.

where

P_h(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 = differeential pressure (N/m², Pa)

The hydraulic Horse Power can be calculated as:

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

where

P_h(hp) = hydraulic horsepower (hp)

Or - alternatively

P_h(hp) = q_gpm h_ft SG / (3960 η) (2b)

where

q_gpm = flow (gpm)

h_ft = differential head (ft)

SG = Specific Gravity (1 for water)

Thermodynamics Quality Calculator

η = pump efficiency

Example - Power pumping Water

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

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

= 0.027 kW

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

P_s(kW) = P_h(kW)/ η (3)

where

P_s(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:

• Check the relation between Density, Specific Weight and Specific Gravity

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Related Topics

Thermodynamics Basic Calculations

• 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 and Influence from Viscosity - When a liquid flow through a pump, hydrodynamic losses depends on fluid viscosity
• Centrifugal Pumps and Shut-Off Head - Centrifugal pumps and maximum (shut-off) head
• Electrical Motor Shaft Power - Electrical motors are rated in horsepower or watt
• Hydraulic Pumps and Motor Sizing - Motor size versus 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 - The power gained by fluid from an operating pump or fan
• Pump - Volume Flow and Temperature Rise - Calculate temperature rise in pumps
• Pump and Fan Efficiency - Overall pump and fan efficiency is the ratio power actually gained by the fluid to the shaft power supplied
• Pumping Water - Energy Cost Calculator - The energy costs of pumping water
• Pumping Water - Required Horsepower - Horsepower required to pump water
• Pumps, Fans and Turbines - Horsepower - British Horse Power in pumps, fans and turbines - and how to convert to other units
• Specific Work done by Turbo Machines - Pumps, Compressors and Fans - Specific work from pumps, fans, compressors and turbines
• System Curve and Pump Performance Curve - Utilize the system curve and the pump performance curve to select the proper pump for a particular application
• Work Done by Force - Work done by a force acting on an object

Tag Search

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