Pump Head Calculator – Required Pump Head Calculation

What Is Pump Head?

This pump head calculator is used to determine the total head that a pump must provide to ensure fluid flow through a piping system. The required pump head represents the energy needed to overcome system pressure losses, static elevation difference, and velocity changes.

Pump head is commonly expressed in meters or feet of fluid column and is independent of fluid density when expressed as head. Accurate pump head calculation is essential for proper pump selection and efficient system operation.

Although pump head includes pressure losses due to friction, it represents the total energy that the pump must supply to the system and should not be confused with pressure drop alone.

To analyze friction losses in detail, use the pressure drop calculator.

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Physical Meaning of Pump Head

Pump head represents the energy that the pump transfers to the fluid flowing through it. Pump head can be expressed in several ways: as energy per unit mass, energy per unit weight, or energy per unit volume. Most commonly, pump head is expressed as energy per unit weight of the fluid – J/N. This unit is transformed into another unit that is most commonly used in practice and that eliminates the influence of fluid density when analyzing pump head. That unit is meters (m), which clearly indicates both the pump head and the height to which the pump can lift the fluid at zero flow rate.

H = Z2 - Z1 + p2-p1 ρg + V22-V12 2g + Δ p ρg

Pump head is generated by the transformation of energy, most commonly electrical energy supplied by an electric motor or chemical energy of fuel burned in an internal combustion engine, into mechanical energy of the pump impeller rotation. This mechanical energy is ultimately converted into potential and kinetic energy of the fluid. The potential energy (working pressure) imparted to the fluid by the pump impeller enables fluid flow through the pipeline. The resulting flow rate in the pipeline is established as a balance between the energy supplied by the pump in the form of pump head and the difference in potential energy associated with pressure differences and elevation levels between the pipeline inlet and outlet points, differences in kinetic energy of the fluid at the inlet and outlet, as well as the energy losses due to friction, flow direction changes, and various obstacles within the piping system.

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Pump Head And Pressures
Flow rates
Coefficients
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Fluid properties

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Description

H - pump head
Pump head required to provide required flow rate q
p₂-p₁ - pressure difference
Pressure difference between pipe end and pipe start
Δp - pressure drop
Pressure drop due to friction and minor loses along the pipeline
q - volume flow rate
Fluid flow rate in terms of units of volume per unit of time
ṁ - mass flow rate
Fluid flow rate in terms of units of mass per unit of time
h - height difference
Difference in height between pipeline inlet and outlet point
L - pipe length
Length of a pipe in which pressure drop is calculated
D - pipe diameter
Internal circular pipe diameter
kr - pipe roughness
Pipe internal surface roughness
V - velocity
Flow velocity in terms of units of distance per unit of time
A - area
Internal pipe cross section area
f - friction coefficient
Coefficient of friction for pressure drop due to friction calculation
Re - Reynolds number
Dimensionless number representing viscous versus inertial forces ratio
ρ - fluid density
Mass per unit of volume
ν - kinematic viscosity
Result of fluid particles colliding to each other and moving at different velocities in terms of area per square unit of time
μ - dynamic viscosity
Result of fluid particles colliding to each other and moving at different velocities in terms of mass per square unit of distance and time
K - minor resistance factor
Coefficient used for calculation of minor losses due to local resistances in pipe line like bends, tees, reducers, valves, etc.

How to Configure the Calculation

The pump head calculator is easy to use and a very reliable tool for solving practical engineering problems on a daily basis. The required pump head is determined as follows. First, it is necessary to enter the parameters provided in the calculator, primarily the fluid density and viscosity, flow rate, pipeline length, internal pipe diameter, internal pipe surface roughness, minor loss coefficient, elevation difference of the pipeline, and the pressure difference between the inlet and outlet points. The calculator automatically calculates all remaining parameters and finally determines the required pump head.

To simplify the use of the pump head calculator, there is an option to select a standard pipe from a list of available pipe standards. In addition, the calculator includes a list of commonly used fluids, which facilitates the input of the required physical properties: density and viscosity needed for pump head calculation.

The calculator allows you to select which physical quantity you want to enter and provides the option to choose between volumetric and mass flow rate, as well as between kinematic and dynamic fluid viscosity.

If the calculation of the required pump head involves a system where pressure is present at one end of the pipeline, this pressure can be entered into the calculator using the pressure difference parameter p2-p1. For example, if there is a tank at the end of the pipeline with a pressure of 2 bar, this pressure can be entered into the calculator as a value in the p2-p1 pressure difference field (2 bar), and the calculated pump head will take this value into account.

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Difference Between Pump Head and Pressure Drop

Pressure drop represents energy losses in the piping system, while pump head represents the total energy that the pump must provide to overcome those losses, static elevation difference, and velocity changes.

Pump Head Calculation Guide

When Should You Use This Pump Head Calculator?

The pump head calculator is a powerful tool for quick and easy calculating required pump head in piping system. It is ideal for engineers, designers, and professionals working with incompressible fluids (liquids) in closed, round, piping systems.

This pump head calculator applies to incompressible flow, where the fluid density remains constant. It accurately determines head required to overcome losses in the pipelines due to friction, pipe diameter, pipe length, and velocity changes.

If the fluid is a gas, ensure that pressure changes remain within 5-10% of the initial pressure. If the pressure drop exceeds this limit, use a compressible gas pressure drop calculator for more accurate results.

This pump head calculator works for both laminar and turbulent flow regimes, making it applicable for various industries, including oil and gas, HVAC, and water distribution systems.

When Is This Pump Head Calculator Not Applicable?

  • Compressible Gas Flow: If gas pressure changes exceed 10%, use a compressible gas pressure drop calculator.
  • Non-Newtonian Fluids: The pressure loss in pipe calculator does not support fluids with viscosity changes due to shear rate variations.
  • Multiphase Flow: This pipeline pressure loss calculator is unsuitable for fluids containing solid particles, gas-liquid mixtures, or slurries.
  • Temperature-Dependent Viscosity: If viscosity changes significantly due to temperature fluctuations, this pressure drop through pipe calculator may not provide precise results.

Key Features of the Pump Head Calculator

This pump head calculation tool is built to handle a wide range of applications. Key features include:

  • Calculation of required pump head including pipe friction losses.
  • Supports both laminar and turbulent flows, ensuring accuracy across different flow regimes.
  • Applies to water, oil and other liquids, making it a versatile tool for engineers.
  • Accounts for pipe diameter, pipe length, viscosity, and velocity changes.
  • Works for closed-loop and open-loop systems, ensuring precise results for different designs.

Why Use a Pump Head Calculator?

Accurate pump head calculation is essential for selecting an efficient pump and ensuring reliable system operation. Whether you are working on an HVAC system, an industrial pipeline, or a water supply network, minimizing pressure loss ensures optimal performance and energy efficiency.

Using this pump head calculator can help optimize pump selection, reduce energy consumption, and prevent unnecessary maintenance costs due to high pressure losses.

How to Calculate Pump Head in Pipe?

To determine required pump head in tubing or pipelines, input the following parameters into the calculator:

  • Height: Enter height difference between entering point and exiting point of the pipeline. For circulating systems this value is 0
  • Pressure difference: Enter pressure difference from entering and exiting points of pipeline, if any. This difference is not pressure loss due to friction.
  • Fluid Type: Select water, oil, or other Newtonian liquid.
  • Pipe Diameter and Length: Select standard pipe or enter inner diameter and total pipe length.
  • Flow Rate: Specify the flow rate of the fluid.
  • Fluid Viscosity and Density: Select fluid or input viscosity and density based on the operating temperature.

With these inputs, the pump head pipe calculator computes pump head and total pressure loss across the pipeline.

By using the right pump head calculator, you ensure accurate, efficient, and optimized pipeline performance.

Once the required pump head is calculated, proceed to the pump selection calculator to determine the operating point and select the appropriate pump.

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