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Boiler Feed Pump Calculator

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In the world of industrial steam boilers, maintaining an efficient and reliable feedwater system is crucial. The heart of this system is the boiler feed pump, a vital component that ensures water flows into the boiler to replace the steam being used. The Boiler Feed Pump Calculator is a tool designed to simplify the complex calculations needed to determine the optimal flow rate and pump head required for these systems.

Purpose and Functionality

The purpose of the Boiler Feed Pump Calculator is to help engineers and technicians quickly calculate the necessary parameters for their boiler feed pump systems. By inputting a few key pieces of information about their system, they can determine the flow rate and total head required for optimal operation. This tool takes into account the boiler’s maximum steam output, the properties of the water entering the boiler, and the specific requirements of the feedwater system.

The Formula Explained

The calculator uses two primary formulas:

  1. Flow Rate Calculation (Q): This formula calculates the flow rate of the boiler feed pump based on the mass flow rate of steam, the percentage of makeup water, and the density of feed water. The formula is given by (1+)Q=ρwms​×(1+x)​where Q is the flow rate (m³/h), ms​ is the mass flow rate of steam (kg/h), x is the percentage of makeup water (expressed as a decimal), and ρw​ is the density of feed water (kg/m³).
  2. Pump Head Calculation (H): This formula calculates the total head required by the pump, considering boiler pressure, pressure losses in the feedwater system, and the static head needed to overcome. It is expressed as (++)×1000×H=ρw​×g(Pb​+Pl​+Hs​)×1000​where H is the total head (m), Pb​ is the boiler pressure (bar), Pl​ is the pressure losses (bar), Hs​ is the static head (m), ρw​ is the density of feed water, and g is the acceleration due to gravity (9.81 m/s²).

Step-by-Step Example

Let’s calculate the flow rate (Q) and total head (H) required for a boiler system with the following parameters:

  • The mass flow rate of steam (ms​): 5000 kg/h
  • Percentage of makeup water (x): 10% (or 0.1 in decimal form)
  • The density of feed water (ρw​): 1000 kg/m³
  • Boiler pressure (Pb​): 10 bar
  • Pressure losses (Pl​): 1 bar
  • Static head (Hs​): 20 m


  1. Flow Rate: =5000×(1+0.1)1000=5.5Q=10005000×(1+0.1)​=5.5 m³/h
  2. Pump Head: =(10+1+20)×10001000×9.81=3.15H=1000×9.81(10+1+20)×1000​=3.15 m

Relevant Information Table

Here’s a table summarizing the inputs and results from the example calculation:

Mass Flow Rate of Steam (kg/h)ms5000
Percentage of Makeup Water (%)x10
Density of Feed Water (kg/m³)ρw1000
Boiler Pressure (bar)Pb10
Pressure Losses (bar)Pl1
Static Head (m)Hs20
Flow Rate (m³/h)Q5.5
Total Head (m)H3.15


The Boiler Feed Pump Calculator is an invaluable tool for those working with steam boilers. By simplifying complex calculations, it aids in the design, maintenance, and operation of boiler feedwater systems. This ensures efficient and reliable operation, minimizes energy consumption, and extends the life of boiler systems. With its straightforward approach, the calculator is accessible to engineers, technicians, and students alike, making it an essential tool in the field of steam boiler management.

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