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Calcimator

Pipe Flow Rate Calculator

Calculate water flow rate and velocity based on pipe diameter, pressure, length, and material, plus friction loss based on pressure and length.

About this calculator

This calculator applies the Hazen-Williams flow equation, where Flow Rate scales with Pipe Diameter raised to the 2.63 power -- a much steeper relationship than the roughly square-root dependence on pressure and pipe length. That exponent is why Pipe Diameter dominates Flow Rate more than any other input: a given percentage change in diameter moves flow rate several times more than the same percentage change in Pressure or Pipe Length. Pipe Material sets the Hazen-Williams roughness coefficient C (140 for copper, 150 for PVC/CPVC and PEX, 120 for galvanized steel, which has the most internal friction of the four) and factors in linearly, so it has a comparatively modest effect next to diameter's steep exponent. Total Head Loss is a pure function of Pressure alone (2.31 feet of head per PSI) and never responds to diameter, length, or material at all.

Friction Loss per 100ft, by contrast, is driven by Pipe Length and Pressure only -- pipe diameter and material do not enter that particular output's formula at all, so treat it as a simplified estimate: it spreads Total Head Loss back over Pipe Length rather than computing a true diameter- and material-aware friction gradient, and it does not respond to flow rate either. For a diameter- and material-aware figure, use Flow Rate and Velocity above, which do account for those inputs. This is a simplified single-phase, full-pipe flow model; it does not account for fittings, valves, elevation changes, or partially-full gravity flow.

Inputs

in
PSI
ft

Results

Flow Rate

1.05 GPM

Velocity0.76 ft/s
Friction Loss40 PSI/100ft
Total Head Loss92.4 ft
Flow Rate (metric)3.98 L/min
How to Use This Calculator
  1. Enter Pipe Diameter (inches) and Supply Pressure (psi).
  2. Set Pipe Length (ft) to account for friction losses.
  3. Select Pipe Material (Copper, PVC/CPVC, Galvanized Steel, or PEX) for the Hazen-Williams coefficient.
  4. Review Flow Rate (GPM) at the specified pressure and length.
  5. Use flow rate to size fixtures, irrigation zones, or booster pumps.

How the result changes with Pipe Diameter

Pipe DiameterFlow Rate
0.380.17 GPM
0.560.49 GPM
1.133.09 GPM
1.8811.78 GPM

What each input means

Pipe Diameter
Interior diameter of the pipe in inches.
Pressure
Available water pressure at the supply point.
Pipe Length
Total length of the pipe run in feet.
Pipe Material
Pipe material affects friction coefficient and flow capacity.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Pipe Diameter = 0.75, Pressure = 40, Pipe Length = 100, Pipe Material = 1 = 4 input(s) provided
  2. Calculate Flow Rate
    1.05 = 1.05
  3. Calculate Velocity
    Velocity
    0.76 = 0.76
  4. Calculate Friction Loss
    40 = 40

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does a small change in Pipe Diameter move Flow Rate so much more than pressure does?

The Hazen-Williams formula this calculator uses raises Pipe Diameter to the 2.63 power, while Pressure and Pipe Length only enter through a much gentler 0.54 exponent. That steep diameter exponent means even a modest widening of the pipe increases the calculated flow rate far more than an equivalent percentage increase in supply pressure.

How much does pipe material actually matter?

Material sets the Hazen-Williams roughness coefficient C, ranging from 120 for galvanized steel (roughest, lowest flow) to 150 for PVC/CPVC and PEX (smoothest). That coefficient enters the flow formula as a simple linear multiplier, so switching material shifts flow by tens of percent -- real, but smaller than what a change in pipe diameter produces.

Why doesn't Total Head Loss depend on my pipe diameter or material choice?

Total Head Loss is calculated purely from Pressure using the fixed conversion of 2.31 feet of head per PSI of water pressure -- a hydrostatic relationship that has nothing to do with the pipe carrying the water. Diameter, length, and material affect flow rate and friction loss, but never this figure.

What's the difference between Total Head Loss and Friction Loss per 100ft?

Total Head Loss is the full available pressure head converted to feet, independent of the pipe run. Friction Loss per 100ft instead spreads that head loss over your actual Pipe Length to estimate how much pressure is lost for every 100 feet the water travels, so it responds to Pipe Length and Pressure rather than to diameter or material.

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