Flow Rate Calculator

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Flow Rate Calculator

Enter either the pipe diameter and velocity or the volume of fluid passing in a given time to calculate the volumetric flow rate.

• Using Diameter & Velocity
• Using Volume & Time

Calculate Initial Fill Volume

Diameter: in ft mm cm m Velocity: ft/s m/s

Calculate Resurfacing Volume

Volume: fluid ounces quarts pints gallons milliliters liters cubic inches cubic feet cubic centimeters cubic meters Time: seconds minutes hours days Help Icon ×

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Calculated Flow Rate:

ft³/sec ft³/min ft³/hr gal/sec gal/min gal/hr m³/sec m³/min m³/hr l/sec l/min l/hr Learn how we calculated this below

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On this page:

• Calculator
• How to Calculate Flow Rate
• Flow Rate Formula
• Alternate Flow Rate Formula
• Average Flow Rate Chart
• References

Person Icon By Joe Sexton

Joe is the creator of Inch Calculator and has over 20 years of experience in engineering and construction. He holds several degrees and certifications.

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Review Badge Icon Reviewed by Sarabeth Asaff South

Sarabeth is an expert in the home and garden industry and was formerly a certified kitchen and bathroom designer. She is a subject matter expert in home improvement and is often quoted in notable publications.

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Cite As:

Sexton, J. (n.d.). Flow Rate Calculator. Inch Calculator. Retrieved July 7, 2024, from https://www.inchcalculator.com/flow-rate-calculator/

How to Calculate Flow Rate

If you’re installing a new filtration system, water softener, or other pipe-based system in your home or business, you will need to know your home’s flow rate to determine the right system size.

Volumetric flow rate, also referred to as volume flow rate, flow rate, or volume velocity, is defined as the volume of fluid passing a point in a given unit of time.[1] The SI unit of flow rate is cubic meters per second (m³/s).

Meaning that a system may be able to handle a given amount or volume of liquid at one time. Knowing what your plumbing flow rate is will enable you to choose a filter or other system type that will work with your plumbing.

Flow rate can be found by simply measuring the amount of fluid that fills a bucket in a given amount of time or using a formula.

Flow Rate Formula

The flow rate of a fluid can be calculated using the volumetric flow rate equation:

Q = A × v

Thus, the volume flow rate Q is equal to the cross-sectional area of the pipe A times the velocity of the fluid v.[2]

To use the flow rate formula, substitute the cross-sectional area of the pipe and the velocity of the liquid. For a round pipe, the cross-sectional area can be found using the formula for circle area A = πr².

For example, let’s find the flow rate for the fluid passing through a 1″ diameter pipe at a velocity of 3 feet per second.

Start by finding the cross-sectional area of the pipe.

area = π × r² area = 3.14 × (1 ÷ 2)² area = 3.14 × 0.25 area = 0.785398 in²

Next, it will be easier to solve later if the velocity and the area are in the same units. Convert the area in square inches to square feet by dividing by 144.

A = 0.785398 in² ÷ 144 A = 0.00545 ft²

Finally, substitute the area and velocity in the flow rate equation and solve.

Q = 0.00545 ft² × 3 ft/sec Q = 0.01635 cubic ft/sec

Thus, the flow rate is 0.01635 cubic feet per second.

Because most systems work in gallons per minute, or GPM, you will need to convert your cubic feet per second to gallons per minute.

Start by multiplying the cubic feet per second by 7.481, then by 60, which will give you cubic feet per gallon and per minute.

For 0.01635 cubic feet/sec, this would be:

0.01635 × 7.481 × 60 = 7.34 GPM

Alternate Flow Rate Formula

An alternative formula to solve flow rate is:

Q = V / t

The volume flow rate Q is equal to the volume of liquid passed V divided by the time passed t.

To use this formula, you need to be able to measure the volume of liquid that passes in a given time.

For example, let’s find the flow rate for a garden hose that can fill a 5-gallon bucket in 3 minutes.

Q = 5 / 3 Q = 1.67 gal/min

Thus, the flow rate is 1.67 gallons per minute.

Average Flow Rate Chart

While water pressure and other factors can influence your total flow volume, most pipes will have general averages for flow rates. The following assumes minimum and maximum pressures on the pipe:

Table showing the average flow rate in gallons per minute for common pipe sizes.

Pipe Diameter	Average GPM
1″	16 – 58
1 1/2″	35 – 126
2″	55 – 200
3″	140 – 425
4″	240 – 700

Try our unit rate calculator to find the rate of other units.

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References

1. Engineers Edge, Fluid Volumetric Flow Rate Equation, https://www.engineersedge.com/fluid_flow/volumeetric_flow_rate.htm
2. Chris Deziel, How to Calculate Flow Rates, Sciencing, https://sciencing.com/calculate-flow-rates-6199676.html

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