Flow Rate Calculator
Calculate volumetric flow rate from pipe area and velocity (Q = A * v), measured volume over time (Q = V / t), or mass flow and density (Q = m_dot / rho). Reports GPM, L/min, m^3/s, and cubic feet per hour.
Frequently Asked Questions about the Flow Rate Calculator
What is volumetric flow rate?
Volumetric flow rate (often written Q) is the volume of fluid passing a point per unit time. In US plumbing and HVAC, the everyday unit is gallons per minute (GPM); in SI it is cubic meters per second (m^3/s), with liters per minute (L/min) and cubic feet per hour (cfh) common for water and gas. This calculator converts between all four so you can switch from a fixture-unit chart in GPM to a meter spec in m^3/s without doing the unit math by hand.
What is the difference between Q = A * v and Q = V / t?
Q = A * v is the design formula: pick a pipe size (which sets the cross-sectional area A) and a target velocity v, and you get the flow you can move through that pipe. Q = V / t is the measurement formula: catch a known volume V in a bucket, time it with a stopwatch, and divide. Use the area-velocity mode when you are sizing a new line or checking against an 8 ft/s plumbing speed limit; use the volume-time mode when you actually have a hose bib in front of you. The mass-rate mode (Q = m_dot / rho) is the version used with Coriolis meters and weigh-tank tests, where you measure how fast mass accumulates and divide by fluid density.
Why does the calculator ask for inner diameter, not pipe size?
Nominal pipe sizes (NPS) do not match the actual inside diameter. A nominal 2 in Schedule 40 steel pipe has an ID of 2.067 in; the same nominal 2 in in Schedule 80 is only 1.939 in. Copper Type L tube nominally 2 in is 1.985 in ID. Plug the wrong number in and the cross-sectional area is off by 5 to 15 percent, which pushes a 10 GPM design straight past its velocity limit. Always look up the inside diameter for your specific material and schedule, then enter that here.
Why is 8 ft/s the typical residential plumbing velocity limit?
Above about 8 ft/s (2.4 m/s) for cold water and 5 ft/s for hot, copper pipes start to suffer accelerated erosion-corrosion at fittings, plastic risks water-hammer damage, and noise becomes audible through walls. Codes like the IPC and UPC do not hard-code the number, but the 2018 Uniform Plumbing Code commentary and Copper Development Association handbook both cite 8 ft/s cold / 5 ft/s hot as the design ceiling. The calculator does not flag this for you, but if you back-solve a target GPM through a small pipe and the velocity output is above 8 ft/s, step up to the next pipe size.
How do I convert between GPM, L/min, m^3/s, and cfh?
All four scale linearly from m^3/s as the SI base. The factors used here are: 1 m^3/s = 15,850.32 US GPM, 1 m^3/s = 60,000 L/min, and 1 m^3/s = 127,132.8 ft^3/hr (cfh). Going the other way, 1 GPM is about 0.06309 L/s and 8.0208 ft^3/hr; 1 L/min is about 0.2642 GPM. The calculator reports all four for any input so you do not need to remember the chain. For natural-gas sizing in particular, watch the units: gas tables almost always quote cfh (cubic feet per hour at standard conditions), while pump curves and chillers usually quote GPM.
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