Flow Rate Calculator

Calculate volumetric and mass flow rate for pipes, pumps, and fluid systems.

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Input

kg/m³

Result

Cross-Sectional Area
Volumetric Flow (L/min)
Volumetric Flow (GPM)
Volumetric Flow (m³/h)
Mass Flow (kg/s)
Mass Flow (lb/min)

Formula

Q = A × v

Understanding Flow Rate Calculations

Flow rate measures the volume or mass of fluid passing through a cross-section per unit time. It's fundamental to plumbing, HVAC, chemical processing, and hydraulic system design. Accurate flow calculations ensure proper pipe sizing, pump selection, and system efficiency.

Key Formulas

Volumetric Flow: Q = A × v
Circular Area: A = π × (d/2)²
Rectangular Area: A = w × h
Mass Flow: ṁ = ρ × Q = ρ × A × v

Where Q is volumetric flow rate (m³/s), A is cross-sectional area (m²), v is flow velocity (m/s), and ρ is fluid density (kg/m³).

How to Calculate Flow Rate

1
Select the pipe shape — circular pipe or rectangular duct.
2
Enter the pipe inner diameter (circular) or duct width and height (rectangular) with units.
3
Enter the flow velocity and the fluid density (default is water at 998 kg/m³).
4
Read the volumetric flow (L/min, GPM, m³/h) and mass flow (kg/s, lb/min).

Frequently Asked Questions

How do I calculate flow rate?

Flow rate Q = cross-sectional area × flow velocity. For a circular pipe: Q = π × (d/2)² × v. For a rectangular duct: Q = w × h × v. Ensure all units are consistent (e.g., meters and m/s gives m³/s).

How do I calculate the cross-sectional area of a pipe?

For a circular pipe: A = π × r² = π × (d/2)². Use the inner diameter (not outer) for flow calculations. For a rectangular duct: A = width × height. Always use internal dimensions.

What is GPM?

GPM stands for Gallons Per Minute — a common unit for volumetric flow rate in the US. 1 GPM = 3.7854 L/min = 0.06309 L/s = 0.2271 m³/h. Typical residential water flow is 6–12 GPM.

How do I convert L/min to GPM?

Divide L/min by 3.7854 to get GPM. For example, 20 L/min ÷ 3.7854 = 5.28 GPM. Conversely, multiply GPM by 3.7854 to get L/min.

What is the difference between volumetric and mass flow rate?

Volumetric flow rate (Q) measures volume per time (L/min, GPM, m³/h). Mass flow rate (ṁ) measures mass per time (kg/s, lb/min). They're related by density: ṁ = ρ × Q. For water (ρ ≈ 1000 kg/m³), 1 m³/s = 1000 kg/s.