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Volumetric Flow Rate Calculator

Quickly calculate fluid flow rate (Q) or flow velocity (v) in pipes and ducts using the continuity equation. Built-in conversions for GPM, CFM, m³/s, and more.

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Result

Enter your pipe parameters to see flow rate or velocity calculations.

Understanding Volumetric Flow Rate

Volumetric flow rate is a measure of the volume of fluid (liquid or gas) that passes through a given cross-sectional area per unit of time. It is a fundamental concept in fluid mechanics, plumbing, HVAC (Heating, Ventilation, and Air Conditioning), and civil engineering.

Whether you are sizing a water pump, designing ductwork, or checking pipe capacities, understanding the relationship between the pipe's diameter and the velocity of the fluid inside is essential. Our calculator handles the math and the tedious unit conversions instantly.

The Flow Rate Formula

The relationship between flow rate, velocity, and area is defined by the continuity equation:

Q = v × A
  • Q = Volumetric Flow Rate (e.g., m³/s, GPM)
  • v = Flow Velocity (e.g., m/s, ft/s)
  • A = Cross-sectional Area of the pipe

Because most pipes are circular, the Area (A) is calculated using the diameter (d) with the formula: A = π × (d / 2)².

Common Units & Conversions

Flow rate is expressed in various units depending on the industry and region. This calculator automatically converts between:

  • GPM (Gallons per Minute): The standard unit for liquid flow in the US.
  • CFM (Cubic Feet per Minute): Commonly used for airflow in HVAC systems.
  • L/s & L/min (Liters): Metric standards for everyday water and fluid flow.
  • m³/s & m³/h: Used in large-scale engineering and municipal water systems.