Volume Flow Rate Factors
Flow Velocity (v)
nanometres (nm) micrometres (µm) thousands of an inch (thou) millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) kilometres (km) miles (mi) nautical miles (nmi)
per (/)
nanosecond (ns) microsecond (µs) millisecond (ms) second (s) minute (min) hour (hr) day (d) week (wk) month (mo) year (yr)
Diameter (ø)
Select diameter unit nanometres (nm) micrometres (µm) thousands of an inch (thou) millimetres (mm) centimetres (cm) inches (in) feet (ft) yards (yd) metres (m) kilometres (km) miles (mi) nautical miles (nmi)
Calculate Volumetric Flow Rate
Volume Flow (Q)
cu nanometres (nm³) cu micrometres (µm³) cu thous (thou³) cu millimetres (mm³) cu centimetres (cc, cm³) millilitres (mL) teaspoons (tsp, usa) teaspoons (tsp, metric) tablespoons (Tbsp, usa) tablespoons (Tbsp, metric) cu inches (in³) fluid ounces (fl oz, imp) fluid ounces (fl oz, usa) cups (usa) cups (metric) pints (pt, usa liq) pints (pt, imp) litres (L) gallons (gal, usa liq) gallons (gal, imp) cu feet (ft³) barrels (bbl, oil) cu yards (yd³) cu metres (m³) kilolitres (kL) megalitres (ML) cu kilometres (km³) cu miles (mi³) cu nautical miles (nmi³)
per (/)
nanosecond (ns) microsecond (µs) millisecond (ms) second (s) minute (min) hour (hr) day (d) week (wk) month (mo) year (yr)

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User Guide

This tool will calculate the volumetric flow rate in any units from the specified velocity of a substance flowing through a round duct or pipe of a chosen diameter. For each new calculation a unique conversion scale will be generated for the range of flow speeds and volumetric flow rates for the diameter specified.

Formula

The volumetric flow rate formulae used by this calculator is:

Q = v · π · (ø / 2)²

Derived from:

Q = v · A

A = π · r²

r = ø / 2

Symbols

• Q = Volume flow rate
• v = Flow velocity
• A = Cross-sectional area
• r = Radius
• ø = Diameter

n.b. This formula assumes uniform flow conditions within the entire cross-sectional area of pipe, without any friction losses near to surfaces.

Flow Velocity Measured

Enter the speed at which the substance is moving.

Diameter

Enter the inside diameter of the circular pipe or duct.

Volumetric Flow Rate Calculation

This is the volumetric amount of substance that will flow pass in a unit of time.

What is volume flow?

The volume flow rate is the flow rate expressed by the volume of the fluid quantity.
The volume flow is expressed by the formula: qv=V/t=u×A.
In the formula: qv is the volume flow, m3/s.
V is the unit flow volume, m3.
t is the unit time, s.
u is the average flow velocity in the pipe, m/s.
A is the cross-sectional area of the pipeline, m2.

Among the commonly used flow meters, such as orifice plates, turbine flow meters, vortex flow meters, electromagnetic flow meters, rotameters, ultrasonic flow meters and oval gear flow meters, the flow measurement value is the volume flow of the fluid.

Mass Flow Rate vs Volumetric Flow Rate-How to convert ?

• If the mass flow of the flow is known and needs to be converted into volume flow, the following formula can be used: qv=qm/ρ. In the formula, qv is volume flow, m3/s. qm is mass flow, kg/s. ρ is fluid Density, kg/m3.
• If the volume flow rate of the fluid is known, it needs to be converted into a mass flow rate, which can be done with the formula: qm=qv×ρ.

More: Mass Flow Rate vs Volumetric Flow Rate