Flow Velocity & Pipe Diameter To Volumetric Flow Rate Calculator

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Volume Flow Rate Factors
Flow Velocity (v) [?]
nanometres (nm) micrometres (µm) thousandths 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 (h) day (d) week (wk) month (mo) year (yr)
Diameter (ø) [?]
Select diameter unit nanometres (nm) micrometres (µm) thousandths 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 (h) day (d) week (wk) month (mo) year (yr)
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  • Calculate flow speed from volumetric flow rate and pipe diameter
  • Calculate duct diameter from flow velocity and volume flow rate
  • Calculate mass flow rate from volumetric flow rate and density
  • Convert volumetric flow rates to other units
  • Convert diameter into to other units
  • Convert flow speed to other units

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

Q = ¼ · v · π · ø²

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.

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