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Volumetric flow rate

Gives the volume of fluid passing through a surface per unit time, found by integrating the normal component of the velocity field over the surface. It is used in fluid mechanics to quantify flow through pipes, channels and other cross-sections.

q_V = \iint_A \boldsymbol{v} \cdot \boldsymbol{e}_{\mathrm{n}} \, \mathrm{d}A

What the symbols mean

volume flow rate (m^3/s)
fluid velocity vector field (m/s)
unit normal vector to the surface
surface area over which the flow is integrated (m^2)

About this formula

  • FieldPhysics
  • TopicFluid mechanics
  • LevelUniversity
  • Also calledvolume flow rate, flow rate, rate of fluid flow, volume velocity, discharge, fluid flux through a surface
  • SourceWikidata Q1134348

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