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# Volumetric flow rate

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Join date : 2010-11-08

 Subject: Volumetric flow rate   Mon Nov 29, 2010 4:50 am The volumetric flow rate in fluid dynamics and hydrometry, (also known as volume flow rate or rate of fluid flow) is the volume of fluid which passes through a given surface per unit time (for example cubic meters per second [m3 s-1] in SI units, or cubic feet per second [cu ft/s]). It is usually represented by the symbol Q.Volumetric flow rate should not be confused with volumetric flux, as defined by Darcy's law and represented by the symbol q, with units of m3/(m2 s), that is, m s-1. The integration of a flux over an area gives the volumetric flow rate.Given an area A, and a fluid flowing through it with uniform velocity C with an angle θ away from the perpendicular direction to A, the flow rate is: Q = A \cdot C \cdot \cos \theta .In the special case where the flow is perpendicular to the area A, that is, θ = 0, the volumetric flow rate is: Q = A \cdot C .The equation above is commonly referred to as the continuity equation (for one-dimensional incompressible flows). If the velocity of the fluid through the area is non-uniform (or if the area is non-planar) then the rate of fluid flow can be calculated by means of a surface integral: Q = \iint_{S} \mathbf{C} \cdot d \mathbf{S} where dS is a differential surface described by: d\mathbf{S} = \mathbf{n} \, dA with n the unit surface normal and dA the differential magnitude of the area.If a surface S encloses a volume V, the divergence theorem states that the rate of fluid flow through the surface is the integral of the divergence of the velocity vector field C on that volume: \iint_S\mathbf{C}\cdot d\mathbf{S}=\iiint_C\left(\nabla\cdot\mathbf{C}\right)dV . Australis CruisesMusicproducersOrlando50

 Volumetric flow rate
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