Volumetric Flow Rate

Written by Jerry Ratzlaff. Posted in Fluid Mechanics

flow rateVolumetric flow rate (also called flow rate) is the amount of fluid that flows in a given time past a specific point.

formula

\(Q\) or \(V = \frac {v}{t} = \frac {Ad}{t} = A \bar {v}   \)

\(Q = k i A \)

\(Q = v A \)

Where:

\(Q\) = volumetric flow rate / flow rate

\(A\) = end flow cross sectional area

\(Ad\) = cylinder volume area

\(t\) = time

\(v\) = flow velocity

\(\bar {v}\) = average flow velocity

\(k \) = hydraulic conductivity

\(i\) = hydraulic gradient

\(d_i\) = internal pipe diameter

\(\pi\) = Pi

Solve for:

\(A = \frac { Q }{ v }\)

\(v = \frac{ Q }{ A }\)

\(v = \frac {4 Q} { d_i^2 \pi }   \)

\(k = \frac { Q} { i A} \)

\(i = \frac {Q} { k A}   \)

\(A = \frac {Q} { k i }   \)