# Volumetric Flow Rate

Written by Jerry Ratzlaff. Posted in Fluid Mechanics

Volumetric 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:

$$A = \frac { Q }{ v }$$

$$v = \frac{ Q }{ A }$$

$$v = \frac {4 Q} { d_i^2 \pi }$$

$$k = \frac { Q} { i A}$$

$$i = \frac {Q} { k A}$$

$$A = \frac {Q} { k i }$$