Poiseuille's Formula Calculator

Calculate Volumetric Flow Rate









Formula

The formula to calculate the Volumetric Flow Rate (Qv) is:

\[ Q_v = \frac{\Delta p \cdot \pi}{8} \cdot \frac{r_p^4}{\mu_v \cdot L} \]

Definition

Volumetric Flow Rate of Feed to Reactor gives the volume of the reactants stream being fed to the reactor per unit time. Pressure changes is the difference between the pressure inside the liquid droplet and atmospheric pressure. Pipe Radius is a radial line from the focus to any point of a curve. Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied. Length is the measurement or extent of something from end to end.

Example Calculation

Let's assume the following values:

Using the formula:

\[ Q_v = \frac{3.21 \cdot \pi}{8} \cdot \frac{2.22^4}{1.02 \cdot 3} \approx 10.0058822882867 \]

The Volumetric Flow Rate is approximately 10.0058822882867 m³/s.

Conversion Chart

Pressure Changes (Pa) Pipe Radius (m) Dynamic Viscosity (Pa·s) Length (m) Volumetric Flow Rate (m³/s)
1 2.22 1.02 3 3.117097286071
2 2.22 1.02 3 6.234194572141
3 2.22 1.02 3 9.351291858212
4 2.22 1.02 3 12.468389144283
5 2.22 1.02 3 15.585486430353