Stagnation Pressure Calculator

Formula

The formula to calculate the stagnation pressure is:

\[ P_{stag} = P_{static} + \frac{1}{2} \rho v^2 \]

Where:

\( P_{stag} \) is the Stagnation Pressure (Pa)
\( P_{static} \) is the static pressure (Pa)
\( \rho \) is the fluid density (kg/m³)
\( v \) is the fluid speed (m/s)

What is Stagnation Pressure?

Stagnation pressure is the pressure a fluid exerts when it is forced to stop moving. It is a combination of the fluid's static pressure and the dynamic pressure resulting from its motion. This concept is crucial in fluid dynamics and aerodynamics for understanding the behavior of fluids in motion.

Example Calculation

Let's assume the following values:

Static Pressure (Pstatic): 1000 Pa
Fluid Density (p): 1.225 kg/m³
Fluid Speed (v): 30 m/s

Using the formula to calculate the stagnation pressure:

\[ P_{stag} = 1000 + \frac{1}{2} \times 1.225 \times 30^2 = 1551.25 \text{ Pa} \]

The stagnation pressure is 1551.25 Pa.