Nozzle Velocity Calculator

Formula

The formula to calculate the Nozzle Velocity (V) is:

\[ \text{V} = \frac{\dot{m}}{\rho \cdot A} \]

Where:

V – The nozzle exit velocity (m/s).
\(\dot{m}\) – The mass flow rate out of the nozzle (kg/s).
\(\rho\) – The density of the fluid (kg/m³).
A – The cross-sectional area of the nozzle (m²).

Definition

Nozzle Velocity: The linear flow rate of a fluid moving out of a nozzle.
Mass Flow Rate (\(\dot{m}\)): The amount of mass flowing through the nozzle per unit time (kg/s).
Density (\(\rho\)): The mass per unit volume of the fluid (kg/m³).
Cross-Sectional Area (A): The area of the nozzle's cross-section (m²).

Example

Let's say the mass flow rate (\(\dot{m}\)) is 5 kg/s, the density (\(\rho\)) is 1.2 kg/m³, and the cross-sectional area (A) is 0.01 m². Using the formula:

\[ \text{V} = \frac{5}{1.2 \times 0.01} \approx 416.67 \, \text{m/s} \]

So, the nozzle velocity is approximately 416.67 m/s.