Nozzle Velocity Calculator

This calculator determines the velocity of fluid exiting a nozzle based on pressure and area parameters. It's useful for fluid dynamics analysis, rocket propulsion, and industrial hydraulics calculations.

Input Parameters

Calculation Results

Calculation Formula

Velocity (V) = √(2P/ρA)

Where:
V = Fluid velocity [m/s]
P = Absolute pressure [Pa]
ρ = Fluid density [kg/m³]
A = Nozzle area [m²]

Nozzle Velocity Calculator Usage Guide

Learn how to use the Nozzle Velocity Calculator and its working principles

How to Use This Calculator

  1. Enter the absolute pressure of the fluid in the nozzle in Pascals (Pa)
  2. Input the cross-sectional area of the nozzle in square meters (m²)
  3. Provide the density of the fluid in kilograms per cubic meter (kg/m³)
  4. Click the "Calculate" button to compute the fluid velocity
  5. The result will be displayed in meters per second (m/s)

Working Principle

This calculator uses the basic fluid dynamics equation relating pressure, area, and velocity:

V = √(2P/ρA)

This equation is derived from Bernoulli's principle and the continuity equation. It assumes incompressible flow and no energy losses in the nozzle.

Applications

  • Aerospace engineering for rocket nozzle design
  • Industrial hydraulics and fluid systems
  • Water jet cutting and machining calculations
  • Firefighting equipment design
  • Wind tunnel testing

Example

If a nozzle has a pressure of 500,000 Pa, an area of 0.01 m², and fluid with a density of 1000 kg/m³, the exit velocity would be:

V = √(2*500,000/1000*0.01) = √10,000 = 100 m/s