Nozzle Velocity Calculator

Nozzle Velocity Calculator:

Enter the values of mass flow rate, m_(kg/s), fluid density, p_(kg/m3) and cross-sectional area, A_(m2) to determine the value of nozzle velocity, V_(m/s).

Enter Mass Flow Rate :		kg/s
Enter Fluid Density :		kg/m3
Enter Area :		m2
Result – Nozzle Velocity :		m/s

Nozzle Velocity Formula:

Nozzle velocity refers to the speed at which a fluid exits a nozzle. This velocity is primarily determined by the mass flow rate of the fluid, the density of the fluid, and the cross-sectional area of the nozzle’s exit.

Velocity, V_(m/s) in metres per second, is equal to the mass flow rate, m_(kg/s) in kilograms per second, divided by the product of the fluid density, p_(kg/m3) in kilograms per cubic metres, and the cross-sectional area, A_(m2) in square metres, of the nozzle.

Nozzle Velocity, V_(m/s) = mdot_(kg/s) / p_(kg/m3) * A_(m2)

V_(m/s) = nozzle velocity in metres per second, m/s.

mdot_(kg/s) = mass flow rate in kilograms per seconds, kg/s.

p_(kg/m3) = fluid density in kilograms per cubic metres, kg/m³.

A_(m2) = area in square metres, m².

Nozzle velocity Calculation:

1.Calculate the nozzle velocity for a water jet:

Given: Mass flow rate, mdot_(kg/s)= 10 kg/s, Density of water p_(kg/m3)= 1000 kg/m³, Cross-sectional area of the nozzle A_(m2)= 0.005 m².

Nozzle Velocity, V_(m/s) = mdot_(kg/s) / p_(kg/m3) * A_(m2)

V_(m/s) = 10 / 1000 * 0.005

V_(m/s) = 10 / 5

V_(m/s) =  2m/s.

2.Calculate the cross-sectional area of a nozzle required to achieve a specific nozzle velocity given the mass flow rate and fluid density.

Given: Nozzle velocity V_(m/s)= 30 m/s, Mass flow rate mdot_(kg/s) = 15 kg/s

Density of the fluid p_(kg/m3) = 1200 kg/m³ (say, for a dense fluid like glycerin)

Nozzle Velocity, V_(m/s) =  mdot_(kg/s) / p_(kg/m3) * A_(m2)

A_(m2) = mdot_(kg/s) / p_(kg/m3) * V_(m/s)

A_(m2) = 15 / 1200 * 30

A_(m2) = 15 / 36000

A_(m2) = 0.0004167m².