Mass Flow Rate of a Divergent Nozzle in Terms of Ideal Gas Law Calculator

The mass flow rate through a convergent nozzle is a crucial parameter in fluid dynamics, especially in the context of compressible flows like those found in rocket nozzles or jet engine exhausts. Let’s break it down.

A convergent nozzle is a geometric configuration where the cross-sectional area of the flow decreases in the direction of the flow. In the context of a rocket or jet engine, the nozzle is where high-velocity, high-temperature gases are expelled to generate thrust.

for ideal gas:

For compressible flows, especially in high-speed nozzle flows, the ideal gas law is often used to relate density (), temperature (), and pressure ():

which gives,

where,

  • ṁ is the nozzle mass flow rate
  • P is the pressure
  • R is the gas constant for the working fluid
  • T is the Temperature
  • A is the nozzle throat are
  • V is the velocity of the flow in terms of the local speed of sound

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