A nozzle is often a pipe or tube of varying cross sectional area, and it can be used to direct or modify the flow of a fluid (liquid or gas).
Nozzles are frequently used to control the rate of flow, speed, direction, mass, shape, and/or the pressure of the stream that emerges from them.
In nozzle velocity of fluid increases on the expense of its pressure energy.
Calculating area of Nozzle
Harikrishnan Murali
Nozzle
Geometry
The nozzle in question here is a supersonic diverging nozzle.
It converts a low speed fluid flow into a flow faster than the speed of sound.
Necessity of the App
The nozzle geometry results in the formation a region where there is an abrupt conversion of fluid velocity.
This is called a shockwave.
This region is of utmost importance to fluid dynamicists.
The area of the nozzle's cross section is the first step towards calculating the location of the shock.
How it works
- It uses the formula
\[A(x)=1.398 + 0.347\tanh(0.8x-4)\]
where \(A(x)\) is the area at a particular distance \(x\).
##If x=1, then
x=1
A=1.398 +0.347*tanh(0.8*x-4)
print(A)
## [1] 1.052151