Calculating Pressure Distribution in a Nozzle for Abaqus

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Discussion Overview

The discussion revolves around calculating the pressure distribution in a convergent nozzle using Abaqus. Participants explore methods such as Bernoulli's equation and conservation of mass, considering factors like flow assumptions and compressor data to determine appropriate load applications.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant suggests using Bernoulli's equation and conservation of mass to estimate pressure distribution.
  • Another participant questions the velocity of the air at 15 bar to assist in calculations.
  • A participant emphasizes the need to determine if the flow is incompressible or compressible, noting that assumptions may need to be made based on flow conditions.
  • A participant shares a CFM value from a compressor data sheet and performs calculations to convert it to a flow rate and velocity, leading to a Mach number estimation.
  • There is uncertainty regarding the accuracy of the calculations and whether the flow can be treated as compressible based on the derived Mach number.

Areas of Agreement / Disagreement

Participants express differing views on the assumptions regarding flow compressibility and the methods to apply for pressure distribution calculations. The discussion remains unresolved with multiple competing approaches and assumptions presented.

Contextual Notes

Participants mention potential limitations in their calculations, such as ignoring viscosity effects and the dependence on the accuracy of compressor data. The discussion also highlights the need for clarity on flow conditions to apply the appropriate theoretical models.

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Hey all,

So I have a small convergent nozzle that I'm modelling in Abaqus and I'm wondering how I could work out the pressure distribution so I can apply the correct load. The problem is I only know the pressure being fed to it by air compressor. Is there a way to use Bernoulli s or some other method ? Can I make assumptions for the velocities or maybe even find general info on compressor and assume same?

Also considering the size of the nozzle is only about 30mm would I be as well to set the load as a uniform pressure?

Thanks!
 
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You could get a decent estimate using conservation of mass and Bernoulli's equation.
 
boneh3ad said:
You could get a decent estimate using conservation of mass and Bernoulli's equation.
Thanks for the reply. How would I go about doing this as I only know the pressure is 15 bar?
 
Do you know how fast it is moving at 15 bar?
 
boneh3ad said:
Do you know how fast it is moving at 15 bar?
No I don't although I could probably take a value from a compressor data sheet and assume the same?
 
The first think you need to do is figure out whether the flow can be assumed incompressible or not. If it is incompressible, you can just use conservation of mass and Bernoulli's equation. If it is compressible, you will have to make a few assumptions.

If it is compressible, it's probably easiest if the incoming speed is slow enough that you can treat it as zero. If it is incompressible, the mass is easier but you will need to figure out what flow rate you have moving through the system so you can convert that to a velocity and then a pressure using the Bernoulli equation. Even then, it's just an estimate since you are going to be ignoring the effects of viscosity.
 
boneh3ad said:
The first think you need to do is figure out whether the flow can be assumed incompressible or not. If it is incompressible, you can just use conservation of mass and Bernoulli's equation. If it is compressible, you will have to make a few assumptions.

If it is compressible, it's probably easiest if the incoming speed is slow enough that you can treat it as zero. If it is incompressible, the mass is easier but you will need to figure out what flow rate you have moving through the system so you can convert that to a velocity and then a pressure using the Bernoulli equation. Even then, it's just an estimate since you are going to be ignoring the effects of viscosity.

Hey, thanks for the help. I got a CFM value from the compressor data sheet of 5.8. I converted it to 0.002454 m3/sec and then that to 195 m/s by dividing by the csa. Are my maths right here? That would give a mach of 0.57 and so it must be compressible right?

Thanks again.
 
Last edited:

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