Coupled Mechanic-Acoustic Eigenvalues in a Fluid Filled Pipe¶
All the files in this tutorial can be downloaded here
.
We consider a fluid filled pipe in an axi-symmetric setting. Three eigenvalue analyses are done, first for the individual problems (fluid only, pipe only) and then for the coupled case.
- Look at the geometry definition in the Cubit journal file
pipe.jou
- Go through the simulation input
mech-acou-eigenvalues.xml
. The material filemat.xml
is pretty standard - Run the simulation using the run-script
run.sh
- Look at the mode shapes for the different sequence steps. You can use the provided paraview state file
coupled-visualization.pvsm
Things to think about¶
- How could you estimate the first fluid-only mode analytically?
- What does the mode shape and natural frequency of the pipe only represent? What do the natural frequencies depend on?
- Why are the natural frequencies of the coupled system lower?
- Can you estimate the wave speed of a compression wave in the pipe?