Acoustical systems: analogies | Part 2: equivalent circuits

Cross section changes in a wave guide (2)

The cross section change between the two ducts is shown by a transition zone.

In the transistion zone, the following phenomena exist:

  • The volume velocity changes abruptly in the cross section of the big waveguide in the transistion zone.

  • Between and , there is a field expansion due to the conservation of flow between the input and output of the junction ( )

  • As the fluid is deformable (air), the transistion is very fast, thus the transistion zone is very small ( ). In the case of slightly deformable fluid (oil for example), the transition zone will be a lot bigger.

  • Outside of this zone, we retain and

By choosing global variables for pressure and volume velocity, the cross section does not need to be represented.

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