Acoustical systems: analogies | Part 2: equivalent circuits

Local equation

We recall the local behavioral equations of a fluid:

The first equation expresses the inertial effects of the length of tube, and the second, the compressibility effects under the hypothesis of an adiabatic behavior. This system of equations is similar to the telegraphers equations which express the propagation of an electric wave in a conductor[4].

In what follows, we consider that the pressure and velocity variables are written in their complex form:

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