Abstract
The performance of exhaust system is not only dependent on the system itself, but also on the boundary conditions, which are the impedances at the inlet and outlet. For many cases, the exact value of these impedances are not known or easily measured. It is of interest to see the range of performance variation, given the range of possible values of impedance. An exhaustive method to determine the response variation can be used, but is computationally expensive. However, it can be proved that the relationship between boundary impedance and response is in the form of the Moebius transformation, which is a conformal transformation. Taking advantage of this property, the computation can be much reduced. It is also shown that the sensitivity of this dependence can be studied visually using the Moebius transformation.
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