Aircraft air conditioning system must be compliant with the Noise Regulations of every countries in which it will be operated. In the Clean Sky 2 project IDEAS, the system of interest is composed of an air pump, developped by Liebherr Aerospace, that generates low and mid-frequency noise that may be mitigated by the use of innovative acoustic liners. The aim of this study is to assess the level and modal content of the generated noise source in two industrial operating conditions. The modal detection solution proposed by ONERA leads to the post-treatments of measurements obtained by a flush-mounted microphone array located downstream of the diffuser. As microphones will be implemented in a hard-wall region of the duct, the modal basis characterizing the measured acoustic field does not depend on the lined walls, located in the diffuser area. The deconvolution method ARMADA leads to the minimization of the discrepancy, in the least-square sense, between measurements and an analytical model of the acoustic pressure field that propagates in cylindrical ducts. In the first part of this article, the analytical models in uniform and non-uniform flows are introduced, with underlying hypotheses. In the case of shear flow, the modal shapes are given by ONERA's MAMOUT code. Then, the deconvolution method is presented, considering that the modes are correlated, as wave reflections may occur at the end of Liebherr's bench. In the second part, the design of the IDEAS microphone array is defined, considering uniform flow only. Different sensor arrangements are compared. One design is retained and the associated estimation errors are assessed. In the third part, the impact of estimating modes under the uniform flow hypothesis despite the fact that shear flow occurs during measurements is evaluated. A potential misleading impact is highlighted at 3150 Hz on the m = 0 and n = 1 mode. Finally, the experimental setup is introduced and the analysis of the measurements performed in the facility without use of acoustic liners are detailed for two operating conditions.