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In this study a detailed numerical analysis of a steady and unsteady compressible flow within an exhaust-type duct is presented. Since the large computational effort required by the analysis of real industrial exhaust geometries, a Y-junction has been chosen as a simplified but representative model. The main purpose of the present work has been the calibration of one-dimensional simulation code, by means of the results comparison with a more accurate three-dimensional CFD computation. Thus, under the steady state condition a suitable tuning parameter has been identified in order to improve the prediction capabilities of the 1-D code. On the contrary, in the case of the transient analyses such a coefficient has revealed to be ineffective, demonstrating the stringent need for 3-D numerical simulations. In addition, interesting information regarding flow field development and waves propagation inside the junctions has been found out.