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Application of the 2.5D Harmonic Balance Method to Calculate the Propagation of Unsteady Disturbances Through a Duct of a Turbofan

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Abstract

A method for calculating the propagation of unsteady disturbances along the duct of a turbofan engine, taking into account nonlinear effects, is presented. It is based on finding a solution in the form of a finite set of circumferential modes and performing calculations for the complex amplitudes of these modes using the harmonic balance method. The use of the method can speed up the calculation of the propagation of disturbances through the air intake and the nozzle of a turbofan engine in the case when the influence of nonlinear effects cannot be neglected. The method under consideration is implemented in the Central Institute of Aviation Motors (CIAM) 3 Dimensional Acoustics Solver (3DAS) software package. It is tested on the problem of calculating the nonlinear interaction of acoustic modes in a 2D cylindrical channel. The calculation results using this method are in close agreement with the results of the calculation performed in the time domain.

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Rossikhin, A.A., Mileshin, V.I. Application of the 2.5D Harmonic Balance Method to Calculate the Propagation of Unsteady Disturbances Through a Duct of a Turbofan. Math Models Comput Simul 14, 129–138 (2022). https://doi.org/10.1134/S2070048222010185

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  • DOI: https://doi.org/10.1134/S2070048222010185

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