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Abstract: The paper presents a methodology to account for local mean-flow effects on thermo-acoustic instabilities to improve typical calculations performed under the zero-Mach number assumption. A 3D FEM model of a simplified combustor is solved with COMSOL Multiphysics® Pressure Acoustics interface. The Helmholtz equation is used to model the combustor and the classical k-τ model for the Flame Transfer Function is adopted.The burner is replaced with its transfer matrix (BTM), computed through the Aeroacoustics interface assigning a mean-flow, and which implicitly takes into account the mean-flow effects. The BTM ability to represent local mean-flow effects and the impact on the principal modes' stability is evaluated comparing the results with an in-house 1D code solving the linearized Navier-Stokes equations with mean flow.