Aerospace Instrument-Making Annotation << Back Mathematical Modeling of the "Flow Tube – Liquid" System in Coriolis Flowmeters Taken Into Account of Added Mass Mikheev M.Yu., Gudkova E.A., Gudkov K.V. Mathematical modeling of the “flow tube – liquid” system in Coriolis flow meters was performed using the finite element method. The main factors influencing the accuracy of mass flow determination are analyzed. The creation of a numerical model of the “flow tube – liquid” system is described step by step. The stages of vibration analysis in the COMSOL Multiphysics simulation environment have been defined. The natural frequencies of the “flow tube – liquid” system were analyzed and the influence on them of additional masses of sensors located on the tube was modeled. The dependence of the resonant frequency of the “flow tubeliquid” system on the added mass of the sensors has been revealed. An assessment was made of the relative error in determining the resonant frequency, which affects the calculation of the density of the measured liquid. Keywords: mathematical modeling, vibration analysis, Coriolis flow meter, flow tube-liquid system, added sensor masses. DOI: 10.25791/aviakosmos.11.2025.1521 Pp. 56-63.