Aerospace Instrument-Making Annotation << Back Modeling of Local Induction Heating in the Problems of Diagnostics of Aircraft Liquid Systems Khvostov A.A., Ryazhskikh V.I., Soboleva E.A., Ryazhskikh A.V. The paper considers a mathematical model of a mobile induction generator of a heat mark, formalizing the processes of heat and mass transfer in a non-Newtonian fl uid moving in a cylindrical metal pipeline with a dynamic viscosity specifi ed by the Carreau rheological model for problems of diagnostics of the technical condition of liquid systems of aircraft. The mathematical model includes a description of the turns of a coil with a conductor, a steel wall of a pipeline and a flow of non-Newtonian fl uid. The model is formalized on the basis of the Ampere law, the equations of conservation of momentum, mass and energy. The results of modeling the evolution of electromagnetic, velocity and thermal fi elds under various modes of fl uid flow and electromagnetic pulse of the induction generator are presented. A qualitatively correct description of the main laws of heat and mass transfer occurring in the model environment when introducing thermal disturbance by induction is shown. Keywords: induction heating, non-Newtonian fluid, Carreau model. DOI: 10.25791/aviakosmos.1.2025.1457 Pp. 58-64.