Analysis of Thermal Modes of a Bimetallic Tube Under Short-Term Induction Heating

A physico-mathematical model is proposed for determining and analyzing the Joule heat behavior in a two-layered tube under the action of a nonstable electromagnetic field. The basic boundary value relations for determination of the electromagnetic field for the considered tube are formulated. The axial constituent of the magnetic field intensity vector is the determining function. It is used a quadratic approximation of this constituent along the radial coordinate in each component layers of the tube and the Laplace transform in time are used for the solution construction. It is found the expressions for this constituent and Joule heat in the component layers of the two-layered tube under the action of a nonstable electromagnetic field. It is studied the time behavior depending on the carrier frequency and the duration of a nonstable electromagnetic action across the thickness of each component layer of the considered constituent of the magnetic field intensity vector and Joule heat.