Induction Heating Problems for 2-D Vectgor Electromagnetic Code Validations

摘要

Four problems in induction heating of lossy and non-lossy media are posed. The first consists of a simple two-region geometry which is amenable to analytic solution. Two possible boundary conditions are suggested, one of which requires the coupling of interior and exterior solutions (thus making a three region problem). The next two problems are "spin-offs" of the first where the geometry is modified in simple ways. We have found that while these alternate geometries are quite harmless in appearance, they nonetheless produce some very interesting and complex solutions which can be quite non-intuitive, especially when lossy and non-lossy media occur in combination. The final problem is an irregularly-shaped set of lossy regions placed inside a cylindrical induction heater. It is intended to be representative of induction heating of biological tissue as a cancer therapy. Some sample solutions are provided.