Development of Methods for Solving Problems of Transient Heat Conduction of Plane Layered Media

The problem about heat propagation from a transient point heat source located inside or outside a plane layered heat-conducting medium is studied. The transient problem is reduced to the harmonic point heat source problem for which the reflection method is generalized. The developed reflection method for a point harmonic source is generalized to the case of an arbitrary system of sources and applied to solving problems of transient heat conduction of plane layered media with axially symmetric heat sources with a complex shape.