2. Thermal Spreading in Isotropic Half-Space Regions Available to Purchase

Steady or transient heat transfer occurs in a semi-infinite region or half-space z > 0, which may be isotropic or it may consist of one or more thin isotropic layers bonded to the isotropic half-space. The heat source is some planar singly or doubly connected area such as a circular annulus located in the “free” surface z = 0 of the half-space. The dimensions of the half-space are much larger than the largest dimension of the source area. The “free” surface z = 0 of the half-space outside the source area is traditionally assumed to be adiabatic.