Thermal field diffusion in one, two and three-dimensional half space

Abstract

The diffusion of suddenly occurring local high temperature in homogeneous half-infinite space is studied in the cases of one, two and three-dimensional half space. Comparison of the three cases is made. Applications of theoretically analyzed models are suggested. Errors induced by assumptions are evaluated.

Keywords

• transient and stationary thermal field
• finite element method(FEM)
• numerical inverse Laplace transform
• temperature penetration depth
• characteristic length
• thermal field localization and spread
• inverse problem