ABSTRACT
The temperature in a solid material changes with location as well as with time, and this is the so-called transient heat conduction problem. One may have one-dimensional, two-dimensional, or three-dimensional transient heat conduction problem depending on the real applications. However, some problems can be modeled as zero-dimensional (0-D) because the temperature in a solid material uniformly changes only with time and does not depend on location. In real applications, many transient heat conductions in a solid material can be modeled as a 0-D problem. The important assumption is that the entire material temperature changes only with time. The semiinfinite solid is characterized by a single identifiable surface. If a sudden change in temperature occurs at this surface, then transient one-dimensional conduction will take place within the solid. Ablating heat shields have been successful in satellite and missile reentry to the earth’s atmosphere as a means of protecting the surface from aerodynamic heating.
