In this paper several unique concepts in transient heat conduction are discussed, including
intrinsic verification, time partitioning, and a database of solutions organized with a …

A new solution is presented for one-dimensional heat conduction with boundary heat flux
increasing as fourth power of time. Green's functions (GFs) are used and resulting slowly …

Estimation of thermal properties or diffusion properties from transient data requires that a
model is available that is physically meaningful and suitably precise. The model must also …

Heat transfer in solids provides an opportunity for students to learn of several boundary
conditions: the first kind for specified temperature, the second kind for specified heat flux …

A novel formulation for numerical solution of heat conduction problems using superposition
of exact solutions (SES) to represent temperature on sub-elements of a region is described …

Estimation of thermal properties or diffusion properties from transient data requires that a
model is available that is physically meaningful and suitably precise. The model must also …

To estimate the thermal properties from transient data, a model is needed to produce
numerical values with sufficient precision. Iterative regression or other estimation …