TAI Software Validation Examples

This section provides specific examples that correlate theoretical problem solutions to the solvers incorporated into RadTherm, WinTherm, and MuSES. Much other validation work has been performed beyond the examples below, such as the use of thermal imaging equipment to verify models. Unless noted, these tests were run in all three software packages to validate each individual solver.

Validation Examples

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Steady-State Two Dimension Plate Conduction

The cross-sectional heat flow of an insulated pipe provides an excellent evaluation of the TAI conduction solver. The cross section can be represented as a two-dimensional symmetric model. Symmetry can be used since the temperatures are isothermal along the direction of curvature.

Dynamic One Dimension Plate Conduction

A mild steel bar 100mm long is initially heated to 100°C steady state. At time>0 the ends of the bar are changed to a constant 20°C. This problem is a one-dimensional dynamic conduction problem.

Steady-State Variable Thickness Fin

The fin is created as a flat plate. Boundary conditions were applied by holding strips of elements at the two ends at constant temperatures. The solution was converged its maximum. The theoretical and TAI results are very closely matched.

Radiation Exchange Between Concentric Cylinders

We have a simple model of 2 concentric cylinders. The model contains three thermal nodes, one of which is a constant temperature boundary node. The TAI-obtained temperature of the outer cylinder was 442.72°C, which is extremely close to the 442.71°C analytical.

Transparent Element Validation 1

Solar energy is applied to two parallel plates of glass separated by a small distance. The goal is to determine the fraction of heat transferred to the plates and to the environment. The relative error between RadTherm and the analytical solution is insignificant.

Transparent Element Validation 2

This problem is similar to the previous validation, except there is one plate of glass above another surface with a given absorptivity. We determine the fraction of energy absorbed by the second glass surface ("collector"). The relative error between RadTherm and the analytical solution is insignificant: 0.00004%.

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