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How does ThermoAnalytics software determine the radiation view factors for a model?

Determining Radiation View Factors

ThermoAnalytics software determines the radiation relationships from each element (or patch) to every other element (or patch) in the model and to the environment (bounding box or natural sky dome, terrain, and sun). To illustrate how the view factors are determined, consider two parallel plates in a simple bounding box environment. The bounding box "offsets" from the geometry do not need to be equal on all sides, so in this example the plates are not centered in the bounding box.

A hemisphere is constructed at the centroid of each side of a planar element. The planar centroid location is not affected by the part thickness (input on the Editor Tab). From this point, rays are cast outward into model space, and intersections with other elements are determined and tabulated. The image below shows a single ray being cast into space and intersecting another element, highlighted in green.

Thousands of rays are cast from each element centroid to determine the view factor to all other elements that are visible from the element centroid. The number of rays that intersect another element determines relative view factor relationship.

Above: Oblique View.
Below: Top View.


Each element has 2 faces, so this process is repeated for the back side of the element.

Above: Oblique View.
Below: Top View.

After tabulating the results of the ray tracing for one element, our software moves to the next element and repeats the process, casting rays from each side of each element and testing for intersections. Note that the accuracy of the view factors is a function of the number of rays cast from each element. This number is variable in our software and can thus provide either a speed-optimized analysis (fewer rays) or an accuracy-optimized analysis (many rays), depending on the requirements of the user.

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