Understanding view factors

The view factor VFij from element i to element j is defined as the fraction of the radiation emitted by i that arrives at j without any intermediate diffuse reflections (but including specular reflections and transmissions), assuming perfectly diffuse and uniform emission in all directions. View factors are sub-classified into ray-traced and non-ray-traced view factors. Sometimes view factors are referred to as black body view factors (BBVF).

The non-ray-traced view factor is the view factor between the two elements if no specular reflection or transmission occurs. It depends solely upon the geometrical relationship between the two elements and the shadowing elements between them.

The ray-traced view factor is the view factor that also accounts for all specular reflections or transmissions between the two elements.

A heat flux view factor is a view factor to a diffuse radiative heat source of arbitrary shape.

An important view factor property is reciprocity:

  • VFij, VFji are the view factors from i to j and from j to i.
  • Ai, Aj are the areas of elements i and j.