File:Nusselt analog.svg

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English: This diagram depicts the Nusselt analog, or equivalently the projected solid angle, a geometrical way of visualising the view factor (or form factor) which arises in calculations of radiative heat transfer in physics and engineering, and in the radiosity method in 3D computer graphics.

Mathematically, the form factor for energy from an element Aj with a normal vector nj arriving at a point on an element Ai with a normal vector ni is given by:

The Nusselt analog pictures this geometrical factor as equivalent to projecting the area of the element onto the surface of a unit hemisphere (giving the solid angle), and then projecting that in turn onto a unit circle around the point of interest in the plane of Ai. The form factor is equal to the proportion of the unit circle covered by this projection.

See eg: Cohen, M.F., Greenberg, D.P. (1985). The hemi-cube: a radiosity solution for complex environments. Computer Graphics (Proceedings of SIGGRAPH 1985) 19 (3), 31–40. doi:10.1145/325165.325171), figure 3.
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Author Jheald

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21 July 2011

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Date/TimeThumbnailDimensionsUserComment
current14:55, 21 July 2011Thumbnail for version as of 14:55, 21 July 2011629 × 488 (12 KB)Jhealdtweaks -- don't know why WP is rendering the arrowhead in the wrong direction (WP/Inkscape problem?)
14:55, 21 July 2011Thumbnail for version as of 14:55, 21 July 2011629 × 488 (12 KB)Jhealdtweaks -- don't know why WP is rendering the arrowhead in the wrong direction (WP/Inkscape problem?)
14:51, 21 July 2011Thumbnail for version as of 14:51, 21 July 2011629 × 488 (12 KB)JhealdAdd identifiers n_i, n_j, A_j
14:21, 21 July 2011Thumbnail for version as of 14:21, 21 July 2011629 × 488 (7 KB)Jheald

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