File:Nusselt analog.svg

From formulasearchengine
Jump to navigation Jump to search

Original file(SVG file, nominally 629 × 488 pixels, file size: 12 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description
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.
Date
Source Own work
Author Jheald

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

21 July 2011

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current16:55, 21 July 2011Thumbnail for version as of 16:55, 21 July 2011629 × 488 (12 KB)wikimediacommons>Jhealdtweaks -- don't know why WP is rendering the arrowhead in the wrong direction (WP/Inkscape problem?)

There are no pages that use this file.