View factor for inclined plane with Gaussian source

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The view factor (angle factor) for a differential inclined plane in the case of a radiating source of radially Gaussian intensity is considered. This information is useful for modelling of solar radiation in certain applications. The view factor is expressed in terms of two integrals, one of which is obtained in closed form in terms of special functions, and the other is approximated. A compact estimate for the view factor is presented which is suitable for machine computation. While the relative error associated with the final estimate is typically less than 0.01%, and in all cases, less than 0.2%, the method is easily extended to yield even greater accuracy. © 2004 Elsevier Inc. All rights reserved.




Sugden, S. J. (2004). View factor for inclined plane with Gaussian source. Applied Mathematical Modelling, 28(12), 1063–1082.

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