A Three-dimensional Analogue of the Hottel String Construction for Radiation Transfer

The rate of radiation transfer from a diffusely emitting source to a black absorber can be expressed simply as a double line integral involving certain geodesic strings. These strings are imagined as being stretched tautly between points on the source and points on the absorber, wrapping around the...

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Bibliographic Details
Published inOptica acta Vol. 32; no. 1; pp. 39 - 60
Main Author Derrick, G.H.
Format Journal Article
LanguageEnglish
Published London Taylor & Francis Group 01.01.1985
Taylor & Francis
Subjects
Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Blackbody
Heat radiation
Absorber
Wave scattering
Transmitter
Double integral
Radiation source
Radiative transfer
Form factor
Calculating method
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Summary:The rate of radiation transfer from a diffusely emitting source to a black absorber can be expressed simply as a double line integral involving certain geodesic strings. These strings are imagined as being stretched tautly between points on the source and points on the absorber, wrapping around the outside of any interposed obstacles. The prescription derived here is a close analogue in three dimensions of the Hottel crossed string construction used to calculate rates of radiation transfer in two-dimensional systems.
ISSN:0030-3909
DOI:10.1080/713821637