Aplicación de la integración de contorno para el cálculo del factor de visión entre dos superficies rectangulares arbitrarias

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Abstract

View factor calculation is a key point in the radiation heat transfer between surfaces. In engineering
it is required to compute the view factor between complex geometries, which include various
perpendicular and inclined surfaces. Currently there are no analytical expressions available for this
purpose, so the use of summation and reciprocity rules (SR) is required, but when complex
geometries are analyzed, handling SR is extremely laborious. Therefore, this work aims to develop
an equation for the view factor calculation in radiative heat transfer of two arbitrary inclined or
parallel rectangular surfaces, by means of the benefits provided by vector calculus. The exact
solutions obtained with contour integration were compared with the values calculated from algebra
factor (AF) using the Hottel's and Hamilton-Morgan's solution and with the results computed from
the numerical integration of the quadruple integral using Simpson's rule 1/3 with five intervals. The
lack of similar precedents in the technical literature reinforces the practical and scientific nature of
the proposed method of analysis.