scholarly journals Discussion: “Radiation Heat Transfer in Semigray Enclosures With Specularly and Diffusely Reflecting Surfaces” (Bobco, R. P., 1964, ASME J. Heat Transfer, 86, pp. 123–129)

1964 ◽  
Vol 86 (1) ◽  
pp. 129-130
Author(s):  
Philip F. O’Brien
2021 ◽  
Author(s):  
Mathieu Wijnen ◽  
Jos van Schijndel ◽  
Gunes Nakiboglu

Abstract In the semiconductor industry there is an increasing demand for thermal stability to optimize the performance of lithography machines. This results in a need for computational tools that are able to accurately model radiation heat transfer, with the ability to include specular and angle dependent reflection and take the influence of the polarization into account. An analytical approximation model of a square passage is formulated, that includes angle dependent reflecting surfaces and the influence of polarization. These problems can be used as benchmarks to verify radiation modeling tools, e.g. COMSOL. The tool is validated by modeling an experiment and comparing the numerical results with the experimental data. The impact of angle dependency and polarization on the heat flux through passages is discussed.


1965 ◽  
Vol 87 (1) ◽  
pp. 103-109 ◽  
Author(s):  
E. M. Sparrow ◽  
A. Haji-Sheikh

A variational expression is devised from which the governing equations are derivable for all problems of radiant interchange between diffusely emitting and reflecting surfaces. This correspondence between the variational expression and the equations of radiant interchange serves as the basis of an approximate solution method for radiation heat transfer problems. The solution method is discussed in general and then applied to specific physical situations. It is shown that the variational method yields results with remarkable ease, especially when compared with the formidable computational task inherent in a direct numerical assault on the governing integral equations.


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