Consider the radiation heat exchange inside an annulus between two very long concentric cylinders. The radius of the outer cylinder is R0 and that of the inner cylinder is Ri. The radiation view factor of the outer cylinder onto itself is

1
\(1 - \sqrt {\frac{{{R_i}}}{{{R_0}}}}\)
2
\(\sqrt {1 - \frac{{{R_i}}}{{{R_0}}}}\)
3
\(1 - {\left( {\frac{{{R_i}}}{{{R_0}}}} \right)^{1/3}}\)
4
\(1 - \frac{{{R_i}}}{{{R_0}}}\)

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