radius at a distance R, H (e.g. for h=2, F12=1/4) from centres, with hH/R. Case View factor Plot From a small planar plate (one face or both) level with to a sphere of radius at () R, a distance from H (e.g. for h=2, F12=0.029) centres, with hH/R. Tilted Case View factor Plot For the facing surface: -if ||arccos(1/h) (i.e. plane not cutting the sphere), -if ||>arccos(1/h) (i.e. cutting the sphere), with For the plate (the two surfaces): From a small planar surface tilted to a sphere -if ||arccos(1/h) (i.e. plane not cutting the of radius at a distance sphere, hence for the back side), R, F12=0 from centres, with H the tilting angle  -if ||>arccos(1/h) (i.e. plane cutting the hH/R; is between the normal sphere), can be obtained as the F12 and the line of centres. semisum of values for the facing surface and for the opposite surface, the latter obtained as the complement angle (i.e. with → ). (e.g. for and =/3 (60º): h=1.5 for the facing side, F12=0.226 for the opposite side, and F12=0.004 for the two-side plate) F12=0.115 Patch to a spherical cap Case View factor Plot From a small planar plate facing a spherical cap (e.g. for =45º, F12=1/2) subtending a half-cone angle (or any other  Notice that the case to frontal ‘patch surface subtending the sphere’ above, can be recovered in same solid angle). our case with max=arcsin(R/H). Sphere to concentric external cylinder Case View factor Plot
radius R, at a distance H from centres, with hH/R. (e.g. for h=2, F12=1/4) Case View factor Plot From a small planar plate (one face or both) level to a sphere of radius R, at a distance H from centres, with hH/R. with () (e.g. for h=2, F12=0.029) Tilted Case View factor Plot From a small planar surface tilted to a sphere of radius R, at a distance H from centres, with hH/R; the tilting angle  is between the normal and the line of centres. For the facing surface: -if ||arccos(1/h) (i.e. plane not cutting the sphere), -if ||>arccos(1/h) (i.e. cutting the sphere), with For the plate (the two surfaces): -if ||arccos(1/h) (i.e. plane not cutting the sphere, hence F12=0 for the back side), -if ||>arccos(1/h) (i.e. plane cutting the sphere), F12 can be obtained as the semisum of values for the facing surface and for the opposite surface, the latter obtained as the complement angle (i.e. with → ). (e.g. for h=1.5 and =/3 (60º): F12=0.226 for the facing side, F12=0.004 for the opposite side, and F12=0.115 for the two-side plate) Patch to a spherical cap Case View factor Plot From a small planar plate facing a spherical cap subtending a half-cone angle  (or any other surface subtending the same solid angle). (e.g. for =45º, F12=1/2) Notice that the case ‘patch to frontal sphere’ above, can be recovered in our case with max=arcsin(R/H). Sphere to concentric external cylinder Case View factor Plot
Radiation%20View%20factors.docx