From a sphere (1) to interior surface of a concentric cylinder (2) of radius and height 2H, R Sphere radius, hH/R. (e.g. for H=R, i.e. =1, h F12=0.707) is irrelevant but Rsph, must be RsphH. Disc to frontal sphere Case View factor Plot From a disc of radius R1 to a frontal sphere of radius at a distance R2 H between centres (it must (e.g. for h=r2=1, F12=0.586) be with H>R1), hH/R1 and r2R2/R1. From a sphere of radius to a frontal disc of R1 radius at a distance R2 H between centres (it must be but does not (e.g. for and H>R1, R2=H R1≤H, F12=0.146) depend on with R1), hH/R2. Cylinder to large sphere Case View factor Plot Coaxial (=0): From a small cylinder with (external lateral area Perpendicular (=/2): only), at an altitude and tilted an angle H=hR with elliptic integrals E(x). to a large sphere of , radius is between Tilted cylinder:  R, the cylinder axis and the line of centres). with (e.g. for and any , h=1 F12=1/2) Cylinder to its hemispherical closing cap Case View factor Plot From a finite cylinder , (surface 1) of radius , , , R and height to its , , H, hemispherical closing cap (surface 2), with with Let surface 3 be r=R/H. the base, and surface 4 (e.g. for R=H, F11=0.38, F12=0.31, the virtual base of the F21=0.31, F22=0.50, F23=0.19, hemisphere. F31=0.62, F32=0.38, F34=0.38)
From a sphere (1) to interior surface of a concentric cylinder (2) of radius R and height 2H, hH/R. Sphere radius, Rsph, is irrelevant but must be RsphH. (e.g. for H=R, i.e. h =1, F12=0.707) Disc to frontal sphere Case View factor Plot From a disc of radius R1 to a frontal sphere of radius R2 at a distance H between centres (it must be H>R1), with hH/R1 and r2R2/R1. (e.g. for h=r2=1, F12=0.586) From a sphere of radius R1 to a frontal disc of radius R2 at a distance H between centres (it must be H>R1, but does not depend on R1), with hH/R2. (e.g. for R2=H and R1≤H, F12=0.146) Cylinder to large sphere Case View factor Plot From a small cylinder (external lateral area only), at an altitude H=hR and tilted an angle , to a large sphere of radius R,  is between the cylinder axis and the line of centres). Coaxial (=0): with Perpendicular (=/2): with elliptic integrals E(x). Tilted cylinder: with (e.g. for h=1 and any , F12=1/2) Cylinder to its hemispherical closing cap Case View factor Plot From a finite cylinder (surface 1) of radius R and height H, to its hemispherical closing cap (surface 2), with r=R/H. Let surface 3 be the base, and surface 4 the virtual base of the hemisphere. , , , , , , with (e.g. for R=H, F11=0.38, F12=0.31, F21=0.31, F22=0.50, F23=0.19, F31=0.62, F32=0.38, F34=0.38)
Radiation%20View%20factors.docx