F3D_68

Annular ring1 to annular ring2 with the presence of an inner cylinder

Function f3d_68(r_c,r_1,r_2,r_3,r_4,h) returns the view factor between annular rings at the ends of an inscribed cylinder, where the inner diameter of each ring can be larger than the diameter of the cylinder..

Inputs:
r_c = radius of inner cylinder [m] or [ft]
r_1 =inner radius of upper annular ring [m] or [ft]
r_2 =outer radius of upper annular ring [m] or [ft]
r_3 =inner radius of lower annular ring [m] or [ft]
r_4 =outer radius of lower annular ring [m] or [ft]
h = height of cylinder [m] of [ft]

Example:
$UnitSystem SI Mass J K Pa Radian
r_c=0.1[m]
r_1=0.2 [m]
r_2=0.3 [m]
r_3=0.4 [m]
r_4=0.5 [m]
h=0.5 [m]
F=f3d_68(r_c,r_1,r_2,r_3, r_4,h)

{Solution:
F=0.0596}

Reference:
van Antwerpen, H.J. and Greyvenstein, G.P, "Evaulation of a detailed radiation heat transfer model in a high temperature reactor systems simulations model", Nuclear Engineering and Design, Vol 238, pp. 2985-2994, (2008)