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Cylinder to flat annular ring below the base



Function f3d_67(r_c,r_1,r_2,h_1,h_2)  returns the view factor between a cylinder outer surface and a flat annulary ring around and offset from the base of the cylinder

Inputs:
r_c = radius of inner cylinder [m] or [ft]
r_1 = inner radius of annular ring [m] or [ft]
r_2 = outer radius of annular ring [m] or [ft]
h_1 = height of the cylinder [m] of [ft]
h_2 = distance from right to the top of cylinder [m] of [ft]

Example: 
$UnitSystem SI Mass J K Pa Radian
r_c=0.1[m]
r_1=0.15 [m]
r_2=0.5 [m]
h_1=0.1 [m]
h_2=0.4 [m]
F=f3d_67(r_c,r_1,r_2,h_1, h_2)

{Solution
F=0.1213}

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)