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Concentric cylinders

Function f3d_4(r_1, r_2, w) calculates a radiation view factor between two concentric cylinders of the same finite length.  f3d_4 is the view factor from the smaller of two concentric cylinders (1) to the larger cylinder (2).  
Inputs:
r_1- radius of the smaller cylinder   [m or ft]
r_2 - radius of the larger cylinder [m or ft]
w - length of the cylinders  [m or ft]
Example:  
$UnitSystem SI K Pa J deg
r_1=0.1 [m]
r_2=0.2 [m]
w=0.5 [m]
F=f3d_4(r_1, r_2, w)
{Solution: 
F=0.8589  }
Reference:  Siegel and Howell, Thermal radiation heat transfer, 4th edition, p.847.
View Factor Index