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Sector of circular disk to sector of parallel circular disk



Function f3d_77 returns the view factor between a sector of a disk and a sector of a parallel disk.  The angle and radii of the sectors can be different.

The calling protocol is:

F=f3d_77(N_rays, r1, r2, h, beta, alpha)

Inputs:
N_rays: number of rays for Monte Carlo simulation (<0 leads to use of default value, 1e6)
r1: radius of disk 1 (ft or m)
r2: radius of disk 2 (ft or m)
h: distance between disks (ft or m)
beta: angle (deg or rad)
alpha: angle (deg or rad)

Example: 
$UnitSystem Radian SI
r1=1.5 [m]
r2=2 [m]
h=1 [m]
beta=pi/2
alpha=pi
N_rays=10000
F=f3d_77(N_rays, r1, r2, h, beta, alpha)

{Solution:
F=0.5186}

Reference
Monte-Carlo procedure programmed by Greg Nellis, Mechanical Engineering Department, University of Wisconsin, Madison, May, 2015