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Finite rectangular plane to finite smaller cylinder



Function f3d_31(w,h,d,k,s,N) returns the view factor from a rectangular plane (surface 1) to a finite cylinder (surface 2) that is parallel to the rectangle but shorter than the length of the rectangle.  Surface 2 includes the entire cylinder area, including the ends.

Inputs:
w = width of the rectangle [m or ft]
h  = length of the rectangle [m or ft]
d= diameter of the cylinder [m or ft]
k = length of the cylinder [m or ft]
s = distance between the cylinder axis and the rectange [m or ft]


Example:  
$UnitSystem SI K Pa J rad
w=0.50 [m]
h=1.00 [m]
d=0.10 [m]
k=1.00 [m]
s=0.10 [m]
N=100000
F=f3d_31(w,h,d,k,s,N)

{Solution: 
F=0.221}


Notes:

This routine is similar to f3d_15 which provides the same information for a cylinder that is the same length as the rectangle.  

This routine uses a Monte Carlo technique to calculate the view factor.  

The view factor algorithm was contributed by Jacob Brenner.