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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=0.2247}

 

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.