F3D_71

Plate to a set of cylinders that are aligned parallel normal

The procedure f3d_71 returns the view factor from a flat plate to each of 5 cylinders that are stacked on top of one another - as shown. The calling protocol is:

Call f3d_71(D, L, W, S, N_rays: F1, F2, F3, F4, F5)

Inputs:
D: diameter of cylinders (ft or m)
L: length of cylinders and plate (ft or m)
W: width of plate (ft or m)
S: center-to-center distance between cylinders; note cylinder 1 is assumed to be S/2 away from plate (ft or m)
N_rays: number of rays to use in Monte Carlo simulation; note that a negative number will result in the default number of rays being used (1x105)

Outputs:
F1: view factor from plate to cylinder 1 (see figure)
F2: view factor from plate to cylinder 2
F3: view factor from plate to cylinder 3
F4: view factor from plate to cylinder 4
F5: view factor from plate to cylinder 5

Example:
$UnitSystem SI Mass J K Pa Radian
D=1 [m]
L=10 [m]
W=4 [m]
S=1.2 [m]
N_rays=2e4
Call f3d_71(D, L, W, S, N_rays: F1, F2, F3, F4, F5)

{Solution:
F1=0.3176
F2=0.08515
F3=0.0345
F4=0.0169
F5=0.00995
}

Reference:
Brennan Fentzlaff M.S. thesis at the University of Wisconsin, to be published in 2016.