F3D_73

Plate to a set of cylinders that are aligned as pillars

The procedure f3d_73 returns the view factor from a flat plate to each cylinder in an array that protrudes from the plate like a line of pillars. The cylinders are assumed to be uniformly spaced along the plate so S = L/Ncyl. The procedure can deal with up to 10 cylinders and returns 10 outputs. The view factors Fi where i is greater than the number of cylinders are set to zero.

The calling protocol is:

Call f3d_73(N_rays, N_cyl, D, L_cyl, L, W: F1, F2, F3, F4, F5, F6, F7, F8, F9, F10)

Inputs:
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)
N_cyl: number of cylinders (1 to 10)
D: diameter of cylinders (ft or m)
L_cyl: length of cylinders (ft or m)
L: length of plate (ft or m)
W: width of plate (ft or m)

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
Etc.
Note that view factors are set to zero for cylinders that are not present but outputs are still provided

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

Example:
$UnitSystem SI Mass J K Pa Radian
D=1 [m]
L=5 [m]
W=1 [m]
L_cyl=1 [m]
N_rays=1e5 [-]
N_cyl=4 [-]
Call f3d_73(N_rays, N_cyl, D, L_cyl, L, W: F1, F2, F3, F4, F5, , , , , )

{Solution:
F1=0.1015
F2=0.1245
F3=0.1273
F4=0.105
F5=0
}

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