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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 = 0.3090, F2 = 0.0861, F3 = 0.03555, F4 = 0.0167, F4 = 0.0102}

 

Reference: 

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