Radiation view factors To commemorate your time in ME564, you decide to buy a decorative Bucky lamp, which consists of a

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Radiation View Factors To Commemorate Your Time In Me564 You Decide To Buy A Decorative Bucky Lamp Which Consists Of A 1 (58.79 KiB) Viewed 67 times

Radiation View Factors To Commemorate Your Time In Me564 You Decide To Buy A Decorative Bucky Lamp Which Consists Of A 2 (27.45 KiB) Viewed 67 times

Radiation view factors To commemorate your time in ME564, you decide to buy a decorative Bucky lamp, which consists of a circular light source on the top face of an enclosed cylinder, a cylindrical wall, and a circular base with a cutout in the shape of your favorite mascot. When turned on, a portion of the light projects through the cutout. The lamp is of height h = 0.3 [m] and radius R = 0.15 [m]. The cutout of Bucky is defined using a complex polygonal shape, with coordinates in units of m given in the included file "bucky.txt." The coordinate system for this polygon specifies that the origin coincides with the center point (radius equals zero) of the base surface. Note that there is also a starter file that gives an example of how to read in the file into a matrix in Matlab. Light source R Cylindrical side h Base Cut-out Your task is to complete a view factor matrix for the surfaces in the problem using a combination of rules, libraries, and/or Monte Carlo ray tracing. You will need to write a ray tracing program to compute the view factors from the light to the Bucky cutout, and also from the cylindrical shell to the cutout. A function is provided in the homework folder on Canvas that determines whether a given point lies within an arbitrary polygon, assuming both the point and the polygon lie entirely in the same plane. You may assume all surfaces in the problem are black.
a.) Complete the following view factor matrix. Develop a Monte Carlo program in Matlab (or Python, if you prefer) that computes unknown view factors and attach your code to the submission. Fij j=1 j=2 j=3 i=1 i=2 4 b.) Demonstrate that your answer has converged with respect to the number of rays used in the simulation. c.) Estimate the uncertainty of your view factor calculation between the light source and the Bucky cutout. Report the number of rays you're using to make this calculation.