An electrical cabinet in your research lab is overheating due to proximity of the cabinet to an airfurnace. The outside of the cabinet has been observed to heat to T > 200 ᵒC. A fin array is needed to...

An electrical cabinet in your research lab is overheating due to proximity of the cabinet to an airfurnace. The outside of the cabinet has been observed to heat to T > 200 ᵒC. A fin array is needed to maintain T=200 ᵒC. Each fin will be a cylindrical pin fin of 5 mm diameter and 50 mm length. You have been tasked with designing a pin-fin array that is connected to the most sensitive components within a 50 mm x 50mm square footprint. The pin array is exposed to environmental conditions of T = 25 ᵒC and a constant h = 100 W/m2 -K. Your supervisor has suggested you use Cu (k ~ 393 W/m-K) for all materials. You are tasked with providing a short technical summary about your suggestions on the steady-state design. Develop a pseudo one-dimensional computational heat transfer model using the finite difference method to model steady-state heat transfer within the pin fin in MATLAB.This needs two be for two different types of discreziations. First, deltax = 2mm, creating a matrix of 26. Then deltax = 1.25 mm, creating a matrix of 41