A straight fin of uniform cross section is fabricated from a material of thermal conductivity k = 5 W/m*K, thickness w = 20 mm and lengh L = 200 mm. The fin is very long in the direction normal to the page. The base of the fin is maintained at Tb = 200 degrees C, and the tip conditions allow for convection with h = 500 W/m2*K and Tinfinity = 25 degrees C.
Use a Finite difference solution with DX= 10 mm and DY = 2.5 mm. Draw a schematic and label the node numbers. Draw CV and show each FD for each node type. Show the system of equations in matrix form. Give a numerical solution then make a temperature contour plot and calculate the heat flux.