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1. Create a program that will solve the two-dimensional temperature distribution of the fin for elapsed times of 3, 30, and 300 s, and h = 400, 4000 and 40000 W/m2K (a total of 9 configurations). Also find the steady state temperature distribution for all 3 h values and the amount of time it takes to reach that state (in seconds). Use a grid size of 0.25 cm. Present your temperature data using contour plots and line graphs.
a. Compare your centerline steady state data to the temperature profiles created using the fin theory in chapter 3. For each h value case, what type of fin best models your data? Explain why.
b. Use your program to calculate the amount of heat lost (NOT the rate) by the fin in each transient and steady state case, and present that data in a table.
c. Use your program to calculate the steady state heat transfer rate of the fin in each case. Compare these values to the predicted values using fin theory