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One end of a poker is placed in a fire. The poker is made of steel with k = 50 W/m-oC, and it has a diameter of 0. The left end of the poker in the...

One end of a poker is placed in a fire. The poker is made of steel with k = 50 W/m-oC, and it has a diameter of 0.2 m. The left end of the poker in the fire is at a constant temperature of 350 oC. The air around the poker is at a temperature of 30 oC with h = 5 W/m2-oC. The length of the poker between the fire and the handle is 0.6 m long. Determine:
a. The temperature of the poker at the third points of the poker using three elements of equal length. Use the finite element method. You may use Mathcad to solve this problem. If you do, please show all work and add comments to the Mathcad solution to indicate your process.
b. The heat flux through element one.

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