A method to determine the unknown thermal conductivity k of a material uses two infinitely long...

 

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A method to determine the unknown thermal conductivity k of a material uses two infinitely long fins. Each fin has a square cross-sectional area, with a side length 3 mm. One fin is made of aluminum, with ka = 200 W/mK. The other fin is made of the material with an unknown k value. Both fins are attached (separately) to a base that has a fixed temperature Tb = 1000C. The fins are both exposed to ambient fluid at T* = 250C and h = 5 W/m2K. It is found that at the same value x along the fins, the aluminum fin has a temperature of 750C, while the fin of unknown k value has a temperature of 600C. Find the unknown k value. HINT: Find 'x' for the aluminum fin first, then address the unknown fin. A method to determine the unknown thermal conductivity k of a material uses two infinitely long fins. Each fin has a square cross-sectional area, with a side length 3 mm. One fin is made of aluminum, with ka = 200 W/mK. The other fin is made of the material with an unknown k value. Both fins are attached (separately) to a base that has a fixed temperature Tb = 1000C. The fins are both exposed to ambient fluid at T* = 250C and h = 5 W/m2K. It is found that at the same value x along the fins, the aluminum fin has a temperature of 750C, while the fin of unknown k value has a temperature of 600C. Find the unknown k value. HINT: Find 'x' for the aluminum fin first, then address the unknown fin.

Answer rating: 100% (QA)

Here are the steps 1 For the aluminum fin We have ka 200 WmK Tb 100C T 25C h 5 Wm2K Crosssectional ... View the full answer