Question

You are using a silver spoon to stir water that just started boiling so that you can achieve a more even heat distribution in your water. The spoon is partially immersed in boiling water and a thermometer in your kitchen reads 27 °C. The handle of the spoon has a cross section of 2mm × 1cm and extends 15 cm in the air from the free surface of the water. The heat transfer coefficient at the exposed surfaces of the spoon handle is 3 W/m2 ×K. Part A : Determine the temperature difference across the exposed surface of the spoon handle. Follow the problem-solving guide on the front page. At the minimum, your analysis should answer the following questions providing detailed justifications:

1. What are the modes of heat transfer that the spoon is exposed to?

2. Is this a time dependent or steady state problem? Why or why not?

3. Is this a 1-D, 2-D or 3-D problem? Why or why not?

4. What is the thermal conductivity of the material? Can you assume it constant and if so, for what ranges?

5. The heat transfer coefficient is a function of many variables. Discuss the variables and whether the heat transfer coefficient can be assumed to be constant.

Answer 1

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