Fin efficiency is defined as the ratio of the heat transferred across ...
Fin efficiency is a measure of how effectively a fin transfers heat from a base surface to the surrounding fluid. It is defined as the ratio of the actual heat transferred across the fin surface to the theoretical heat transfer across an equal area.
The correct answer for the definition of fin efficiency is option 'D', which states that none of the given options are correct. Let's discuss why this is the case and why the other options are incorrect:
a) Temperature of fin end:
- This option assumes that the temperature at the end of the fin is used to calculate the fin efficiency. However, fin efficiency is not dependent on the temperature at a specific point on the fin, but rather on the overall temperature distribution along the fin.
b) Constant temperature equal to that of base:
- This option assumes that the fin is at a constant temperature equal to that of the base surface. While this may be true in some cases, it is not a general condition for all fins. Fin efficiency takes into account the temperature difference between the fin and the surrounding fluid, which can vary along the length of the fin.
c) Average temperature of fin:
- This option suggests that the average temperature of the fin is used to calculate the fin efficiency. However, the temperature distribution along the fin is not uniform, and using the average temperature would not accurately represent the heat transfer characteristics of the fin.
The correct definition of fin efficiency is based on the overall heat transfer across the fin surface, taking into account the temperature distribution along the fin. It is calculated by dividing the actual heat transferred across the fin surface by the theoretical heat transfer across an equal area. The theoretical heat transfer is calculated based on the assumption of a fully insulated fin, where the entire fin surface is at the base temperature.
In conclusion, the correct definition of fin efficiency is not based on the temperature of the fin end, a constant temperature equal to that of the base, or the average temperature of the fin. It is a measure of how effectively a fin transfers heat and is calculated based on the overall heat transfer across the fin surface.
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