GATE ME 2017 Set 2 — Question 18
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Heat Transfer → Conduction → Heat Transfer Through Fins
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Question
The heat loss from a fin is . The effectiveness and efficiency of the fin are and , respectively. The heat loss (in W) from the fin, keeping the entire fin surface at base temperature, is ___________
Correct answer
7.9 to 8.1
Solution
Given:
Heat loss from the fin,
Effectiveness of the fin,
Efficiency of the fin, Fin efficiency () is defined as the ratio of the actual heat transfer rate from the fin to the maximum possible heat transfer rate if the entire fin surface were maintained at the base temperature ():Rearranging to find :The question asks for the heat loss from the fin when the entire fin surface is at the base temperature, which corresponds to .Therefore, the heat loss is .
Heat loss from the fin,
Effectiveness of the fin,
Efficiency of the fin, Fin efficiency () is defined as the ratio of the actual heat transfer rate from the fin to the maximum possible heat transfer rate if the entire fin surface were maintained at the base temperature ():Rearranging to find :The question asks for the heat loss from the fin when the entire fin surface is at the base temperature, which corresponds to .Therefore, the heat loss is .
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