A cylindrical pin fin of diameter 0.6 cm and length of 3 cm with negligible heat loss from the

Name: Problem 223, Chapter 3: Heat and Mass Transfer: Fundamentals and Applications
Uploaded: 2022-01-10T08:48:40-08:00
Duration: 1 min 27 s
Channel: Manik Pulyani
Description: A cylindrical pin fin of diameter 0.6 cm and length of 3 cm with negligible heat loss from the tip has an efficiency of 0.7. The effectiveness of this fin is (a) 0.3 (b) 0.7 (c) 2 (d) 8 (e) 14

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Question

A cylindrical pin fin of diameter $0.6 \mathrm{~cm}$ and length of $3 \mathrm{~cm}$ with negligible heat loss from the tip has an efficiency of 0.7. The effectiveness of this fin is (a) $0.3$ (b) $0.7$ (c) 2 (d) 8 (e) 14

   A cylindrical pin fin of diameter $0.6 \mathrm{~cm}$ and length of $3 \mathrm{~cm}$ with negligible heat loss from the tip has an efficiency of 0.7. The effectiveness of this fin is
(a) $0.3$
(b) $0.7$
(c) 2
(d) 8
(e) 14

Heat and Mass Transfer: Fundamentals and Applications

Yunus A. Cengel,… 6th Edition

Chapter 3, Problem 223

Instant Answer

Solved by Expert Manik Pulyani

01/10/2022

Step 1

Efficiency (η) is the ratio of the actual heat transfer from the fin to the maximum possible heat transfer if the entire fin were at the base temperature. Effectiveness (ε) is the ratio of the heat transfer from the fin to the heat transfer that would occur Show more…

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A cylindrical pin fin of diameter $0.6 \mathrm{~cm}$ and length of $3 \mathrm{~cm}$ with negligible heat loss from the tip has an efficiency of 0.7. The effectiveness of this fin is (a) $0.3$ (b) $0.7$ (c) 2 (d) 8 (e) 14

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Key Concepts

Fin Effectiveness

Fin effectiveness compares the heat transferred by the fin to the heat that would be transferred from the base area alone under the same conditions. It quantifies the overall advantage of adding a fin to a system by showing how much additional heat is removed compared to having no fin at all. This concept helps assess the impact of fin design on the total heat transfer improvement in convective systems.

Fin Efficiency

Fin efficiency is a measure of how effectively a fin transfers heat relative to its ideal performance. It is defined as the ratio of the actual heat transferred by the fin to the maximum possible heat transfer, assuming the entire fin is at the base temperature. This concept is critical in determining how well the fin design compensates for temperature gradients along its surface due to conduction losses.

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