Heat Transfer Questions and Answers – Heat Flow Through Triangular and Parabolic Fins

This set of Heat Transfer quiz focuses on “Heat Flow Through Triangular And Parabolic Fins”.

1. Which fin yields the maximum heat flow per unit weight?
a) Straight triangular fin
b) Curved triangular fin
c) Parabolic fin
d) Hyperbolic fin
View Answer

Answer: a
Explanation: In straight triangular fin, there is maximum heat flow.

2. Heat dissipation by every segment of the fin is
a) Sometimes same
b) Same
c) Not same
d) Sometimes same or sometimes not same
View Answer

Answer: c
Explanation: It is always different as fins are not uniform with respect to cross-sectional area.

3. “If a fin of a constant cross section is used, there would be wastage of material”. Chose the correct option
a) True
b) False
View Answer

Answer: a
Explanation: Cross section must vary to utilize the material.
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4. Which one is true regarding parabolic fin?
a) It dissipates the minimum amount of heat at a minimum material cost
b) It dissipates the minimum amount of heat at a maximum material cost
c) It dissipates the maximum amount of heat at a maximum material cost
d) It dissipates the maximum amount of heat at a minimum material cost
View Answer

Answer: d
Explanation: In this case, a parabolic fin is of great practical importance.

5. For parabolic fin, the curve follows which law?
a) y = C/x2
b) y = C x4
c) y = C x2
d) y = C x1/2
View Answer

Answer: c
Explanation: Equation of parabola is y = 4 x2 or x = 4 y2.
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6. The correction length for cylindrical fin is
a) L C = L + d/4
b) L C = 2 L + d/4
c) L C = 3 L + d/4
d) L C = 4 L + d/4
View Answer

Answer: a
Explanation: Area = π d2/4. Where, d is the diameter.

7. Provision of fins on a given heat transfer surface will be more effective if there is
a) Fewer but thick fins
b) Large number of thick fins
c) Fewer but thin fins
d) Large number of thin fins
View Answer

Answer: d
Explanation: Increase in ratio of perimeter P to be cross sectional area A C brings about improvement in the effectiveness of fins.
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8. The heat dissipation at any section of parabolic fin is given by
a) (t2 – t1) (b) (δ)
b) k (t2 – t1) (b) (δ)
c) k (t2 – t1) (δ)
d) k (t2 – t1) (b)
View Answer

Answer: b
Explanation: Q = qx (A X) = k (t2 – t1) (b) (δ).

9. An air cooled cylindrical wall is to be fitted with triangular fins of 3 cm thickness at base and 12 cm in height. The fins are made from stainless steel with density 8000 kg/m3 and thermal conductivity 17.5 W/m K. The wall temperature is 600 degree Celsius and the fin is exposed to an environment with t a = 30 degree Celsius and h = 20 W/m2 K. What is the temperature distribution along the fin?
a) t = 10 + 250 I 0 [6.056 (x) 1/2].
b) t = 20 + 250 I 0 [6.056 (x) 1/2].
c) t = 30 + 250 I 0 [6.056 (x) 1/2].
d) t = 40 + 250 I 0 [6.056 (x) 1/2].
View Answer

Answer: c
Explanation: α/α 0 = t – t 0/t 0 – t a = I 0 [2 B (x) ½]/ I 0 [2 B (l) ½]. Here B = (2 h l/k δ) ½ = 3.028.
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10. Consider the above problem, make calculations for the rate of heat flow per unit mass of fin material used
a) 126.53 W/kg
b) 154.76 W/kg
c) 134.87 W/kg
d) 165.46 W/kg
View Answer

Answer: a
Explanation: Q = b (2 h k δ) ½ α 0 I 1 [2 B (L) ½/ I 0 [2 B (L) ½ = 1822 W. Mass of fin per meter width = 14.4 kg. Therefore rate of heat flow per unit mass = 1822/14.4 = 126.53 W/kg.

Sanfoundry Global Education & Learning Series – Heat Transfer.

To practice all areas of Heat Transfer for quizzes, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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