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Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  GATE Mechanical (ME) Mock Test Series 2025  >  Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Mechanical Engineering MCQ

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Mechanical Engineering MCQ


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15 Questions MCQ Test GATE Mechanical (ME) Mock Test Series 2025 - Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) Mock Test Series 2025 preparation. The Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 below.
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Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 1
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A steel steam pipe 10 cm inner diameter and 11 cm outer diameter is covered with insulation having the thermal conductivity of 1 W/mK. If the convective heat transfer coefficient between the surface of insulation and the surrounding air is 8 W / m2K, then critical radius of insulation is:  

Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 1

Ans. (c) Critical radius of insulation (rc) =
= 12.5cm

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 2
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For a current wire of 20 mm diameter exposed to air (h = 20 W/m2K),maximum heat dissipation occurs when thickness of insulation (k = 0.5W/mK) is:  

Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 2

Ans. (b) Maximum heat dissipation occurs when thickness of insulation is critical.
Critical radius of insulation

= 25mm

Therefore thickness of insulation = = 15 mm

 

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Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 3
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Upto the critical radius of insulation: 

Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 3

Ans. (a)

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 4
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The value of thermal conductivity of thermal insulation applied to ahollow spherical vessel containing very hot material is 0·5 W/mK. The convective heat transfer coefficient at the outer surface of insulation is10 W/m2K.What is the critical radius of the sphere?  
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 4

Ans. (a) Minimum q at ro =
(k/h) = rcr (critical radius)

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 5
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A metal rod of 2 cm diameter has a conductivity of 40W/mK, which is tobe insulated with an insulating material of conductivity of 0.1 W/m K. Ifthe convective heat transfer coefficient with the ambient atmosphere is5 W/m2K, the critical thickness of insulation will be:  
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 5

Ans. (a) Critical radius of insulation (rc) =
= 0.02m = 2cm

Critical thickness of insulation (t) =rc - r1 = 2 - 1 = 1cm

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 6
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In order to substantially reduce leakage of heat from atmosphere intocold refrigerant flowing in small diameter copper tubes in a refrigerant system, the radial thickness of insulation, cylindrically wrapped around the tubes, must be:  
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 6

Ans. (d) At critical radius of insulation heat leakage is maximum if we add more
insulation then heat leakage will reduce.

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 7
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In a long cylindrical rod of radius R and a surface heat flux of qo the uniform internal heat generation rate is:  
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 7

The temperature distribution in a solid cylinder of radius R with uniform internal heat generation is given by

where,
Tw = temperature at the outer radius (R),

qs = uniform heat generation,
k = thermal conductivity
T = Temperature at radius r
At steady state, heat going out of the cylinder by conduction is absorbed by the atmosphere through convection whose temperature is T∞ (Tw > T∞).

Heat conducted

Heat convected

At steady state heat conducted is equal to heat convected

Given Heat flux is q0

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 8
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A plane wall of thickness 2L has a uniform volumetric heat source q* (W/m3). It is exposed to local ambient temperature T∞ at both the ends (x = ± L). The surface temperature Ts of the wall under steady-state
condition (where h and k have their usual meanings) is given by:  
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 8

Ans. (a)

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 9
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A steam pipe is to be lined with two layers of insulating materials of different thermal conductivities. For minimum heat transfer
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 9

Ans. (a) For minimum heat transfer, the better insulation must be put inside.

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 10
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An electric cable of aluminium conductor (k = 240 W/mK) is to be insulated with rubber (k = 0.15 W/mK). The cable is to be located in air (h = 6 W/m2). The critical thickness of insulation will be
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 10

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 11
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Assertion (A): Addition of insulation to the inside surface of a pipealways reduces heat transfer rate and critical radius concept has nosignificance.  
Reason (R): If insulation is added to the inside surface, both surfaceresistance and internal resistance increase.
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 11

Ans. (a) A and R are correct. R is right reason for A.

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 12
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It is desired to increase the heat dissipation rate over the surface of anelectronic device of spherical shape of 5 mm radius exposed toconvection with h = 10 W/m2K by encasing it in a spherical sheath ofconductivity 0.04 W/mK, For maximum heat flow, the diameter of thesheath should be:  
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 12

Ans. (b) The critical radius of insulation for ensuring maximum heat transfer by
conduction (r) =
 = 8mm.

Therefore diameter should be 16 mm.

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 13
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From a metallic wall at 100°C, a metallic rod protrudes to the ambientair. The temperatures at the tip will be minimum when the rod is made of: 
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 13

Ans. (b)

Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 14
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Usually fins are provided to increase the rate of heat transfer. But finsalso act as insulation. Which one of the following non-dimensional numbers decides this factor? 
Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 15
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Which one of the following is correct?  
Fins are used to increase the heat transfer from a surface by
Detailed Solution for Test: Critical Thickness of Insulation & Heat Transfer From Extended Surfaces (Fins) - 1 - Question 15

Ans. (b)

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