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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:  
  • a)
    Higher than critical radius of insulation​
  • b)
    Slightly lower than critical radius of insulation
  • c)
    Equal to the critical radius of insulation
  • d)
    Considerably higher than critical radius of insulation
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In order to substantially reduce leakage of heat from atmosphere intoc...
Ans. (d) At critical radius of insulation heat leakage is maximum if we add more
insulation then heat leakage will reduce.
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In order to substantially reduce leakage of heat from atmosphere intoc...
Introduction:
In a refrigerant system, it is important to reduce the leakage of heat from the atmosphere into the cold refrigerant flowing in small diameter copper tubes. Insulation is used to minimize this heat transfer. The radial thickness of insulation plays a crucial role in determining the effectiveness of insulation in reducing heat leakage.

Explanation:
1. Critical radius of insulation:
The critical radius of insulation is the radius at which the heat transfer from the outside to the inside of the insulation is maximum. Beyond this radius, increasing the thickness of insulation will not significantly reduce the heat leakage.

2. Heat transfer mechanism:
Heat transfer occurs through conduction, convection, and radiation. In the case of refrigerant systems, conduction is the primary mode of heat transfer. The heat from the atmosphere is conducted through the insulation and reaches the cold refrigerant inside the copper tubes.

3. Effect of insulation thickness:
- Higher than critical radius: If the radial thickness of insulation is higher than the critical radius, it will not significantly reduce the heat leakage. This is because the additional insulation beyond the critical radius will not significantly affect the heat transfer through conduction.
- Slightly lower than critical radius: If the radial thickness of insulation is slightly lower than the critical radius, it may reduce the heat leakage to some extent. However, it may not provide sufficient insulation and may still allow a considerable amount of heat to transfer from the atmosphere to the refrigerant.
- Equal to the critical radius: If the radial thickness of insulation is equal to the critical radius, it may provide a good balance between insulation effectiveness and practical considerations. It can minimize heat leakage to a significant extent.
- Considerably higher than critical radius: If the radial thickness of insulation is considerably higher than the critical radius, it will provide better insulation and reduce heat leakage to a greater extent. The additional insulation will create a larger temperature gradient and decrease the heat transfer through conduction.

Conclusion:
To substantially reduce the leakage of heat from the atmosphere into the cold refrigerant flowing in small diameter copper tubes in a refrigerant system, the radial thickness of insulation must be considerably higher than the critical radius of insulation. This ensures better insulation and minimizes heat transfer through conduction.
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Community Answer
In order to substantially reduce leakage of heat from atmosphere intoc...
If critical radius of insulation is less than radial thickness of pipe heat loss always reduces. As the insulation thickness increases surface area exposed for Heat transfer by conduction decreases and wall thickness also increases. This is because as the radius increases effective material increases and resistance increases. so inherently reduces heat leakage.
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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:a)Higher than critical radius of insulation​b)Slightly lower than critical radius of insulationc)Equal to the critical radius of insulationd)Considerably higher than critical radius of insulationCorrect answer is option 'D'. Can you explain this answer?
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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:a)Higher than critical radius of insulation​b)Slightly lower than critical radius of insulationc)Equal to the critical radius of insulationd)Considerably higher than critical radius of insulationCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about 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:a)Higher than critical radius of insulation​b)Slightly lower than critical radius of insulationc)Equal to the critical radius of insulationd)Considerably higher than critical radius of insulationCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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:a)Higher than critical radius of insulation​b)Slightly lower than critical radius of insulationc)Equal to the critical radius of insulationd)Considerably higher than critical radius of insulationCorrect answer is option 'D'. Can you explain this answer?.
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