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Lumped parameter analysis of transient heat conduction in solid stipulates
1. infinite thermal conductivity.
2. negligible temperature gradient i.e., practically uniform temperature within the solid.
3. small conduction resistance.
4. predominance of convective resistance
Which of the above statements are valid ?
  • a)
    1, 3 and 4
  • b)
    1, 2 and 4
  • c)
    2, 3 and 4
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Lumped parameter analysis of transient heat conduction in solid stipul...
Explanation:

Infinite thermal conductivity:
- In lumped parameter analysis, it is assumed that the solid has infinite thermal conductivity. This assumption allows for instantaneous heat transfer throughout the solid without any resistance due to conductivity.

Negligible temperature gradient:
- The assumption of negligible temperature gradient implies that the temperature within the solid is practically uniform. This assumption simplifies the analysis and allows for the use of lumped parameter models.

Small conduction resistance:
- The assumption of small conduction resistance suggests that the resistance to heat transfer within the solid is minimal. This assumption is consistent with the idea of lumped parameter analysis, where the focus is on the overall behavior of the system rather than detailed temperature distribution.

Predominance of convective resistance:
- In lumped parameter analysis, convective resistance is assumed to dominate over conductive resistance. This assumption is based on the idea that heat transfer to the surroundings through convection is the primary mode of heat dissipation in the system.
Therefore, all of the above statements are valid in the context of lumped parameter analysis of transient heat conduction in a solid. These assumptions help simplify the analysis and provide a useful framework for understanding the behavior of the system.
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