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Usually fins are provided to increase the rate of heat transfer but fin also acts as insulation which one of the following non-dimensional number decides this factor
  • a)
    Eckert number
  • b)
    Biot number
  • c)
    Fourier number
  • d)
    Peclet number
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Usually fins are provided to increase the rate of heat transfer but fi...
Explanation:

Biot Number:
The Biot number is a dimensionless number used in heat transfer calculations. It relates the rate of heat transfer within a solid to the resistance to heat transfer at the surface of the solid. In the context of fins, the Biot number is crucial in determining the balance between heat transfer enhancement and insulation effects.

Insulation Effect of Fins:
- Fins are used to increase the rate of heat transfer by increasing the surface area for convection or radiation.
- However, fins also act as insulation due to the additional material that needs to be heated or cooled.

Role of Biot Number:
- A high Biot number indicates that the resistance to heat transfer at the surface is significant compared to the resistance within the solid.
- In the case of fins, a high Biot number suggests that the insulation effect of the fin is more dominant, limiting the effectiveness of the fin in enhancing heat transfer.
- Conversely, a low Biot number indicates that the resistance within the solid is significant, leading to better heat transfer enhancement with the use of fins.

Conclusion:
In the context of fins, the Biot number plays a crucial role in determining whether the fin will primarily act as a heat transfer enhancer or an insulator. By considering the Biot number, engineers can optimize the design of fins for efficient heat transfer applications.
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