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The value of Biot number is very small (less than 0.01),when
[2002]
  • a)
    The convective resistance of fluid is negligible
  • b)
    The conductive resistance of fluid is negligible
  • c)
    The conductive resistance of solid is negligible
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The value of Biot number is very small (less than 0.01),when[2002]a)Th...
When conductive resistance of solid is negligible, then biot number is very small.
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The value of Biot number is very small (less than 0.01),when[2002]a)Th...
The Biot number is a dimensionless number that represents the ratio of the internal thermal resistance to the external thermal resistance of a solid undergoing heat transfer. It is defined as the product of the convective heat transfer coefficient and the characteristic length of the solid, divided by the thermal conductivity of the solid.

In this question, we are given that the value of the Biot number is very small, less than 0.01. We need to determine which condition is satisfied when the Biot number is small.

a) The convective resistance of the fluid is negligible: The convective resistance is represented by the convective heat transfer coefficient. When the Biot number is small, it means that the convective resistance is small compared to the conductive resistance. Therefore, the convective resistance of the fluid cannot be considered negligible in this case.

b) The conductive resistance of the fluid is negligible: Similar to the previous option, the conductive resistance of the fluid cannot be considered negligible when the Biot number is small. This is because the Biot number represents the ratio of the internal thermal resistance to the external thermal resistance of a solid, not the fluid.

c) The conductive resistance of the solid is negligible: The conductive resistance of the solid refers to the thermal resistance within the solid material itself. When the Biot number is small, it indicates that the internal thermal resistance of the solid is much smaller compared to the external thermal resistance. In other words, the heat transfer within the solid material is much faster compared to the heat transfer at the solid-fluid interface. Therefore, the conductive resistance of the solid can be considered negligible when the Biot number is small.

Therefore, the correct answer is option 'C' - the conductive resistance of the solid is negligible.
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The value of Biot number is very small (less than 0.01),when[2002]a)The convective resistance of fluid is negligibleb)The conductive resistance of fluid is negligiblec)The conductive resistance of solid is negligibled)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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