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F or heat transfer across a solid-fluid interface, which one of the following statements is NOT true
when the Biot number is very small compared to 1?
  • a)
    Conduction resistance in the solid is very small compared to convection resistance in the fluid
  • b)
    Temperature profile within the solid is nearly uniform
  • c)
    Temperature drop in the fluid is significant
  • d)
    Temperature drop in the solid is significant
Correct answer is option 'D'. Can you explain this answer?
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Explanation:

Biot number (Bi) is defined as the ratio of convective heat transfer resistance to conductive heat transfer resistance. Mathematically, Bi = hL/k, where h is the convective heat transfer coefficient, L is the characteristic length scale, and k is the thermal conductivity of the solid.

When the Biot number is very small compared to 1 (i.e., Bi < 1),="" the="" following="" statements="" are="" />

- Conduction resistance in the solid is very small compared to convection resistance in the fluid: Since Bi < 1,="" the="" convective="" heat="" transfer="" resistance="" is="" much="" larger="" than="" the="" conductive="" heat="" transfer="" resistance.="" therefore,="" convection="" dominates="" over="" conduction,="" and="" the="" heat="" transfer="" rate="" is="" mainly="" determined="" by="" the="" fluid="" flow="" />
- Temperature profile within the solid is nearly uniform: Since conduction resistance is very small, the temperature gradient within the solid is negligible. Therefore, the temperature distribution within the solid is nearly uniform.
- Temperature drop in the fluid is significant: Since convective heat transfer resistance is much larger than conductive heat transfer resistance, the temperature drop across the fluid is significant. This means that the fluid temperature decreases significantly as it flows over the solid surface.
- Temperature drop in the solid is significant: This statement is NOT true when Bi < 1.="" instead,="" the="" temperature="" drop="" in="" the="" solid="" is="" negligible="" because="" the="" temperature="" gradient="" within="" the="" solid="" is="" very="" />

Therefore, option D is the correct answer as it contradicts the statement that the temperature drop in the solid is significant.
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F or heat transfer across a solid-fluid interface, which one of the following statements is NOT truewhen the Biot number is very small compared to 1?a)Conduction resistance in the solid is very small compared to convection resistance in the fluidb)Temperature profile within the solid is nearly uniformc)Temperature drop in the fluid is significantd)Temperature drop in the solid is significantCorrect answer is option 'D'. Can you explain this answer?
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F or heat transfer across a solid-fluid interface, which one of the following statements is NOT truewhen the Biot number is very small compared to 1?a)Conduction resistance in the solid is very small compared to convection resistance in the fluidb)Temperature profile within the solid is nearly uniformc)Temperature drop in the fluid is significantd)Temperature drop in the solid is significantCorrect answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about F or heat transfer across a solid-fluid interface, which one of the following statements is NOT truewhen the Biot number is very small compared to 1?a)Conduction resistance in the solid is very small compared to convection resistance in the fluidb)Temperature profile within the solid is nearly uniformc)Temperature drop in the fluid is significantd)Temperature drop in the solid is significantCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for F or heat transfer across a solid-fluid interface, which one of the following statements is NOT truewhen the Biot number is very small compared to 1?a)Conduction resistance in the solid is very small compared to convection resistance in the fluidb)Temperature profile within the solid is nearly uniformc)Temperature drop in the fluid is significantd)Temperature drop in the solid is significantCorrect answer is option 'D'. Can you explain this answer?.
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