The value of Biot number is very small (less then 0.1)a)the convective...
Since Biot number is the ratio of conduction resistance to convection resistance and in lumped heat analysis convection resistance ≫ conduction resistance, it means that conduction resistance of solid is negligible as compared to convection resistance of fluid.
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The value of Biot number is very small (less then 0.1)a)the convective...
Explanation:
Biot number (Bi) is a dimensionless parameter used in heat transfer which describes the relative importance of conduction and convection in a particular system. It is defined as the ratio of conductive resistance to convective resistance.
Bi = hL/k
Where,
h = convective heat transfer coefficient
L = characteristic length
k = thermal conductivity of the solid
When the value of Bi is very small (less than 0.1), it implies that the conductive resistance of the solid is negligible as compared to the convective resistance of the fluid.
This can be explained as follows:
• Convective resistance of fluid: Convective resistance refers to the resistance offered by the fluid to the flow of heat due to its motion. When the value of Bi is very small, it implies that the convective heat transfer coefficient is large as compared to the thermal conductivity of the fluid. This means that the fluid can transfer heat more easily by convection than by conduction. Hence, the convective resistance of the fluid is negligible.
• Conductive resistance of fluid: Conductive resistance refers to the resistance offered by the fluid to the flow of heat due to its thermal conductivity. When the value of Bi is very small, it implies that the thermal conductivity of the fluid is low as compared to the convective heat transfer coefficient. This means that the fluid can transfer heat more easily by convection than by conduction. Hence, the conductive resistance of the fluid is negligible.
• Conductive resistance of the solid: Conductive resistance refers to the resistance offered by the solid to the flow of heat due to its thermal conductivity. When the value of Bi is very small, it implies that the thermal conductivity of the solid is high as compared to the convective heat transfer coefficient of the fluid. This means that the solid can transfer heat more easily by conduction than by convection. Hence, the conductive resistance of the solid is negligible.
Therefore, the correct answer is option 'C' - the conductive resistance of the solid is negligible.
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