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The determination of value of Nusselt number or the convective film coefficient forms a basis for the computation of heat transfer by convection. Towards that end, following approaches have been suggested
(i) Non-dimensional analysis and experimental correlations
(ii) Hydrodynamic concept of velocity boundary layer
(iii) Reynolds similarity between the mechanism of fluid friction in the boundary layer and the transfer of heat by convection
  • a)
    1, 2 and 3
  • b)
    1 and 2
  • c)
    2 and 3
  • d)
    1 and 3
Correct answer is option 'C'. Can you explain this answer?
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The determination of value of Nusselt number or the convective film co...
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The determination of the Nusselt number or the convective film coefficient is essential for the calculation of heat transfer by convection. There are three approaches suggested for the determination of these values:

(i) Non-dimensional analysis and experimental correlations
(ii) Hydrodynamic concept of velocity boundary layer
(iii) Reynolds similarity between the mechanism of fluid friction in the boundary layer and the transfer of heat by convection

Let's discuss these approaches in detail:

(i) Non-dimensional analysis and experimental correlations:
Non-dimensional analysis is a mathematical technique used to simplify and analyze complex physical problems. This approach involves the derivation of dimensionless groups, such as Reynolds number, Prandtl number, and Nusselt number, which can be used to correlate experimental data.

The Nusselt number can be correlated with the Reynolds and Prandtl numbers using empirical correlations based on experimental data. These correlations can be used to estimate the heat transfer coefficient for different fluids and flow conditions.

(ii) Hydrodynamic concept of velocity boundary layer:
The hydrodynamic concept of velocity boundary layer is based on the idea that the velocity of a fluid in contact with a solid surface is zero, and the velocity of the fluid increases as it moves away from the surface. This concept is used to define the thickness of the velocity boundary layer, which is the region where the velocity of the fluid changes from zero to the free stream velocity.

The Nusselt number can be related to the thickness of the velocity boundary layer, which can be determined using boundary layer theory. This approach is useful for predicting heat transfer coefficients in laminar flow conditions.

(iii) Reynolds similarity between the mechanism of fluid friction in the boundary layer and the transfer of heat by convection:
Reynolds similarity is a concept used to relate the mechanisms of fluid friction and heat transfer. According to this concept, the transfer of heat by convection can be related to the frictional resistance of the fluid flowing over a surface.

The Nusselt number can be related to the frictional resistance of the fluid using empirical correlations based on experimental data. This approach is useful for predicting heat transfer coefficients in turbulent flow conditions.

In conclusion, all three approaches are useful for determining the Nusselt number or the convective film coefficient. However, the choice of approach depends on the flow conditions and the available experimental data.
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The determination of value of Nusselt number or the convective film coefficient forms a basis for the computation of heat transfer by convection. Towards that end, following approaches have been suggested(i) Non-dimensional analysis and experimental correlations(ii) Hydrodynamic concept of velocity boundary layer(iii) Reynolds similarity between the mechanism of fluid friction in the boundary layer and the transfer of heat by convectiona)1, 2 and 3b)1 and 2c)2 and 3d)1 and 3Correct answer is option 'C'. Can you explain this answer?
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