Fluid mechanics/heat transfer - meaning of Nusselt number

In summary, the Nusselt number is a measure of the ratio of heat transfer by convection to conduction. At the onset of convection, the Nusselt number is equal to 1, representing the point where convection transitions to pure conduction.
  • #1
RobosaurusRex
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1
The Nusselt number represents the ratio of heat transfer by convection relative to conduction.

At the onset of convection does this correspond to a Nusselt number of 1?
 
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  • #2
Not sure what "At onset of convection" means, but, as you pointed out, Nusselt number represents the ration of convection and conduction; in fact, by multiplying for $$ΔT*S/ΔT*S$$ you get $$Nu = Q_{convection}/Q_{conduction} $$ So this means simply that conduction is the "limit" of convection: When the fluid slows down its velocity the heat transfer by convection decreases until the fluid stops ( ##v = 0## ) and the heat transfer becomes by pure conduction; in that case the 2 terms of the fraction are equal and thus ##Nu = 1##.
 

1. What is the Nusselt number?

The Nusselt number is a dimensionless number that represents the ratio of convective to conductive heat transfer in a fluid. It is used to characterize the heat transfer performance of a fluid flow system.

2. How is the Nusselt number calculated?

The Nusselt number is calculated by dividing the convective heat transfer coefficient by the conductive heat transfer coefficient. This can be expressed mathematically as Nu = hL/k, where h is the convective heat transfer coefficient, L is the characteristic length, and k is the thermal conductivity of the fluid.

3. What is the significance of the Nusselt number in fluid mechanics?

The Nusselt number is an important dimensionless parameter in fluid mechanics as it provides information about the efficiency of heat transfer in a fluid flow system. A high Nusselt number indicates a higher convective heat transfer rate, which can be beneficial in many engineering applications such as heat exchangers and cooling systems.

4. How does the Nusselt number relate to other dimensionless numbers?

The Nusselt number is closely related to the Prandtl number and the Reynolds number. The Prandtl number characterizes the ratio of momentum diffusivity to thermal diffusivity in a fluid, while the Reynolds number represents the ratio of inertial forces to viscous forces in a fluid flow. These numbers are often used together to analyze and predict heat transfer behavior in various fluid flow systems.

5. Can the Nusselt number be greater than 1?

Yes, the Nusselt number can be greater than 1. In fact, a Nusselt number greater than 1 is indicative of convective heat transfer dominating over conductive heat transfer, which is often desirable in engineering applications. However, the specific value of the Nusselt number will depend on the characteristics of the fluid flow system and the type of heat transfer being considered.

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