Fluid mechanics/heat transfer - meaning of Nusselt number

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SUMMARY

The Nusselt number (Nu) quantifies the ratio of convective heat transfer to conductive heat transfer in fluid mechanics and heat transfer applications. At the onset of convection, the Nusselt number equals 1, indicating that heat transfer is purely conductive when fluid velocity approaches zero. This relationship is mathematically expressed as Nu = Qconvection/Qconduction, highlighting that conduction serves as the limiting case of convection. Understanding this concept is crucial for analyzing heat transfer mechanisms in various engineering applications.

PREREQUISITES
  • Fundamentals of fluid mechanics
  • Basic principles of heat transfer
  • Understanding of convection and conduction
  • Mathematical representation of heat transfer equations
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  • Study the derivation of the Nusselt number in various flow regimes
  • Explore the implications of Nusselt number in forced and natural convection scenarios
  • Investigate the role of Nusselt number in thermal design of heat exchangers
  • Learn about dimensionless numbers in fluid dynamics and their applications
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Engineers, researchers, and students in mechanical engineering, particularly those focusing on fluid dynamics and thermal analysis, will benefit from this discussion on the Nusselt number and its significance in heat transfer processes.

RobosaurusRex
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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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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##.
 

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