Nusselt Number Correlation

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SUMMARY

The discussion focuses on finding a Nusselt number correlation suitable for shell and tube heat exchangers operating in the laminar flow regime (Re < 3000). The user references empirical correlations from Hausen (1959) and Stephan (1959), which are documented in the Waermeatlas (1984) and provide relevant equations for calculating the Nusselt number. Specifically, the equation from Schluender (1972) is highlighted: $$\operatorname {Nu_0} = \sqrt[\uproot{4} \leftroot{-4} \scriptstyle 3]{ \; 3.66^3 + 1.61^3 \, \operatorname {Re}\,\operatorname {Pr}\,d_i/l \; }$$. This equation is applicable for constant wall temperature scenarios in laminar flow heat transfer.

PREREQUISITES
  • Understanding of Nusselt number correlations
  • Familiarity with laminar flow dynamics
  • Knowledge of heat exchanger design principles
  • Proficiency in interpreting empirical data and equations
NEXT STEPS
  • Research the application of the Nusselt number correlation in laminar flow heat exchangers
  • Study the thermal entrance region effects in heat transfer
  • Examine the significance of the Prandtl number in heat transfer calculations
  • Explore additional empirical correlations for low Reynolds number flows
USEFUL FOR

Engineers and researchers involved in thermal engineering, specifically those working with heat exchangers and laminar flow systems, will benefit from this discussion.

cruckshank
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I am looking for a Nusselt number correlation that will work for a shell & tube heat exchanger in the Re < 3000 region, i.e. extremely laminar flow (for a lab experiment).

I've been searching for a while now, but can only find empirical correlations for Re > 3000, and was thus hoping that someone could point me in the right direction.
 
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Slightly annoying. First it posts the same thing three times, then it deletes the first while I 'deleted' 2 and 3. Great.

http://www.itcp.kit.edu/deutschmann/img/content/Doppelrohrwaermeaustauscher.pdf page 9 (Hausen 1959)
http://www.zogg-engineering.ch/MVTTVT/Buch_WuS.pdf page 29 (Stephan 1959)

Both occur in my Waermeatlas (1984 ! ) where there is also Schluender (1972) $$
\operatorname {Nu_0} = \sqrt[\uproot{4} \leftroot{-4} \scriptstyle 3]{ \; 3.66^3 + 1.61^3 \, \operatorname {Re}\,\operatorname {Pr}\,d_i/l \; } $$

All in German, all for flow through pipes
 
The equation BvU gives a good approximation for laminar flow heat transfer in a tube, including both the thermal entrance region and for distances beyond the thermal entrance region. This equation applies to a constant wall temperature.
 

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