Surface cooling - Rayleigh, Prandtl and Grashof numbers

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SUMMARY

The discussion centers on calculating the surface cooling rate of a round tin can using Rayleigh, Prandtl, and Grashof numbers. The user, Roger, initially encountered an erroneous high cooling rate due to mistakenly using the thermal conductivity (k) of the metal instead of that of air. This highlights the importance of using the correct material properties in thermal calculations to achieve accurate results.

PREREQUISITES
  • Understanding of Rayleigh number and its significance in convection
  • Familiarity with Prandtl number and its role in heat transfer
  • Knowledge of Grashof number and its application in buoyancy-driven flow
  • Basic principles of thermal conductivity for different materials
NEXT STEPS
  • Study the relationship between Rayleigh, Prandtl, and Grashof numbers in thermal analysis
  • Learn how to accurately determine thermal conductivity for various materials
  • Explore computational methods for calculating cooling rates in fluid dynamics
  • Investigate common pitfalls in thermal calculations and how to avoid them
USEFUL FOR

Engineers, physicists, and students involved in thermal analysis, fluid dynamics, and heat transfer applications will benefit from this discussion.

Roger44
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Hello,
I am trying to calculate the surface cooling rate from the sides of a round tin can using Rayleigh, Prandtl and Grashof numbers but I'm getting a ridiculously high result, and I'm hoping someone could run through my numbers to tell me where I'm going wrong.

Posting my question is going to take a bit of time, so could you let me know if you're willing to tackle this one.

Thanks
Roger
 
Engineering news on Phys.org
OK, found it.
I took k of the metal instead of k of air.
Sorry
 

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