How to determine characteristic length?

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SUMMARY

The discussion focuses on determining characteristic lengths for Reynolds, Grashof, Nusselt, and Biot numbers, specifically for geometries such as a plane wall, cylinder, and sphere. The characteristic length for Reynolds number is defined as the diameter of a pipe, while the Biot number's characteristic length is calculated using the formula volume divided by external surface area. Participants recommend consulting the Incropera textbook for detailed methodologies and suggest starting with Wikipedia articles for foundational knowledge.

PREREQUISITES
  • Understanding of fluid dynamics concepts such as Reynolds number and Biot number
  • Familiarity with heat transfer principles related to Nusselt number
  • Basic knowledge of geometry and surface area calculations
  • Access to the Incropera textbook for in-depth study
NEXT STEPS
  • Research the derivation of characteristic lengths for various geometries in fluid dynamics
  • Study the Incropera textbook for comprehensive explanations on heat transfer and fluid mechanics
  • Explore Wikipedia articles on Reynolds, Biot, and Nusselt numbers for foundational understanding
  • Investigate correlation methods used in fluid dynamics to determine characteristic lengths
USEFUL FOR

Students and professionals in mechanical engineering, particularly those specializing in fluid dynamics and heat transfer, will benefit from this discussion.

goggles31
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There are characteristic lengths for Reynold's, Grashof, Nusselt, and Biot number but the method of obtaining them is not given in my notes. I would like to know how to do so for a plane wall, cylinder and sphere. Thank you.
 
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goggles31 said:
There are characteristic lengths for Reynold's, Grashof, Nusselt, and Biot number but the method of obtaining them is not given in my notes. I would like to know how to do so for a plane wall, cylinder and sphere. Thank you.
Have you tried a search, and see to where that leads.
https://en.wikipedia.org/wiki/Reynolds_number
https://en.wikipedia.org/wiki/Biot_number
https://en.wikipedia.org/wiki/Nusselt_number
etc. as a starter.

A pipe, for example, would have a Reynold's characteristic length of its diameter.
 
The biot number characteristic length is volume/(eternl surface).
For convention problems the characteristic lengths are in according to the correlation u are using. Normaly They are the Most intuitive ones. I suggest you to look for the incropera textbook. U can find the pdf version easily searching on Google.
 
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