How Do You Calculate the Area of a Cylindrical Fin?

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SUMMARY

The area of a cylindrical fin is calculated using the formula A = πD²/4, which represents the area of the circular tip. However, for heat transfer calculations, the entire surface area of the cylinder must be considered, as heat loss occurs through the entire surface. The discussion clarifies that while the tip area is important for specific calculations, the overall surface area is crucial for accurate thermal analysis.

PREREQUISITES
  • Understanding of basic geometry, specifically circular area calculations.
  • Familiarity with heat transfer principles, particularly convection.
  • Knowledge of cylindrical geometry and surface area calculations.
  • Basic proficiency in using mathematical constants like π (pi).
NEXT STEPS
  • Research the concept of surface area in cylindrical shapes.
  • Learn about heat transfer mechanisms, focusing on convection and conduction.
  • Explore advanced thermal analysis techniques for fins and heat exchangers.
  • Study the application of the formula Q = hA(Ts - Tinfinity) in practical scenarios.
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Students studying thermodynamics, mechanical engineers designing heat exchangers, and anyone involved in thermal management of cylindrical components.

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Homework Statement


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Homework Equations


A = pi D^2/4

Q = hA(Ts - Tinfinity)

Hey, when calculating the area of a cylindrical fin, are you supposed to calculate the area of just the tip (area of a circle), or the surface area of the entire cylinder?

Thanks everyone
 
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I would of thought the whole surface area, since heat can be lost through the whole surface.
 

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