Characteristic lengh in Reynolds number

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SUMMARY

The characteristic length (l) in the Reynolds number equation $$Re= \frac{ρ.v.l}{μ}$$ is crucial for accurately analyzing fluid dynamics. When calculating the Reynolds number for a wing of an aircraft, the choice between using the length or width depends on the specific aerodynamic phenomena being studied. There is no universally correct answer; the selection of characteristic length should align with the physics of the scenario under investigation, as various interpretations of Reynolds number exist based on the context of the problem.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Reynolds number and its significance
  • Knowledge of aerodynamic characteristics of wings
  • Basic grasp of dimensional analysis in physics
NEXT STEPS
  • Research the different interpretations of Reynolds number in fluid dynamics
  • Explore the impact of characteristic length selection on aerodynamic calculations
  • Study the principles of boundary layer theory in relation to wings
  • Examine case studies of Reynolds number applications in aerospace engineering
USEFUL FOR

Aerospace engineers, fluid dynamics researchers, and students studying aerodynamics will benefit from this discussion, particularly those focused on the application of Reynolds number in practical scenarios.

mastermechanic
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As we know $$Re= \frac{ρ.v.l}{μ}$$ The characteristic length (l) is said to be representative of the problem but according to what should we choose this length? I mean if we want to calculate Reynolds number of a wing of plane, should we choose the length or the width?
 
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Which do you think and why? In fact, there isn't really a correct answer here. You just have to choose based on the physics you hope to study. Really there are many possible versions of ##Re## even just on a wing depending on the phenomenon of interest.
 
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