Reynolds Number and Turbulence in Atmospheric Boundary Layers

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Discussion Overview

The discussion revolves around the calculation of Reynolds number in the context of a house situated in a valley with a wind speed of 5 m/s. Participants explore how to determine the characteristic dimension for assessing whether the flow around the house is laminar or turbulent, considering the atmospheric boundary layer's characteristics.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about the appropriate characteristic dimension for calculating Reynolds number, suggesting the height of the house as a potential candidate.
  • Another participant agrees that either the height or width could be used, but notes that if they differ significantly, further consideration is needed, recommending the smaller dimension in uncertain cases.
  • A different participant emphasizes that the choice of characteristic length scale depends on the specific portion of the flow being studied, questioning what aspect of the flow the original poster is interested in analyzing.
  • The original poster clarifies they are studying a 2D geometry and are particularly interested in the turbulence of the flow around the house, mentioning an unperturbed flow 1-1.5 km away.
  • One participant challenges the clarity of the original poster's description of "the flow around the house," suggesting that the incoming boundary-layer flow or the wake behind the house could require different characteristic lengths for Reynolds number calculation.
  • This participant asserts that the atmospheric boundary layer is almost always turbulent, indicating that Reynolds number is not a definitive measure of laminar or turbulent states in such contexts.
  • Concerns are raised about the relevance of a 2D flow model when compared to the actual 3D flow dynamics around the house.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate characteristic dimension for Reynolds number calculation and the relevance of 2D versus 3D flow analysis. There is general agreement that the atmospheric boundary layer is typically turbulent, but no consensus on the specifics of the flow around the house or the best approach to determine turbulence.

Contextual Notes

Participants note the dependence of the characteristic length scale on the geometry of the problem and the specific flow features being analyzed. The discussion highlights the complexities involved in applying Reynolds number to real-world scenarios, particularly in atmospheric contexts.

Martina835
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Hi people! I'm studying the problem of a house in a valley with a wind at 5m/s. If I'd like to compute Reynolds number here and know if the flow is laminar or turbulent which is the charateristic dimension? The height of the house?
 
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The height or the width, yes. If they differ too much, then it will need more thought (in doubt, I would take the smaller one).
 
This depends on what portion of the flow you wish to study, as the Reynolds number requires a characteristic length scale and selecting that length scale depends on the geometry of the problem. So what part of the flow are you hoping to check for turbulence? If it is the wake created by the house, then it is likely the width of the house that should be used. If you want to know whether the atmospheric boundary layer itself is turbulent, the answer is almost invariably yes. Even if it is not, Reynolds number is itself meaningless for determining the laminar/turbulent state of an open flow like a boundary layer.
 
I am studying a 2D geometry so I just have the length and the height! Yes I wish to know if the flow around the house is turbulent...much away from the house (1-1.5km up) I have an unperturbated flow.
 
Okay, but you still haven't really unambiguously described what you mean by "the flow around the house" in this context. Do you mean the incoming boundary-layer flow or the wake behind the house? Like I said before, the wake would indicate the use of some spatial dimension of the house as the characteristic length in the Reynolds number. In this case it would be hard to say whether the height or width would be more appropriate, but I would suspect the height is more appropriate based solely on experience.

Otherwise, if you just want to know if the incoming flow is turbulent, I also said that the answer is essentially just "yes" with an atmospheric boundary layer. An atmospheric boundary layer is essentially always turbulent. Even if it wasn't, Reynolds number does not tell you whether a boundary layer is laminar or turbulent.

I'll also caution you that a 2D flow here will be very irrelevant when comparing to the actual, 3D flow around a house.
 

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