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Discussion: ‘Macroscale surface roughness and frictional resistance in overland flow’ by D. S. L. Lawrence

✍ Scribed by Abrahams, Athol D.


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
14 KB
Volume
23
Category
Article
ISSN
0360-1269

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✦ Synopsis


Lawrence argued that the inundation ratio Λ, defined as the mean flow depth d divided by the roughness height k, is the dominant control of flow resistance f and should be used as the primary variable when evaluating the hydraulics of overland flow on rough surfaces. Lawrence defined three flow regimes on the basis of Λ and developed an expression for f in terms of Λ for each regime. Common sense, however, suggests that f is independent of Λ where Λ<1 because when roughness elements protrude through the flow, the value of f for the flow is the same regardless of the height of the elements. The error appears to have crept in as a result of Lawrence's representation of roughness elements by hemispheres. Lawrence found that f ∝ d/k, which she interpreted to mean f ∝Λ. However, in her model the length dimension denoted by k is in fact half the breadth b/2 of the roughness elements. The distinction between k and b/2 is important, especially for roughness elements where k ≠ b/2. Thus, contrary to Lawrence's claim, f is not generally a function of Λ. Instead, f is a function of Λ only where Λ>1. Where Λ<1, f is a function of d/(b/2) or d/b.


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Reply: ‘Macroscale surface roughness and
✍ Lawrence, D. S. L. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 48 KB 👁 2 views

The model for characterizing frictional resistance in overland flow as a function of surface roughness inundation presented in Lawrence (1997, Earth Surface Processes and Landforms, 22, 365-382) is neither in error nor at odds with physical intuition. The proposed model provides a simple, physically