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Scaling and similarity in rough channel flows
Gioia, G.; Bombardelli, F.A. (2002). Scaling and similarity in rough channel flows. Phys. Rev. Lett. 88(1): 014501-1 - 014501-4
In: Physical Review Letters. American Physical Society: Woodbury, N.Y., etc.. ISSN 0031-9007, more
Peer reviewed article  

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  • Gioia, G.
  • Bombardelli, F.A.

Abstract
    We show that Manning’s empirical formula for the mean velocity of turbulent flows in channels represents the power-law asymptotic behavior of a flow of incomplete similarity in the relative roughness. We then derive the formula based on the phenomenological theory of turbulence. Our derivation yields the correct similarity exponent; it justifies Manning’s use of a single parameter, the hydraulic radius, to characterize the geometry of the cross section; and it affords insight into the mechanism of momentum transfer.

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