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Variation of bed and transport mean diameters in non-equilibrium conditions

  • Non-Uniformity Of Sediment: Grain Sorting Bed Armouring Transport Of Fine-Sediment Suspensions
  • Conference paper
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Fluvial Hydraulics of Mountain Regions

Part of the book series: Lecture Notes in Earth Sciences ((LNEARTH,volume 37))

Abstract

The paper presents a mathematical scheme able to model the evolution of deposition-erosion processes in a one-dimensional stream, also taking account of non uniform grain-size mixtures and possibly non-equilibrium of sediment transport rate.

Instead of describing the sediment transport for fractions, that is, each fraction by means of its continuity equation, the model uses mean diameter and second-order (and possibly third-) moment of grain-size distribution. As a consequence the number of equations and variables is reduced.

Uj=Tj/Cj

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Abbreviations

A2, B2:

parameters of sediment transport formula

C:

concentration

c1, c2, c3:

coefficients

\(\tilde c_{D_b }\) :

celerity of transported mean diameter

Dj :

mean diameter of class j-th

Db :

mean diameter in the mixing layer

Dt :

mean diameter of the transported material

h:

water depth

L*:

adaptation length

m:

number of grain-size classes

n, n1, l:

exponents

x:

longitudinal coordinate

t:

time

Tj :

transport rate of j-th grain-size class

Tc :

transport capacity of the j-th grain-size class

U:

depth averaged velocity

u * :

friction velocity

w:

particle fall velocity

Z:

bed elevation

αj :

percentage of the j-th class inside the transport layer

βj :

percentage of the j-th class into the exchange layer

δ:

exchange layer thickness

Δ:

height of the dunes

σb, γb :

second and third moments of grain-size distribution inside the mixing layer

σt, γt :

second and third moments of grain-size distribution of transported material

Ï„*:

adaptation time

ζj :

hiding factor for j-th grain-size class

References

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Trent, Trent, Italy

    Aronne Armanini

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  1. Aronne Armanini
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Aronne Armanini Giampaolo Di Silvio

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© 1991 Springer-Verlag

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Armanini, A. (1991). Variation of bed and transport mean diameters in non-equilibrium conditions. In: Armanini, A., Di Silvio, G. (eds) Fluvial Hydraulics of Mountain Regions. Lecture Notes in Earth Sciences, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0011208

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  • DOI: https://doi.org/10.1007/BFb0011208

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54491-3

  • Online ISBN: 978-3-540-38410-6

  • eBook Packages: Springer Book Archive

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