Skip to main content
SpringerLink
Log in

Experiments in alluvial bed channel flow resistance

  • Originals
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Experiments were done to develop a flow resistance equation for a rectangular channel with an alluvial bed. The purpose of the experiments was to produce a data set containing statistical bedform measurements from which an effective channel bed roughness could be derived. A tentative flow resistance equation containing a relative roughness term, a channel shape or aspect ratio term, and a Froude number term was produced.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

A :

constant of integration

B :

constant of integration

b :

statistic for runs test

E(t*):

bed elevation time record

F :

Froude number

f :

Darcy-Weisbach resistance coefficient

G(t*):

autocorrelation function

g :

gravity field strength

I :

nondimensional integral time constant

k :

bed roughness height

L*:

normalized time to first zero crossing of the autocorrelation function

n :

proportionality coefficient

R :

hydraulic radius

r :

correlation coefficient of linear regression

S e :

energy gradient

t*:

time normalized by total record length

U :

local time-mean velocity

Ū :

mean flow velocity

U*:

shear velocity

Y :

composite dependent variable symbol

y :

elevation above the effective channel bottom

y t :

total depth of flow

z :

channel width

°:

boundary layer thickness

χ:

Karman coefficient

ν:

kinematic water viscosity

Π:

wake strength coefficient

σ:

standard deviation of the bed elevation time record

ω:

functional symbol

References

  • Bendat, J. S.; Piersol, A. G. 1966: Measurement and analysis of random data. 221–222. New York: Wiley

    Google Scholar 

  • Coles, D. 1956: The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1, 191–226

    Google Scholar 

  • Gee, D. M. 1975: Bedform response to unsteady flows. J. Hydraulics Divis., Amer. Soc. Civ. Eng. 101, HY3, 437–449

    Google Scholar 

  • Maddock, T., Jr. 1970: Indeterminate hydraulics of alluvial channels. J. Hydraulics Divis., Amer. Soc. Civ. Eng. 96, HY11, 2309–2323

    Google Scholar 

  • Nikuradse, J. 1933: Laws of flow in rough pipes. National Advisory Committee for Aeronautics, pp. 62. Technical Memorandum 1292

  • Nordin, C. F., Jr.; Algert, J. H. 1966: Spectral analysis of sand waves. J. Hydraulics Divis., Amer. Soc. Civ. Eng. 92, HY5, 95–114

    Google Scholar 

  • Nordin, C. F., Jr. 1971: Statistical properties of dune profiles, pp. 41. US Geological Survey Professional Paper 562-F

  • Perry, A. E.; Joubert, P. N. 1963: Rough-wall boundary layer in adverse pressure gradients. J. Fluid Mech. 17, 193–211

    Google Scholar 

  • Rouse, H. 1946: Elementary mechanics of fluids, pp. 203. New York: Wiley

    Google Scholar 

  • Schlichting, H. 1966: Boundary layer theory, pp. 524. New York: McGraw-Hill

    Google Scholar 

  • Vanoni, V. A; Hwang, L.-S. 1967: Relation between bed forms and friction in streams. J. Hydraulics Divis., Amer. Soc. Civ. Eng. 93, HY3, 121–144

    Google Scholar 

  • Willis, J. C.; Kennedy, J. F. 1977: Sediment discharge of alluvial streams calculated from bed-form statistics, pp. 199. State University of Iowa, Iowa Institute of Hydraulic Res., Rep. No. 202

Download references

Author information

Authors and Affiliations

  1. USDA Sedimentation Laboratory, P.O. Box 1157, 38655, Oxford, Miss., USA

    N. L. Coleman

Authors
  1. N. L. Coleman
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Coleman, N.L. Experiments in alluvial bed channel flow resistance. Experiments in Fluids 1, 205–208 (1983). https://doi.org/10.1007/BF00266469

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00266469

Keywords

Search

Navigation