TECHNICAL PAPERS
Sep 1, 2005

Measurement of Fluctuating Pressures on Coarse Bed Material

Publication: Journal of Hydraulic Engineering
Volume 131, Issue 9

Abstract

Bed protections are usually characterized by low-mobility transport conditions and nonequilibrium turbulence profiles. As the present knowledge of the influence of turbulence on stability of cover layer units is minimal, an in-depth investigation was undertaken regarding the influence of turbulence on the stability of rough granular beds. Detailed measurements of (fluctuating) pressures on a bed element are used to evaluate certain concepts that are often used in modeling the entrainment of bed material from hydraulically rough beds. Three pressure transducers are placed in a cube that is part of a rough granular bed under open-channel flow, and velocities are measured using laser Doppler velocimetry. The measurements show that the magnitude of the fluctuating pressure at a certain point of the cube is a function of the exposure relative to the stones upstream of the cube. A quadrant analysis reveals that the drag force is not only directly dependent on the horizontal near-bed velocity, but on the vertical velocity as well. Further, the effect of small-scale eddies shedding from the stone during large-scale increases of longitudinal velocity is shown. The fact that large-scale velocity fluctuations create a large part of the pressure (or force) variance indicates that downstream of a roughness transition these fluctuations have to be taken into account in order to evaluate the stability of the bed.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The research has been financially supported by the Road and Hydraulic Engineering Division of the Ministry of Transport, Public Works, and Water Management, (Contract No. UNSPECIFIEDDWW-1700) and Delft Cluster, under the theme Coast and River.

References

Aksoy, S. (1973). “Fluid force acting on a sphere near a solid boundary.” XV IAHR Congress, Vol. 1.
Andrews, E. D., and Smith, J. D. (1992). “A theoretical model for calculating marginal bedload transport rates of gravel.” Dynamics of gravel-bed rivers, P. Billi, C. R. Hey, C. R. Thorne, and P. Tacconi eds., Wiley, New York.
Auton, T. R. (1987). “The lift force on a spherical body in a rotational flow.” J. Fluid Mech., 183, 199–218.
Benedict, B. A., and Christensen, B. A. (1972). “Hydrodynamic lift on a stream bed.” Sedimentation, Symp. to Honor Prof. H. A. Einstein, H. W. Shen, ed, Fort Collins, Colo.
Centre for Civil Engineering Research and Codes (CUR). (1995). “Manual on the use of rock in hydraulic engineering.” Technical Rep. No. 169, Gouda, The Netherlands.
Chepil, W. S. (1958). “The use of evenly spaced hemispheres to evaluate aerodynamic forces on a soil surface.” Trans., Am. Geophys. Union, 39(3), 397–404.
Chepil, W. S. (1959). “Equilibrium of soil grains at the threshold of movement by wind.” Soil Sci. Soc. Am. Proc., 23, 422–428.
Coleman, N. L. (1972). “The drag coefficient of a stationary sphere on a boundary of similar spheres.” Houille Blanche1, 17–21.
Egiazaroff, I. V. (1965). “Calculation of nonuniform sediment concentrations.” J. Hydraul. Div., Am. Soc. Civ. Eng., 91(4), 225–248.
Einstein, H. A., and El-Samni, E. A. (1949). “Hydrodynamic forces on a rough wall.” Rev. Mod. Phys., 21(3), 520–524.
Fenton, J. D., and Abbot, J. E. (1977). “Initial movement of grains in a stream bed: the effect of relative protrusion.” Proc. R. Soc. London, Ser. A, 352, 523–537.
Gioia, G., and Bombardelli, F. A. (2002). “Scaling and similarity in rough channel flows.” Phys. Rev. Lett., 88(1), 014501-1-4.
Grass, A. J. (1970). “Initial instability of fine bed sands.” J. Hydraul. Div., Am. Soc. Civ. Eng., 96(3), 619–632.
Hofland, B. (2003). “Discussion of ‘Discrete particle modeling of entrainment from flat uniformly sized sediment beds by I. McEwan and J. Heald’.” J. Hydraul. Eng., 129(1), 78–80.
Hurther, D., and Lemmin, U. (1999). “Shear stress statistics in a turbulent, open-channel flow over a rough bed.” XXVIII IAHR Congress, Graz, Austria.
Kalinske, A. A. (1947). “Movement of sediments as bed load in rivers.” Trans., Am. Geophys. Union, 28(4), 615–621.
Kirchner, J. W., Dietrich, W. E., Iseya, F., and Ikeda, H. (1990). “The variability of critical shear stress, friction angle, and grain protrusion in water-worked sediments.” Sedimentology, 37, 647–672.
Kleinhans, M. G., and Van Rijn, L. C. (2002). “Stochastic prediction of sediment transport in sand-gravel bed rivers.” J. Hydraul. Eng., 128(4), 412–425.
McEwan, I., and Heald, J. (2001). “Discrete particle modeling of entrainment from flat uniformly sized sediment beds.” J. Hydraul. Eng., 127(7), 588–597.
Moraga, F. J., Bonetto, F. J., and Lahey, R. T. (1999). “Lateral forces on spheres in turbulent uniform shear flow.” Int. J. Multiphase Flow, 25(6–7), 1321–1372.
Nelson, J. M., Shreve, R. L., McLean, S. R., and Drake, T. G. (1995). “Role of near-bed turbulence structure in bed load transport and bed form mechanics.” Water Resour. Res., 31(8), 2071–2086.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows, Balkema, Rotterdam, The Netherlands.
Nikora, V. I., Heald, J., Goring, D., and McEwan, I. (2001). “Diffusion of saltating particles in unidirectional water flow over a rough granular bed.” J. Phys. A, 34, L743–L749.
Obi, S., Inoue, K., Furukawa, T., and Masuda, S. (1996). “Experimental study on the statistics of wall shear stress in turbulent channel flows.” Int. J. Heat Fluid Flow, 17(3), 187–192.
Papanicolaou, A. N., Diplas, P., Evaggelopoulos, N., and Fotopoulos, S. (2002). “Stochastic incipient motion criterion for spheres under various bed packing conditions.” J. Hydraul. Eng., 128(4), 369–380.
Pilarczyk, K. W. (2001). “Unification of stability formulae for revetments.” Proc., XXIX IAHR Congress.
Raupach, R. M. (1981). “Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers.” J. Fluid Mech., 108, 363–382.
Schmeeckle, M. W., and Nelson, J. M. (2003). “Direct numerical simulation of bedload transport using a local, dynamic boundary condition.” Sedimentology, 50, 279–301.
Shafi, H. S., and Antonia, R. A. (1997). “Small-scale characteristics of a turbulent flow over a rough wall.” J. Fluid Mech., 342, 263–293.
Shvidchenko, A. B., and Pender, G. (2001). “Macroturbulent structure of open-channel flow over gravel beds.” Water Resour. Res., 37(3), 709–719.
Thorne, P. D., Williams, J. J., and Heathershaw, A. D. (1989). “In situ measurements of marine gravel threshold and transport.” Sedimentology, 36, 61–74.
Van Radecke, H., and Schulz-DuBois, E. O. (1988). “Linear response of fluctuating forces to turbulent velocity components.” Applications of Laser Anemometry to Fluid Mechanics, Libson, Portugal.
Wang, J., Dong, Z., Chen, C., and Xia, Z. (1993). “The effects of bed roughness on the distribution of turbulent intensities in open-channel flow.” J. Hydraul. Res., 31(1), 89–98.
Watters, G. Z., and Rao, M. V. P. (1971). “Hydrodynamic effects of seepage on bed particles.” J. Hydraul. Div., Am. Soc. Civ. Eng., 97(3), 421–439.
Wiberg, P. L., and Smith, D. (1987). “Calculations of the critical shear stress for motion of uniform and heterogeneous sediments.” Water Resour. Res., 23(8), 1471–1480.
Xingkui, W., and Fontijn, H. L. (1993). “Experimental study of the hydrodynamic forces on a bed element in an open channel with a backward-facing step.” J. Fluids Struct., 7(3), 299–318.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 131Issue 9September 2005
Pages: 770 - 781

History

Received: Jun 25, 2003
Accepted: Dec 22, 2004
Published online: Sep 1, 2005
Published in print: Sep 2005

Permissions

Request permissions for this article.

Authors

Affiliations

Bas Hofland
PhD Student, Environmental Fluid Mechanics Section, Delft Univ. of Technology, Stevinweg 1, 2628 CN Delft, The Netherlands; presently, WL/Delft Hydraulics. E-mail: [email protected]
Jurjen A. Battjes
Em. Professor, Environmental Fluid Mechanics Section, Delft Univ. of Technology, Stevinweg 1, 2628 CN Delft, The Netherlands.
Robert Booij
Lecturer, Environmental Fluid Mechanics Section, Delft Univ. of Technology, Stevinweg 1, 2628 CN Delft, The Netherlands.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share