Technical Papers
Jul 22, 2016

Stone Stability under Stationary Nonuniform Flows

Publication: Journal of Hydraulic Engineering
Volume 142, Issue 12

Abstract

A stability parameter for rock in bed protections under nonuniform stationary flow is derived. The influence of the mean flow velocity, turbulence, and mean acceleration of the flow are included explicitly in the parameter. The relatively new notion of explicitly incorporating the mean acceleration of the flow significantly improves the description of stone stability. The new stability parameter can be used in the design of granular bed protections using a numerical model for a large variety of flows. The coefficients in the stability parameter are determined by regarding the measured low-mobility entrainment rate of rock as a function of the stability parameter. Measurements of flow characteristics and stone entrainment of four different previous studies and many configurations (uniform flow, expansion, contraction, and sill) are used. These configurations have different relative contributions of mean flow, turbulence, and stationary acceleration. The coefficients in the parameter are fit to all data to obtain a formulation that is applicable to many configurations with nonuniform flow.

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References

Breusers, H., and Schukking, W. (1971). “Initiation of motion of bed material.”, Deltares, Delft (in Dutch).
Buffington, J. (1999). “The legend of A.F. Shields.” J. Hydraul. Eng., 376–387.
Chiew, Y. M., and Parker, G. (1994). “Incipient sediment motion on non-horizontal slopes.” J. Hydraul. Res., 32(5), 649–660.
CUR, CIRIA, and CETMEF (Civieltechnisch Centrum Uitvoering Research en Regelgeving, Construction Industry Research and Information Association, and Centre d'Etudes Techniques Maritimes Et Fluviale). (2007). The Rock Manual: The use of rock in hydraulic engineering, 2nd Ed., London.
Dean, R. G., and Dalrymple, R. A. (1991). Water wave mechanics for engineers and scientists, World Scientific, Singapore.
De Gunst, M. (1999). “Stone stability in a turbulent flow behind a step.” M.Sc. thesis, Delft Univ. of Technology, Delft, Netherlands (in Dutch).
Dessens, M. (2004). “The influence of flow acceleration on stone stability.” M.Sc. thesis, Delft Univ. of Technology, Delft, Netherlands.
Dey, S. (2003). “Threshold of sediment motion on combined transverse and longitudinal sloping beds.” J. Hydraul. Res., 41(4), 405–415.
Dey, S., and Papanicolaou, A. (2008). “Sediment threshold under stream flow: A state-of-the-art review.” J. Civ. Eng., 12(1), 45–60.
Escarameia, M., and May, R. W. P. (1995). “Stability of riprap and concrete blocks in highly turbulent flows.” Proc. Inst. Civ. Eng. Water Marit. Energy, 112, 227–237.
Froehlich, D. C. (1997). “Riprap particle stability by moment analysis.” Hydraul. Eng. Theme A, 172, 862.
Hoan, N. T. (2008). “Stone stability under non-uniform flow.” Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
Hoan, N. T., Stive, M. J. F., Booij, R., and Verhagen, H. J. (2011). “Stone stability in nonuniform flow.” J. Hydraul. Eng., 884–893.
Hoefel, F., and Elgar, S. (2003). “Wave-induced sediment transport and sandbar migration.” Science, 299(5614), 1885–1887.
Hoffmans, G. (2010). “Stability of stones under uniform flow.” J. Hydraul. Eng., 129–136.
Hofland, B. (2005). “Rock & roll: Turbulence-induced damage to granular bed protections.” Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
Hofland, B., and Booij, R. (2006). “Numerical modeling of damage to scour protections.” 3rd Int. Conf. on Scour and Erosion, Gouda, Netherlands.
Huijsmans, M. A. (2006). “The influence of flow acceleration on the stability of stones.” M.Sc. thesis, Delft Univ. of Technology, Delft, Netherlands.
Izbash, S. V. (1932). “Construction of dams by dumping of stone in running water.” Moscow, Leningrad (in Russian).
Jongeling, T. H. G., Blom, A., Jagers, H. R. A., Stolker, C., and Verheij, H. J. (2003). “Design method granular protections.”, WL Delft Hydraulics, Delft, Netherlands (in Dutch).
Jongeling, T. H. G., Jagers, H. R. A., and Stolker, C. (2006). “Design of granular bed protections using a RANS 3D-flow model.” Proc., 3rd Int. Conf. on Scour and Erosion, H. Verheij and G. Hoffmans, eds., CURNET, Gouda, 340–346.
Maynord, S. T., Ruff, J. F., and Abt, S. R. (1989). “Riprap design.” J. Hydraul. Eng., 937–949.
OpenFOAM 2.1.1 [Computer software]. OpenCFD Foundation, Bracknell, U.K.
Paintal, A. S. (1971). “Concept of critical shear stress in loose boundary open channels.” J. Hydraul. Res., 9(1), 91113.
Pilarczyk, K. W. (2001). “Unification of stability formulae for revetments.” 26th IAHR Congress, Rijkswaterstaat, Delft, Netherlands.
Schiereck, G. J. (2001). “Introduction to bed, bank and shore protection.” VSSD, Delft, Netherlands.
Shields, A. (1936). “Anwendung der aehnlichkeitsmechanik und der turbulenzforschung auf die geschiebebewegung.” Mitteilungen der Preussischen Versuchsanstalt fuerWasserbau und Schiffbau, Berlin (in German).
Smart, G. M., and Habersack, H. M. (2007). “Pressure fluctuations and gravel entraiment in rivers.” J. Hydraul. Res., 45(5), 661–673.
Steenstra, R. S. (2014). “Incorporation of the effects of accelerating flow in the design of granular bed protections.” M.Sc. thesis, Delft Univ. of Technology, Delft, Netherlands.
Tromp, M. (2004). “The influence that fluid accelerations have on the threshold of motion.” M.Sc. thesis, Delft Univ. of Technology, Delft, Netherlands.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 142Issue 12December 2016

History

Received: Sep 28, 2015
Accepted: Apr 28, 2016
Published online: Jul 22, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 22, 2016

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Authors

Affiliations

Remco Steenstra [email protected]
Consultant, flux.partners, Amsterdam, Netherlands; formerly, Graduate Student, Delft Univ. of Technology, Environmental Fluid Mechanics Section, Stevinweg 1, 2628 CN, Delft, Netherlands. E-mail: [email protected]
Bas Hofland [email protected]
Assistant Professor, Delft Univ. of Technology, Stevinweg 1, 2628 CN, Delft, Netherlands; Dept. of Coastal Structures and Waves, Deltares, Stevinweg 1, 2628 CN, Delft, Netherlands (corresponding author). E-mail: [email protected]
Alfons Smale
Advisor, Dept. of Coastal Structures and Waves, Deltares, Boussinesqweg 1, 2629 HV, Delft, Netherlands.
Andries Paarlberg
Advisor, HKV Consultants, Botter 1129, 8232 JN, Lelystad, Netherlands.
Fredrik Huthoff
Advisor, HKV Consultants, Botter 1129, 8232 JN, Lelystad, Netherlands.
Wim Uijttewaal
Head of Dept. of Hydraulic Engineering, Delft Univ. of Technology, Stevinweg 1, 2628 CN, Delft, Netherlands.

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