Seepage-Induced Spatially-Varied Flow over the Downstream Face of a Rockfill Dam
References
- Arega F., Lam M. Y., Lee J. H. W. (2019) Supercritical stormwater flow interception through bottom rack with transverse barrier, J. Irrig. Drain. Eng., 145(4), doi:10.1061/(ASCE)IR.1943-4774.0001371.
- Berger R. C. (1994) Strengths and weaknesses of shallow-water equations in steep open-channel flow, In: Proceedings of the National Conference on Hydraulic Engineering, ASCE, Buffalo, NY, USA, 1–5 Aug.; 2, 1257–1262.
- Bickley W. G. (1941) Formulae for numerical differentiation, Math. Gaz., 25(263), 19–27.
- Bina K., Rikhtehgarmashhad S., Hosseini K., Karami H. (2024) Numerical estimation of discharge coefficient for non-circular bottom intake racks, Appl. Water Sci., 14(103), doi:10.1007/s13201-024-02164-9.
- Boussinesq J. (1877) Essai Sur la Théorie des Eaux Courantes [Essay on the Theory of Water Flow], Mémoires Présentés par Divers Savantsà l’Académie des Sciences, Paris, 23(1), 1–680 [in French].
- Camp T. R. (1940) Lateral spillway channels, Trans. ASCE, 195(1), 606–617.
- Carrillo J. M., Castillo L. G., García J. T., Sordo-WardÁ. (2018) Considerations for the design of bottom intake systems, J. Hydroinform., 20, 232–245.
- Castro-Orgaz O., Hager W. H. (2011) Spatially-varied open-channel flow equations with vertical inertia, J. Hydraul. Res., 49(5), 667–675.
- Chan S. N., Wong C. K. C., Lee J. H. W. (2018) Hydraulics of air–water flow in a supercritical bottom rack intake, J. Hydro-Environ. Res., 21, 60–75.
- Chow V. T. (1959) Open-Channel Hydraulics; McGraw-Hill: New York, NY, USA.
- Favre H. (1933) Contributionà l’étude des courants liquides [Contribution to the study of liquid flows], Rascher et Cie, Zürich, Switzerland [in French].
- Hager W. H., Hager K. (1985) Streamline curvature effects in distribution channels, Proc. Instn. Mech. Engrs., 199(C3), 165–172.
- Hansen D. (1992) The Behavior of Flow through Rockfill Dams, Ph.D. Thesis, University of Ottawa, Ottawa, ON, Canada.
- Kells J. A. (1993) Spatially-varied flow over rockfill embankments, Can. J. Civ. Eng., 20(5), 820–827.
- Li W. H. (1955) Open channels with non-uniform discharge, Trans. ASCE, 120(1), 255–274.
- Liggett J. A. (1959) Unsteady Open-Channel Flow with Lateral Inflow, Technical Report No. 2, Department of Civil Engineering, Stanford University, Stanford, CA, USA.
- Montes J. S. (1998) Hydraulics of Open-Channel Flow; ASCE Press: Reston, VA, USA.
- Mostkow M. A. (1957) Sur le calcul des grilles de prise d’eau [Theoretical study of a bottom type water intake], La Houille Blanche, 43(4), 570–580 [in French].
- Nakagawa H. (1969) On hydraulic performance of bottom diversion works, Bulletin of the Disaster Prevention Research Institute, Kyoto University, 18(3), 29–48.
- Oldenziel D. M., Brink W. E. (1974) Influence of suction and blowing on entrainment of sand particles, J. Hydraul. Div., 100(HY7), 935–949.
- Parkin A. K., Trollope D. H., Lawson J. D. (1966) Rockfill structures subject to water flow, J. Soil Mech. Found. Div., 92(SM6), 135–151.
- Polubarinova-Kochina P. Ya. (1962) Theory of Groundwater Movement, Princeton University Press: Princeton, NJ, USA.
- Roshanfekr A. (2013) Contributions to the Hydraulics of Flow through Rockfill Structures, Ph.D. Thesis, Dalhousie University, Halifax, NS, Canada.
- Sharp B. B., James J. P. (1962) Spatially-varied flow at the toe of a rockfill slope, In: Proceedings of the 1st Australasian Conference on Hydraulics and Fluid Mechanics, Perth, Australia, 6–13 Dec., 279–292.
- Strickler A. (1923) Beitr¨age zur Frage der Geschwindigkeitsformel und der Rauhigkeitszahlen für Ströme, Kan¨ale und geschlossene Leitungen [Contributions to the Question of a Velocity Formula and Roughness Data for Streams, Channels and Closed Pipelines], Nr. 16, Mitteilungen des Amtes für Wasserwirtschaft, Eidgenössisches Departement des Innern, Bern, Switzerland [in German].
- Tennekes H., Lumley J. L. (1972) A First Course in Turbulence; MIT Press: Cambridge, MA, USA.
- Turcotte D. L. (1960) A sub-layer theory for fluid injection into incompressible turbulent boundary layer, J. Aerosp.Sci., 27(9), 675–678.
- Utami T., Nakagawa H. (1967) Varied flow in open channel with bottom diversion racks (I), Bulletin of the Disaster Prevention Research Institute, Kyoto University, 10(B), 183–198 [in Japanese].
- Utami T., Nakagawa H. (1968) Varied flow in open channel with bottom diversion racks (II), Bulletin of the Disaster Prevention Research Institute, Kyoto University, 11(B), 233–248 [in Japanese].
- van Gent M. R. A. (1995) Wave Interaction with Permeable Coastal Structures, Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands.
- Yen B. C., Wenzel H. G. (1970) Dynamic equation for steady spatially-varied flow, J. Hydraul. Div., 96(HY3), 801–814.
- Zerihun Y. T. (2015) Numerical simulation of flow in open channels with bottom intake racks, Water Util. J., 11, 49–61.
- Zerihun Y. T. (2016) Modeling free-surface flow with curvilinear streamlines by a non-hydrostatic model, J. Hydrol. Hydromech., 64(3), 281–288.
- Zerihun Y. T. (2019) On steady two-dimensional free-surface flows with spatially-varied discharges, Slovak J. Civ. Eng., 27(3), 1–11.
- Zerihun Y. T. (2025) Investigating the problems of unconfined non-Darcy flows through embankment dams using a depth-averaged model, Slovak J. Civ. Eng., 33(2), 36–45.
Language: English
Page range: 1 - 20
Submitted on: Jan 30, 2026
Published on: Aug 3, 2026
Published by: Polish Academy of Sciences, Institute of Hydro-Engineering
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
Related subjects:
© 2026 Yebegaeshet T. Zerihun, published by Polish Academy of Sciences, Institute of Hydro-Engineering
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.