Transitional flow at standard sluice gate

REFERENCES

• Benjamin, T.B. (1956). On the flow in channels when rigid obstacles are placed in the stream. J. Fluid Mech. 1, 227–248. doi: 10.1017/S0022112056000147
   Web of Science ®Google Scholar
• Benjamin, T.B., Lighthill, M.J. (1954). On cnoidal waves and bores. Proc. R. Soc. Lond. A 224, 448–460. doi: 10.1098/rspa.1954.0172
   Web of Science ®Google Scholar
• Bose, S.K., Dey, S. (2007). Curvilinear flow profiles based on Reynolds averaging. J. Hydraulic Eng. 133(9), 1074–1079. doi: 10.1061/(ASCE)0733-9429(2007)133:9(1074)
   Web of Science ®Google Scholar
• Bose, S.K., Dey, S. (2009). Reynolds averaged theory of turbulent shear flows over undulating beds and formation of sand waves. Phys. Rev. E 80(036304), 1–9.
   Google Scholar
• Boussinesq, J. (1877). Essai sur la théorie des eaux courantes [Memoir on the theory of flowing water]. Mémoires présentés par divers savants à l'Académie des Sciences, Paris 23, 1–680 (in French).
   Google Scholar
• Castro-Orgaz, O., Hager, W.H. (2009). Curved streamline transitional flow from mild to steep slopes. J. Hydraulic Res. 47(5), 574–584. doi: 10.3826/jhr.2009.3656
   Web of Science ®Google Scholar
• Castro-Orgaz, O., Hager, W.H. (2013). Velocity profile approximations for two-dimensional potential channel flow. J. Hydraulic Res. 51, 645–655. doi: 10.1080/00221686.2013.809387
   Web of Science ®Google Scholar
• Cheng, A.H.-D., Liggett, J.A., Liu, P.L.-F. (1981). Boundary calculations of sluice and spillway flows. J. Hydraulics Div. ASCE, 107(HY10), 1163–1178.
   Google Scholar
• Fangmeier, D.D., Strelkoff, T.S. (1968). Solution for gravity flow under a sluice gate. J. Eng. Mech. Div. 94(EM1), 153–176.
   Google Scholar
• Fawer, C. (1937). Etude de quelques écoulements permanents à filets courbes [Study of some steady flows with curved streamlines]. PhD thesis. Université de Lausanne, Lausanne, Switzerland (in French).
   Google Scholar
• Finnie, J.I., Jeppson, R.W. (1991). Solving turbulent flows using finite elements. J. Hydraulic Eng. 117(11), 1513–1530. doi: 10.1061/(ASCE)0733-9429(1991)117:11(1513)
   Web of Science ®Google Scholar
• Hager, W.H. (1999). Cavity flow from a nearly horizontal pipe. Int. J. Multiphase Flow 25(2), 349–364. doi: 10.1016/S0301-9322(98)00046-9
   Web of Science ®Google Scholar
• Hager, W.H., Hutter, K. (1984). On pseudo-uniform flow in open channel hydraulics. Acta Mech. 53(3–4), 183–200. doi: 10.1007/BF01177950
   Web of Science ®Google Scholar
• Henry, H.R. (1950). A study of flow from a submerged sluice gate. PhD thesis. Department of Mechanics and Hydraulics, State University of Iowa, Iowa City, IA.
   Google Scholar
• Iwasa, Y. (1955). Undular jump and its limiting conditions for existence. Proc. 5th Japan Natl. Congress Applied Mech. II-14, 315–319.
   Google Scholar
• Keutner, C. (1935). Die Strömungsvorgänge an unterströmten Schützentafeln mit scharfen und abgerundeten Unterkanten [The flow features at gates with sharp and rounded crests]. Wasserkraft und Wasserwirtschaft 30(2), 16–21 (in German).
   Google Scholar
• Marchi, E. (1963). Contributo allo studio del risalto ondulato [Contribution to the study of the undular hydraulic jump]. Giornale del Genio Civile 101(9), 466–476 (in Italian).
   Google Scholar
• Matthew, G.D. (1991). Higher order one-dimensional equations of potential flow in open channels. Proc. ICE 91(3), 187–201. doi: 10.1680/iicep.1991.14974
   Google Scholar
• Montes, J.S. (1997). Irrotational flow and real fluid effects under planar sluice gates. J. Hydraulic Eng. 123(3), 219–232. doi: 10.1061/(ASCE)0733-9429(1997)123:3(219)
   Web of Science ®Google Scholar
• Montes, J.S. (1998). Hydraulics of open channel flow. ASCE Press, Reston, VA.
   Google Scholar
• Ohtsu, I., Yasuda, Y. (1994). Characteristics of supercritical flow below sluice gate. J. Hydraulic Eng. 120(3), 332–346. doi: 10.1061/(ASCE)0733-9429(1994)120:3(332)
   Web of Science ®Google Scholar
• Rajaratnam, N., Humphries, J.A. (1982). Free flow upstream of vertical sluice gates. J. Hydraulic Res. 20(5), 427–436. doi: 10.1080/00221688209499471
   Web of Science ®Google Scholar
• Roth, A., Hager, W.H. (1999). Underflow of standard sluice gate. Exp. Fluids 27(4), 339–350. doi: 10.1007/s003480050358
   Web of Science ®Google Scholar
• Rouse, H. (1950). Engineering hydraulics. Wiley, New York.
   Google Scholar
• Serre, F. (1953). Contribution à l’étude des écoulements permanents et variables dans les canaux [Contribution to the study of steady and varied flows in channels]. La Houille Blanche 8(3), 830–872 (in French). doi: 10.1051/lhb/1953058
   Google Scholar
• Southwell, R.V., Vaisey, G. (1946). Relaxation methods applied to engineering problems XII: Fluid motions characterized by free streamlines. Phil. Trans. R. Soc. Lond. A 240(815), 117–161. doi: 10.1098/rsta.1946.0004
   Web of Science ®Google Scholar
• Valiani, A. (1997). Linear and angular momentum conservation in hydraulic jump. J. Hydraulic Res. 35(3), 323–354. doi: 10.1080/00221689709498416
   Web of Science ®Google Scholar