577
Views
14
CrossRef citations to date
0
Altmetric
Research papers

Free surface intake vortices: scale effects due to surface tension and viscosity

, , &
Pages 513-522 | Received 17 Apr 2013, Accepted 09 Mar 2014, Published online: 10 Jun 2014

References

  • Andersen, A., Bohr, T., Stenum, B., Rasmussen, J.J., Lautrup, B. (2006). The bathtub vortex in a rotating container. J. Fluid Mech. 556, 121–146. doi: 10.1017/S0022112006009463
  • Anwar, H.O. (1969). Turbulent flow in a vortex. J. Hydraulic Res. 7(1), 1–29. doi: 10.1080/00221686909500252
  • Anwar, H.O. (1983). The non-dimensional parameters of free-surface vortices measured for horizontal and vertically inverted intakes. Houille Blanche 1, 11–25. doi: 10.1051/lhb/1983001
  • Anwar, H.O., Amphlett, M.B. (1980). Vortices at vertically inverted intake. J. Hydraulic Res. 18(2), 123–134. doi: 10.1080/00221688009499556
  • Beninati, M.L., Marshall, J.S. (2005). External turbulence interaction with a columnar vortex. J. Fluid Mech. 540, 221–245. doi: 10.1017/S002211200500580X
  • Bradshaw, P. (1973). Effects of streamline curvature on turbulent flow. AGARDograph No. 169.
  • Burgers, J.M. (1948). A mathematical model illustrating the theory of turbulence Adv. Appl. Mech. 1, 171–199. doi: 10.1016/S0065-2156(08)70100-5
  • Chang, E., Prosser, M.J. (1987). Basic results of theoretical and experimental work. In Swirling flow problems at intakes. J. Knauss, ed. A.A. Balkema, Rotterdam, NL, 39–55.
  • Daggett, L.L., Keulegan, G.H. (1974). Similitude in free-surface vortex formations. J. Hydraulic Div. 100(HY11), 1565–1581.
  • Einstein, H.A., Li, H. (1951). Steady vortex flow in a real fluid. Proc. Heat Trans. Fluid Mech. Inst. 4, 33–43.
  • Gulliver, J.S. (1988). Discussion of free-surface air core vortex. J. Hydraulic Div. 114(4), 447–449. doi: 10.1061/(ASCE)0733-9429(1988)114:4(447)
  • Hecker, G. (1981). Model-prototype comparison of free surface vortices. J. Hydraulic Div. 107(HY10), 1243–1259.
  • Hite, J.E., Mih, W.C. (1994). Velocity of air-core vortices at hydraulic intakes. J. Hydraulic Eng. 120(3), 284–297. doi: 10.1061/(ASCE)0733-9429(1994)120:3(284)
  • Ito, K., Sakai, T., Eguchi, Y., Monji, H., Ohshima, H., Uchibori, A., Xu, Y. (2010). Improvement of gas entrainment prediction method – Introduction of surface tension effect. J. Nucl. Sci. Technol. 47(9), 771–778. doi: 10.1080/18811248.2010.9711653
  • Jacquin, L., Pantano, C. (2002). On the persistence of trailing vortices. J. Fluid Mech. 471, 159–168. doi: 10.1017/S0022112002002161
  • Jain, A.K., Raju, K.G.R., Garde, R.J. (1978). Vortex formation at vertical pipe intakes. J. Hydraulic Div. 104(HY10), 1429–1445.
  • Jiming, M., Yuanbo, L., Jitang, H. (2000). Minimum submergence before double-entrance pressure intakes. J. Hydraulic Eng. 126(8), 628–631. doi: 10.1061/(ASCE)0733-9429(2000)126:8(628)
  • Knauss, J. (1987). Prediction of critical submergence. In Swirling flow problems at intakes, J. Knauss, ed. Balkema, Rotterdam, NL, 57–76.
  • Laplace, P.S. (1880). Oeuvres complètes de Laplace, Vol. 4. Gauthier-Villars, Paris, 419–498.
  • Möller, G., Meyer, A., Detert, M., Boes, R. (2012). Lufteintragsrate durch Einlaufwirbel – Modellfamilie nach Froude. Proc. Int. Conf. Internationales Wasserbausymposium, Graz, AT. G. Zenz, ed. verlag des Technischen Universität, 371–378.
  • Montilla, G., Marcano, A., Castro, C. (2004). Air entrainment at Guri Dam intake operating at low heads. Proc. Int. Conf. Hydraulics of dams and river structures, Tehran, F. Yazdandoost, J. Attari, eds. Balkema, Rotterdam, NL, 53–60.
  • Odgaard, A. (1986). Free-surface air core vortex. J. Hydraulic Eng. 112(7), 610–620. doi: 10.1061/(ASCE)0733-9429(1986)112:7(610)
  • Padmanabhan, M., Hecker, G.E. (1984). Scale effects in pump sump models. J. Hydraulic Eng. 110(HY11), 1540–1556. doi: 10.1061/(ASCE)0733-9429(1984)110:11(1540)
  • Quick, M. (1962). Scale relationships between geometrically similar free spiral vortices, Pt. 2. Civil Eng. Public Works Rev. 57, 1319–1320.
  • Rao, S., Diwanji, V., Srivastava, Y. (1997). Discussion of critical submergence for intakes in open channel flow. J. Hydraulic Eng. 123(6), 588–589. doi: 10.1061/(ASCE)0733-9429(1997)123:6(588)
  • Spalart, P.R. (1998). Airplane trailing vortices. Ann. Rev. Fluid Mech. 30, 107–138. doi: 10.1146/annurev.fluid.30.1.107
  • Squire, H.B. (1965). The growth of a vortex in turbulent flow. Aeronaut. Quart. 16(Pt.3), 302–306.
  • Stepanyants, Y., Yeoh, G. (2008a). Burgers–Rott vortices with surface tension. Z. Angew. Math. Phys. 59, 1057–1068. doi: 10.1007/s00033-008-7071-9
  • Stepanyants, Y., Yeoh, G. (2008b). Stationary bathtub vortices and a critical regime of liquid discharge. J. Fluid Mech. 604, 77–98. doi: 10.1017/S0022112008001080
  • Suerich-Gulick, F. (2013). Axial stretching, viscosity, surface tension and turbulence in free surface vortices at low-head hydropower intakes. PhD Thesis. McGill University, Montreal.
  • Suerich-Gulick, F., Gaskin, S.J., Parkinson, E., Villeneuve, M. (2014a). The characteristics of free surface vortices at low-head hydropower intakes. J. Hydraulic Eng. 140, 291–299. doi: 10.1061/(ASCE)HY.1943-7900.0000826
  • Suerich-Gulick, F., Gaskin, S.J., Villeneuve, M., Parkinson, E. (2014b). Free surface intake vortices: Theoretical model and measurements. J. Hydraulic Res. 10.1080/00221686.2014.896425
  • Tastan, K., Yıldırım, N. (2010). Effects of dimensionless parameters on air-entraining vortices. J. Hydraulic Res. 48(1), 57–64. doi: 10.1080/00221680903566018
  • Yıldırım, N., Jain, S. (1981). Surface tension effect on profile of a free vortex. J. Hydraulic Div. 107(HY1), 132–136.
  • Yıldırım, N., Kocabaş, F. (1995). Critical submergence for inta- kes in open channel flow. J. Hydraulic Eng. 121(12), 900–905. doi: 10.1061/(ASCE)0733-9429(1995)121:12(900)
  • Zeman, O. (1995). The persistence of trailing vortices: A modeling study. Phys. Fluids 7(1), 135–143. doi: 10.1063/1.868734

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.