1,616
Views
4
CrossRef citations to date
0
Altmetric
Research papers

Maximum energy dissipation to explain velocity fields in shallow reservoirs

ORCID Icon, , , & ORCID Icon
Pages 221-230 | Received 11 Jul 2016, Accepted 24 Jan 2017, Published online: 28 Feb 2017

References

  • Camnasio, E., Erpicum, S., Archambeau, P., Pirotton, M., & Dewals, B. (2014). Prediction of mean and turbulent kinetic energy in rectangular shallow reservoirs. Engineering Applications of Computational Fluid Mechanics, 8(4), 586–597. doi: 10.1080/19942060.2014.11083309
  • Camnasio, E., Erpicum, S., Orsi, E., Pirotton, M., Schleiss, A. J., & Dewals, B. (2013). Coupling between flow and sediment deposition in rectangular shallow reservoirs. Journal of Hydraulic Research, 51(5), 535–547. doi: 10.1080/00221686.2013.805311
  • Camnasio, E., Orsi, E., & Schleiss, A. J. (2011). Experimental study of velocity fields in rectangular shallow reservoirs. Journal of Hydraulic Research, 49(3), 352–358. doi: 10.1080/00221686.2011.574387
  • Carnot, S. (1824). Réflexions sur la puissance motrice du feu et sur les machines propres a développer cette puissance. Paris: Bachelier.
  • Choufi, L., Kettab, A., & Schleiss, A. J. (2014). Bed roughness effect on flow field in rectangular shallow reservoir [effet de la rugosité du fond d'un réservoir rectangulaire à faible profondeur sur le champ d'écoulement]. La Houille Blanche, 5, 83–92. doi: 10.1051/lhb/2014054
  • Dewals, B., Erpicum, S., Archambeau, P., & Pirotton, M. (2012). Experimental study of velocity fields in rectangular shallow reservoirs. Journal of Hydraulic Research, 50(4), 435–436. doi: 10.1080/00221686.2012.702856
  • Dewals, B. J., Kantoush, S. A., Erpicum, S., Pirotton, M., & Schleiss, A. J. (2008). Experimental and numerical analysis of flow instabilities in rectangular shallow basins. Environmental Fluid Mechanics, 8(1), 31–54. doi: 10.1007/s10652-008-9053-z
  • Dominic, J. A., Aris, A. Z., Sulaiman, W. N. A., & Tahir, W. Z. W. M. (2016). Discriminant analysis for the prediction of sand mass distribution in an urban stormwater holding pond using simulated depth average flow velocity data. Environmental Monitoring and Assessment, 188(3), 1–15. doi: 10.1007/s10661-016-5192-8
  • Dufresne, M., Dewals, B. J., Erpicum, S., Archambeau, P., & Pirotton, M. (2010a). Classification of flow patterns in rectangular shallow reservoirs. Journal of Hydraulic Research, 48(2), 197–204. doi: 10.1080/00221681003704236
  • Dufresne, M., Dewals, B. J., Erpicum, S., Archambeau, P., & Pirotton, M. (2010b). Experimental investigation of flow pattern and sediment deposition in rectangular shallow reservoirs. International Journal of Sediment Research, 25(3), 258–270. doi: 10.1016/S1001-6279(10)60043-1
  • Dufresne, M., Dewals, B. J., Erpicum, S., Archambeau, P., & Pirotton, M. (2011). Numerical investigation of flow patterns in rectangular shallow reservoirs. Engineering Applications of Computational Fluid Mechanics, 5(2), 247–258. doi: 10.1080/19942060.2011.11015368
  • Hergarten, S., Winkler, G., & Birk, S. (2014). Transferring the concept of minimum energy dissipation from river networks to subsurface flow patterns. Hydrology and Earth System Sciences, 18(10), 4277–4288. doi: 10.5194/hess-18-4277-2014
  • Howard, A. D. (1990). Theoretical model of optimal drainage networks. Water Resources Research, 26(9), 2107–2117. doi: 10.1029/WR026i009p02107
  • Kantoush, S. A. (2008). Experimental study on the influence of the geometry of shallow reservoirs on flow patterns and sedimentation by suspended sediments (PhD thesis 4048). EPFL Lausanne, Switzerland.
  • Kantoush, S. A., Bollaert, E., & Schleiss, A. J. (2008). Experimental and numerical modelling of sedimentation in a rectangular shallow basin. International Journal of Sediment Research, 23(3), 212–232. doi: 10.1016/S1001-6279(08)60020-7
  • Kleidon, A. (2016). Thermodynamic foundations of the earth system. Cambridge: Cambridge University Press.
  • Kleidon, A., & Renner, M. (2013). Thermodynamic limits of hydrologic cycling within the earth system: Concepts, estimates and implications. Hydrology and Earth System Sciences, 17(7), 2873–2892. doi: 10.5194/hess-17-2873-2013
  • Kleidon, A., Zehe, E., Ehret, U., & Scherer, U. (2013). Thermodynamics, maximum power, and the dynamics of preferential river flow structures at the continental scale. Hydrology and Earth System Sciences, 17(1), 225–251. doi: 10.5194/hess-17-225-2013
  • Langbein, W., & Leopold, L. (1966). River meanders – theory of minimum variance (Tech. Rep. No. 422-H). Washington, DC: USGS.
  • Lorenz, R. D., Lunine, J. I., Withers, P. G., & McKay, C. P. (2001). Titan, Mars and Earth: Entropy production by latitudinal heat transport. Geophysical Research Letters, 28, 415–418. doi: 10.1029/2000GL012336
  • Michalec, B. (2014). The use of modified annandale's method in the estimation of the sediment distribution in small reservoirs: A case study. Water (Switzerland), 6(10), 2993–3011.
  • Paltridge, G. W. (1979). Climate and thermodynamic systems of maximum dissipation. Nature, 279, 630–631. doi: 10.1038/279630a0
  • Peltier, Y., Erpicum, S., Archambeau, P., Pirotton, M., & Dewals, B. (2014). Experimental investigation of meandering jets in shallow reservoirs. Environmental Fluid Mechanics, 14(3), 699–710. doi: 10.1007/s10652-014-9339-2
  • Peng, Y., Zhou, J. G., & Burrows, R. (2011). Modeling free-surface flow in rectangular shallow basins by using lattice boltzmann method. Journal of Hydraulic Engineering, 137(12), 1680–1685. doi: 10.1061/(ASCE)HY.1943-7900.0000470
  • Potter, M. C., Wiggert, D. C., Hondzo, M., Shih, T. I. P., & Chaudhry, K. K. (2010). Mechanics of fluids (3rd ed.). Stamford, CT: Cengage Learning.
  • Rinaldo, A., Rodríguez-Iturbe, I., Rigon, R., Bras, R. L., Ijjasz-Vasquez, E., & Marani, A. (1992). Minimum energy and fractal structures of drainage networks. Water Resources Research, 28(9), 2183–2195. doi: 10.1029/92WR00801
  • Rodriguez-Iturbe, I., Rinaldo, A., Rigon, R., Bras, R. L., Ijjasz-Vasquez, E., & Marani, A. (1992). Fractal structures as least energy patterns: The case of river networks. Geophysical Research Letters, 19(9), 889–892. doi: 10.1029/92GL00938
  • Rodríguez-Iturbe, I., Rinaldo, A., Rigon, R., Bras, R. L., Marani, A., & Ijjász-Väsquez, E. (1992). Energy dissipation, runoff production, and the three-dimensional structure of river basins. Water Resources Research, 28(4), 1095–1103. doi: 10.1029/91WR03034
  • Secher, M., Hervouet, J. M., Tassi, P., Valette, E., & Villaret, C. (2014). Numerical modelling of two-dimensional flow patterns in shallow rectangular basins. In P. Gourbesville, J. Cunge, & G. Caignaert (Eds.), Advances in hydroinformatics: Simhydro 2012 – new frontiers of simulation (pp. 499–510). Singapore: Springer Singapore.
  • Tarpagkou, R., & Pantokratoras, A. (2013). Cfd methodology for sedimentation tanks: The effect of secondary phase on fluid phase using dpm coupled calculations. Applied Mathematical Modelling, 37(5), 3478–3494. doi: 10.1016/j.apm.2012.08.011
  • Tsavdaris, A., Mitchell, S., & Williams, J. B. (2015). Computational fluid dynamics modelling of different detention pond configurations in the interest of sustainable flow regimes and gravity sedimentation potential. Water and Environment Journal, 29(1), 129–139. doi: 10.1111/wej.12086
  • Zehe, E., Ehret, U., Blume, T., Kleidon, A., Scherer, U., & Westhoff, M. (2013). A thermodynamic approach to link self-organization, preferential flow and rainfall–runoff behaviour. Hydrology and Earth System Sciences, 17(11), 4297–4322. doi: 10.5194/hess-17-4297-2013
  • Zhou, J. G., Liu, H., Shafiai, S., Peng, Y., & Burrows, R. (2010). Lattice boltzmann method for open-channel flows. Proceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics, 163(4), 243–249.