Toward two-phase flow modeling of nondilute sediment transport in open channels

Journal of Geophysical Research: Earth Surface

Volumn 115, Issue 3, 2010, Pages

  Jha, Sanjeev K ^a,b   Bombardelli, Fabián A ^a  

^a University of California Davis   (United States)

^b CALIFORNIA DEPARTMENT OF WATER RESOURCES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL HYDRAULICS; COMPLEXITY; COMPUTER SIMULATION; CONCENTRATION (COMPOSITION); DISPERSION; EXPERIMENTAL STUDY; FLOW MODELING; NUMERICAL MODEL; OPEN CHANNEL FLOW; SEDIMENT TRANSPORT; SUSPENDED SEDIMENT; TURBULENCE; TWO PHASE FLOW; VISCOSITY;

EID: 77955536473     PISSN: None     EISSN: 21699011     Source Type: Journal    
DOI: 10.1029/2009JF001347     Document Type: Article

References (106)

1. Abdel-Fattah, S., A. Amin, and L. van Rijn (2004), Sand transport in Nile River, Egypt, J. Hydraul. Eng., 130(6), 488-500, doi:10.1061/(ASCE) 0733-9429(2004)130:6(488).
2. Ahmed, A., and S. Elghobashi (2000), On the mechanisms of modifying the structure of turbulent homogeneous shear flows by disperse particles, Phys. Fluids, 12(11), 2906-2930, doi:10.1063/1.1308509.
3. Amoudry, L., T. J. Hsu, and P. L. Liu (2005), Schmidt number and nearbed boundary condition effect on a two-phase dilute sediment transport, J. Geophys. Res., 110, C09003, doi:10.1029/2004JC002798. (Pubitemid 41594884)
4. Amoudry, L., T. J. Hsu, and L. F. Liu (2008), Two-phase model for sand transport in sheet flow regime, J. Geophys. Res., 113, C03011, doi:10.1029/2007JC004179.
5. Asano, T. (1995), Sediment transport under sheet-flow conditions, J. Waterw. Port Coastal Ocean Eng., 121(5), 239-246, doi:10.1061/ (ASCE)0733-950X(1995)121:5(239).
6. Balzer, G., A. Boelle, and O. Simonin (1996), Eulerian gas-solid flow modelling of dense fluidized bed, in Fluidization VIII: Proceedings of the Eighth Engineering Foundation Conference on Fluidization, May 14-19, 1995, Tours, France, pp. 1125-1134, Eng. Found., New York.
7. Barton, J. R., and P. N. Lin (1955), A study of the sediment transport in alluvial streams, Rep. 55JRB2, Civ. Eng. Dep., Colo. State Univ., Fort Collins.
8. Benavides, A., and B. van Wachem (2008), Numerical simulation and validation of dilute turbulent gas-particle flow with inelastic collisions and turbulence modulation, Powder Technol., 182(2), 294-306.
9. Bombardelli, F. A. (2003), Characterization of coherent structures from parallel, LES computations of wandering effects in bubble plumes, paper presented at World Water and Environmental Resources Congress, Am. Soc. Civ. Eng., Philadelphia, Pa.
10. Bombardelli, F. A. (2004), Turbulence in multiphase models for aeration bubble plumes, Ph.D. thesis, Dep. of Civ. and Environ. Eng., Univ. of Ill. at Urbana-Champaign, Urbana.
11. Bombardelli, F. A., and S. K. Jha (2009), Hierarchical modeling of the dilute transport of suspended sediment in open channels, Environ. Fluid Mech., 9(2), 207-235, doi:10.1007/s10652-008-9091-6.
12. Bombardelli, F. A., G. C. Buscaglia, and M. H. García (2003), Parallel computations of the dynamic behavior of bubble plumes, in ASME 2003 Pressure Vessels and Piping Conference, pp. 185-202, Am. Soc. of Mech. Eng., Cleveland, Ohio.
13. Bombardelli, F. A., G. C. Buscaglia, C. R. Rehmann, L. E. Rincón, and M. H. García (2007), Modeling and scaling of aeration bubble plumes: A two-phase flow analysis, J. Hydraul. Res., 45(5), 617-630.
14. Brennen, C. E. (2005), Fundamentals of Multiphase Flow, 368 pp., Cambridge Univ. Press, Cambridge, U. K.
15. Buscaglia, G. C., F. A. Bombardelli, and M. H. García (2002), Numerical modeling of large scale bubble plumes accounting for mass transfer effects, Int. J. Multiphase Flow, 28, 1763-1785, doi:10.1016/S0301-9322(02) 00075-7. (Pubitemid 35426715)
16. Businger, J. A., J. C. Wyngaard, Y. Izumi, and E. F. Bradley (1971), Flux profile relationships in the atmospheric surface layer, J. Atmos. Sci., 28(2), 181-189, doi:10.1175/1520-0469(1971)028<0181:FPRITA>2.0.CO;2.
17. Cao, Z., L. Wei, and J. Xie (1995), Sediment-laden flow in open channels from two-phase flow viewpoint, J. Hydraul. Eng., 121(10), 725-735, doi:10.1061/(ASCE)0733-9429(1995)121:10(725). (Pubitemid 26463383)
18. Cellino, M. (1997), Experimental study of suspension flow in open channels, Ph.D thesis, Civ. Eng. Dep., Ecole Polytechnique Fédé rale de Lausanne, Lausanne, Switzerland.
19. Cellino, M., and W. H. Graf (2002), Suspension flow in open channels: Experimental study, J. Hydraul. Res., 15, 435-447.
20. Chauchat, J. (2007), Contribution to two-phase flow modeling for sediment transport in estuarine and coastal zones (in French), Ph.D. thesis, Univ. of Caen, Caen, France.
21. Chauchat, J., and S. Guillou (2008), On turbulence closure for two-phase sediment-laden flow models, J. Geophys. Res., 113, C11017, doi:10.1029/ 2007JC004708.
22. Chen, C. P., and P. E. Wood (1986), Turbulence closure modeling of the dilute gas-particle axisymmetric jet, AIChE J., 32(1), 163-166, doi:10.1002/aic.690320121.
23. Cheng, N. S. (1997), Effect of concentration on settling velocity of sediment particles, J. Hydraul. Eng., 123(8), 728-731, doi:10.1061/ (ASCE)0733-9429(1997)123:8(728).
24. Coleman, N. L. (1970), Flume studies of the sediment transfer coefficient, Water Resour. Res., 6, 801-809, doi:10.1029/WR006i003p00801.
25. Coleman, N. L. (1986), Effects of suspended sediment on the open-channel distribution, Water Resour. Res., 22, 1377-1384, doi:10.1029/ WR022i010p01377.
26. Crowe, C. T., M. Sommerfeld, and Y. Tsuji (1998), Multiphase Flows With Droplets and Particles, 496 pp., CRC Press, Boca Raton, Fla.
27. Dietrich, W. E. (1982), Settling velocity of natural particles, Water Resour. Res., 18, 1615-1626, doi:10.1029/WR018i006p01615.
28. Dong, P., and K. Zhang (1999), Two-phase flow modeling of sediment motions in oscillatory sheet flow, Coastal Eng., 36, 87-109, doi:10.1016/S0378-3839(98)00052-0. (Pubitemid 29270930)
29. Drew, D. A. (1975), Turbulent sediment transport over a flat bottom using momentum balance, J. Appl. Mech., 42, 38-44.
30. Drew, D. A. (1983), Mathematical modeling of two-phase flow, Annu. Rev. Fluid Mech., 15, 261-291, doi:10.1146/annurev.fl.15.010183.001401.
31. Drew, D., and S. Passman (1999), Theory of Multicomponent Fluids, Appl. Math. Sci., vol.135, 308 pp., Springer, New York.
32. Einstein, H. A., and N. Chien (1955), Effects of heavy sediment concentration near the bed on velocity and sediment distribution, MRD Sed. Ser. Rep. 8, Univ. of Calif., Berkeley.
33. Elghobashi, S. (1991), Particle-laden turbulent flows: Direct numerical simulation and closure models, Appl. Sci. Res., 48, 301-314, doi:10.1007/BF02008202.
34. Elghobashi, S. (1994), On predicting particle-laden turbulent flows, Appl. Sci. Res., 52, 309-329, doi:10.1007/BF00936835.
35. Elghobashi, S., and T. W. Abou-Arab (1983), A two-equation turbulence model for two-phase flows, Phys. Fluids, 26, 931-938, doi:10.1063/ 1.864243.
36. Enwald, H., E. Peirano, and A. E. Almsted (1996), Eulerian two-phase flow theory applied to fluidization, Int. J. Multiphase Flow, 22, 21-66, doi:10.1016/S0301-9322(96)90004-X.
37. Fletcher, C. A. J. (1997), Computational Techniques for Fluid Dynamics, 256 pp., Springer, New York.
38. Ferziger, J. H., and M. Peric (2002), Computational Methods for Fluid Dynamics, 423 pp., Springer, New York.
39. García, M. H. (1999), Sedimentation and erosion hydraulics, in Hydraulic Design Handbook, edited by L. W. Mays, chap. 6, pp. 6.1-6113, McGraw-Hill, New York.
40. Garside, J., and M. R. Al-Dibouni (1977), Velocity-voidage relationships for fluidization and sedimentation in solid-liquid systems, Ind. Eng. Chem. Res. Process Des. Dev., 16(2), 206-214, doi:10.1021/ i260062a008.
41. Gelfenbaum, G., and J. D. Smith (1986), Experimental evaluation of a generalized suspended-sediment transport theory, in Shelf and Sandstones, Can. Soc. Pet. Geol. Mem., vol.11, edited by R. J. Knight and J. R. McLean, pp. 133-144, Calgary.
42. Ghoshal, K., and B. S. Mazumder (2005), Sediment-induced stratification in turbulent open-channel flow, Environmetrics, 16, 673-686, doi:10.1002/env.729. (Pubitemid 41539854)
43. Gioia, G., and F. A. Bombardelli (2002), Scaling and similarity in rough channel flows, Phys. Rev. Lett., 88(1), 014501, doi:10.1103/PhysRevLett. 88.014501.
44. González, A. E. (2008), Numerical modeling of sediment transport near the bed using a two-phase flow approach, Ph.D. thesis, Dep. of Civ. and Environ. Eng., Univ. of Calif., Davis.
45. Greimann, B. P., and F. M. Holly (2001), Two-phase flow analysis of concentration profiles, J. Hydraul. Eng., 127(9), 753-762, doi:10.1061/ (ASCE)0733-9429(2001)127:9(753).
46. Greimann, B. P., M. Muste, and F. M. Holly (1999), Two-phase formulation of suspended sediment transport, J. Hydraul. Res., 37, 479-500.
47. Hrenya, C. M., and J. L. Sinclair (1997), Effects of particle-phase turbulence in gas-solid flows, AIChE J., 43(4), 853-869, doi:10.1002/ aic.690430402.
48. Hsu, T., J. T. Jenkins, and P. L.-F. Liu (2003a), On two-phase sediment transport: Dilute flow, J. Geophys. Res., 108(C3), 3057, doi:10.1029/ 2001JC001276.
49. Hsu, T., H. Chang, and C. Hsieh (2003b), A two-phase flow model of wave-induced sheet flow, J. Hydraul. Res., 41(3), 299-310. (Pubitemid 36854795)
50. Hsu, T. J., J. T. Jenkins, and P. L.-F. Liu (2004), On two-phase sediment transport: Sheet flow of massive particles, Proc. R. Soc. A, 460(2048), 2223-2250, doi:10.1098/rspa.2003.1273. (Pubitemid 40268436)
51. Hunt, J. N. (1954), The turbulent transport of suspended sediment in open channels, Proc. R. Soc. A, London, 224(1158), 322-335, doi:10.1098/ rspa.1954.0161.
52. Jenkins, J. T., and D. M. Hanes (1998), Collisional sheet flows of sediment driven by a turbulent fluid, J. Fluid Mech., 370, 29-52, doi:10.1017/ S0022112098001840.
53. Jha, S. K. (2009). Theoretical and numerical modeling of suspended sediment transport in open channels using an Eulerian-Eulerian two-phase flow approach, Ph.D. thesis, Dep. of Civ. and Environ. Eng., Univ. of Calif., Davis.
54. Jha, S. K., and F. A. Bombardelli (2009), Two-phase modeling of turbulence in dilute sediment-laden, open-channel flows, Environ. Fluid Mech., 9(2), 237-266, doi:10.1007/s10652-008-9118-z.
55. Jiang, J., A. W. Law, and N. S. Cheng (2005), Two-phase analysis of vertical sediment laden jets, J. Eng. Mech., 131(3), 308-318, doi:10.1061/ (ASCE)0733-9399(2005)131:3(308).
56. Kobayashi, N., and S. N. Seo (1985), Fluid and sediment interaction over a plane bed, J. Hydraul. Eng., 111(6), 903-919, doi:10.1061/(ASCE)0733- 9429(1985)111:6(903).
57. Lees, B. J. (1981), Relationship between eddy viscosity of seawater and eddy diffusivity of suspended particles, Geo Mar. Lett., 1, 249-254, doi:10.1007/BF02462442.
58. Lewis, W. K., E. R. Gilliland, and W. C. Bauer (1949), Characteristic of fluidized particles, Ind. Eng. Chem., 41, 1104-1117, doi:10.1021/ ie50474a004.
59. Liu, H., and S. Sato (2006), A two-phase flow model for asymmetric sheetflow conditions, Coastal Eng., 53, 825-843, doi:10.1016/j.coastaleng. 2006.04.002.
60. Longo, S. (2005), Two-phase flow modeling of sediment motion in sheetflows above plane beds, J. Hydraul. Eng., 131(5), 366-379, doi:10.1061/ (ASCE)0733-9429(2005)131:5(366).
61. Lopez de Bertodano, M. A. (1998), Two fluid model for two-phase turbulent jets, Nucl. Eng. Des., 179, 65-74, doi:10.1016/S0029-5493(97) 00244-6.
62. Loth, E. (2000), Numerical approaches to dilute two-phase flow, Prog. Energy Combust. Sci., 26(3), 161-223, doi:10.1016/S0360-1285(99) 00013-1.
63. Lumley, J. L. (1978), Two-phase and non-Newtonian flows, in Turbulence, edited by P. Bradshaw, pp. 289-324, Springer, New York.
64. Lyn, D. A. (1988), A similarity approach to turbulent sediment-laden flows in open channels, J. Fluid Mech., 193, 1-26, doi:10.1017/ S0022112088002034.
65. Lyn, D. A. (1991), Resistance in flat-bed sediment-laden flows, J. Hydraul. Eng., 117(1), 94-114.
66. Lyn, D. A. (2008), Sedimentation Engineering: Theories, Measurements, Modeling and Practice, ASCE Manuals Rep. Eng. Pract., vol.110, edited by M. H. García, Am. Soc. of Civ. Eng., Reston, Va.
67. Mazumder, B. S., and K. Ghoshal (2006), Velocity and concentration profiles in uniform sediment-laden flow, Appl. Math. Model., 30, 164-176, doi:10.1016/j.apm.2005.03.015. (Pubitemid 41723076)
68. McTigue, D. F. (1981), Mixture theory for suspended sediment transport, J. Hydraul. Eng., 107(HY6), 659-673.
69. Mina, K. M., and S. Sato (2004), A transport model for sheet flow based on two-phase flow, Coastal Eng. J., 46(3), 329-367, doi:10.1142/ S0578563404001099.
70. Mitter, A., J. P. Malhotra, and H. T. Jadeja (2004), The two-fluid modeling of gas-particle transport phenomenon in confined systems considering inter particle collision effects, Int. J. Numer. Methods Heat Fluid Flow, 14(5), 579-605, doi:10.1108/09615530410539937. (Pubitemid 38947846)
71. Mueller, A. (1973), Turbulence measurement over a movable bed with sediment transport by laser anemometry, paper presented at 15th Congress, Int. Assoc. Hydraul. Res., Istanbul, Turkey.
72. Muste, M., and V. C. Patel (1997), Velocity profiles for particles and liquid in open-channel flow with suspended sediment, J. Hydraul. Eng., 123(9), 742-751, doi:10.1061/(ASCE)0733-9429(1997)123:9(742). (Pubitemid 28002557)
73. Muste, M., K. Fujita, I. Yu, and R. Ettema (2005), Two-phase versus mixed-flow perspective on suspended sediment transport in turbulent channel flows, Water Resour. Res., 41, W10402, doi:10.1029/ 2004WR003595.
74. Muste, M., I. Yu, K. Fujita, and R. Ettema (2009), Two-phase flow insights into open-channel flows with suspended particles of different densities, Environ. Fluid Mech., 9(2), 161-186, doi:10.1007/s10652-008-9102-7.
75. Nezu, I., and R. Azuma (2004), Turbulence characteristics and interaction between particles and fluid in particle-laden open channel flows, J. Hydraul. Eng., 130(10), 988-1001, doi:10.1061/(ASCE)0733-9429(2004) 130:10(988).
76. Nezu, I., and W. Rodi (1986), Open-channel flow measurements with a laser doppler anemometer, J. Hydraul. Eng., 112(5), 335-355, doi:10.1061/(ASCE)0733- 9429(1986)112:5(335).
77. Ni, J. R., G. Q. Wang, and A. G. L. Borthwick (2000), Kinetic theory for particles in dilute and dense solid-liquid flows, J. Hydraul. Eng., 126(12), 893-903, doi:10.1061/(ASCE)0733-9429(2000)126:12(893). (Pubitemid 32007477)
78. Nikora, V., and D. G. Goring (2002), Fluctuations of suspended-sediment concentration and turbulent sediment fluxes in an open-channel flow, J. Hydraul. Eng. 128 (2), 214-224, doi:10.1061/(ASCE)0733-9429(2002)128:2(214). (Pubitemid 34206999)
79. Niño, Y., and M. H. García (1998), Experiments on saltation of fine sand in water, J. Hydraul. Eng., 124(10), 1014-1025, doi:10.1061/(ASCE)0733-9429(1998)124:10(1014). (Pubitemid 29040870)
80. Nouri, J. M., J. H. Whitelaw, and M. Yianneskis (1987), Particle motion and turbulence in dense two-phase flows, Int. J. Multiphase Flow, 13(6), 729-739, doi:10.1016/0301-9322(87)90062-0. (Pubitemid 18561129)
81. Patankar, S. V. (1980), Numerical Heat Transfer and Fluid Flow, 197 pp., Taylor and Francis, Hemisphere, New York.
82. Prosperetti, A., and G. Tryggvason (2007), Computational Methods for Multiphase Flow, Cambridge Univ. Press, Cambridge, U. K., doi:10.1017/ CBO9780511607486.
83. Richardson, J. F., and W. N. Zaki (1954), Sedimentation and fluidization: Part 1, Trans. Inst. Chem. Eng., 32, 35-53.
84. Rodi, W. (1984), Turbulence Models and Their Application in Hydraulics. A State-of-the-Art Review, IAHR, Delft, Netherlands.
85. Rouse, H. (1937), Modern conception of the mechanics of turbulence, Trans. ASCE, 102, 463-543.
86. Schmeeckle, M., J. Nelson, J. Pittlick, and J. Bennett (2001), Interparticle collisions of natural sediment grains in water, Water Resour. Res., 37, 2377-2391, doi:10.1029/2001WR000531. (Pubitemid 32804538)
87. Shen, N., T. Tsuji, and Y. Morikawa (1989), Numerical simulation of gassolid two-phase flow in horizontal pipe, Jpn. Soc. Mech. Eng., 55, 2294-2301.
88. Smith, J. D., and S. R. McLean (1977), Spatially averaged flow over a wavy surface, J. Geophys. Res., 82(12), 1735-1746, doi:10.1029/ JC082i012p01735.
89. Squires, K. D., and J. K. Eaton (1994), Effect of selective modification of turbulence on two-equation models for particle-laden turbulent flows, J. Fluids Eng., 116, 778-784.
90. Sumer, B. M., A. Kozakiewicz, J. Fredsoe, and R. Deigaard (1996), Velocity and concentration profiles in sheet-flow layer of movable bed, J. Hydraul. Eng., 122, 549-558, doi:10.1061/(ASCE)0733-9429(1996)122:10(549).
91. Svensson, U. (1998), Program for boundary layers in the environmentsystem description and manual, SMHI Rep. Oceanogr. 24, Norrköping, Sweden.
92. Taggart, W. C., C. A. Yermoli, S. Montes, and A. T. Ippen (1972), Effects of sediment size and gradation on concentration profiles for turbulent flow, Rep. 152, Mass. Inst. of Technol., Cambridge.
93. Toorman, E. A. (2008), Vertical mixing in the fully developed turbulent layer of sediment-laden open-channel flow, J. Hydraul. Eng., 134(9), 1225-1235, doi:10.1061/(ASCE)0733-9429(2008)134:9(1225).
94. Tsai, C. H., and C. T. Tsai (2000), Velocity and concentration distributions of sediment-laden open channel flow, J. Am. Water Resour. Assoc., 36(5), 1075-1086, doi:10.1111/j.1752-1688.2000.tb05711.x.
95. Tsuji, Y., T. Morikawa, T. Tanaka, N. Nakatsukasa, and M. Nakatani (1987), Numerical simulation of gas-solid two-phase flow in a twodimensional horizontal channel, Int. J. Multiphase Flow, 13(5), 671-684, doi:10.1016/0301-9322(87)90044-9. (Pubitemid 18593241)
96. Umeyama, M. (1992), Vertical distribution of suspended sediment in uniform open-channel flow, J. Hydraul. Eng., 118(6), 936-941, doi:10.1061/(ASCE)0733-9429(1992)118:6(936).
97. Umeyama, M., and F. Gerritsen (1992), Velocity distribution in uniform sediment-laden flow, J. Hydraul. Eng., 118(2), 229-245, doi:10.1061/ (ASCE)0733-9429(1992)118:2(229).
98. Vanoni, V. A. (1946), Transportation of suspended sediment by water, Trans. ASCE, 111, 67-133.
99. Vanoni, V. A. (1975), Suspension of sediment, in Sedimentation Engineering, edited by V. A. Vanoni, pp. 39-53, Am. Soc. Civ. Eng., New York.
100. van Rijn, L. C. (1984), Sediment transport. Part II: Suspended load transport, J. Hydraul. Eng., 110(11), 1613-1641, doi:10.1061/(ASCE)0733- 9429(1984)110:11(1613).
101. Villaret, C., and A. G. Davies (1995), Modeling sediment-turbulent flow interactions, Appl. Mech. Rev., 48(9), 601-609, doi:10.1115/1.3023148.
102. Villaret, C., and J. H. Trowbridge (1991), Effects of stratification by suspended sediments on turbulent shear flows, J. Geophys. Res., 96(C6), 10,659-10,680, doi:10.1029/91JC01025.
103. Wan, Z., and Z. Wang (1994), Hyperconcentrated Flow, IAHR Monogr. Ser., 230 pp., Balkema, Rotterdam, Netherlands.
104. Wang, X., and N. Qian (1992), Velocity profiles of sediment laden flow, Int. J. Sediment Res., 7(1), 27-58.
105. Woo, H. S., P. Y. Julien, and E. V. Richardson (1988), Suspension of large concentration of sands, J. Hydraul. Eng., 114(8), 888-898, doi:10.1061/ (ASCE)0733-9429(1988)114:8(888).
106. Yoon, J. Y., and S. K. Kang (2005), A numerical model of sediment-laden turbulent flow in an open channel, Can. J. Civ. Eng., 32, 233-240, doi:10.1139/l04-089. (Pubitemid 40899772)