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Jha, Sanjeev K.; Bombardelli, Fabián A. (2009)
Publisher: eScholarship, University of California
Languages: English
Types: Article
Subjects: Environmental Physics, Mechanics, Hydrogeology, Turbulence, RSM, Water Science and Technology, Algebraic stress model, Environment, Sediment transport, Meteorology/Climatology, Reynolds stress model, Oceanography, Two-phase flows, ASM, $${K-{\varepsilon}}$$ model, K–ω model, Environmental Chemistry
In this paper, we focus on assessing the performance of diverse turbulence closures in the simulation of dilute sediment-laden, open-channel flows. To that end, we base our analysis on a framework developed in a companion paper of this special issue, which puts forward a standard sediment transport model (SSTM), a partial two-fluid model (PTFM) and a complete two-fluid model (CTFM), in three- and one-dimensional (3D and 1D) versions. First, we propose in this paper extensions of the transport equations for the Reynolds stresses, and of the equations of the K–ω model to two-phase flows, starting from the general two-fluid model. We consider the drag force to be the predominant force amongst all the interactions between the two phases (water and sediment). Second, under the framework of models formed by the SSTM, the PTFM and the CTFM, we discuss simulation results obtained by employing the Reynolds stress model (RSM), the algebraic stress model (ASM), and the K– $$\varepsilon$$ and the K–ω models (in their standard and extended versions), paired with each member of the framework. To assess the accuracy of the models, we compare numerical results with the experimental datasets of Vanoni, Trans ASCE 111:67–133, 1946; Coleman, Water Resour Res 22(10):1377–1384, 1986; Muste and Patel, J Hydraul Eng 123(9):742–751, 1997; Nezu and Azuma, J Hydraul Eng 130:988–1001, 2004; Muste et al. Water Resour Res 41:W10402, 2005 . Third, we obtain from those comparisons the values of the Schmidt number that facilitate the agreement of model predictions with data. We conclude that the standard K– $$\varepsilon$$ model, the ASM and the K–ω models all provide satisfactory descriptions of flow variables and sediment concentrations in open-channel flows; further, we show that the more complicated RSM does not provide much improvement in dilute sediment transport as compared to those previous models, even when it is paired with the CTFM. We also show that the inclusion of model extensions in the turbulence closures does not improve the predictions for dilute mixtures either. We find that our values for the Schmidt number agree well with available data, and we provide an explanation for the variation of the Schmidt number with the ratio of the fall velocity and the wall-friction (shear) velocity. Finally, we corroborate that the Schmidt number is the key parameter to obtain satisfactory predictions of sediment transport in suspension.
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    • 1. Beishuizen NA, Naud B, Roekaerts D (2007) Evaluation of a modified Reynolds stress model for turbulent dispersed two-phase flows including two-way coupling. Flow Turbul Combust 79:321-341
    • 2. Bertodano ML, Saif AA (1997) Modified k−ε model for two-phase turbulent jets. Nucl Eng Des 172:187- 196
    • 3. Bertodano ML, Lee S-J, Lahey RT, Drew DA (1990) The prediction of two-phase turbulence and phase distribution phenomena using a Reynolds stress model. J Fluids Eng 112:107-113
    • 4. Bombardelli FA (2004) Turbulence in multiphase models for aeration bubble plumes. PhD Thesis. University of Illinois at Urbana-Champaign, Department of Civil and Environmental Engineering
    • 5. Bombardelli FA, Gioia G (2006) Scouring of granular beds by jet-driven axisymmetric turbulent cauldrons. Phys Fluids 18:088101
    • 6. Bombardelli FA, Jha SK (2008) Hierarchical modeling of dilute, suspended-sediment transport in open channels. Environ Fluid Mech. doi:10.1007/s10652-008-9091-6
    • 7. Bombardelli FA, Buscaglia GC, García MH (2003) Parallel computations of the dynamic behavior of bubble plumes. In: Brust FW (ed) Proceedings of the pressure vessels and pipe division conference, Cleveland, vol PVP-464, Residual Stress, Fitness-for-Service, and Manufacturing Processes. ASME-PVP Division
    • 8. Brennen CE (2005) Fundamentals of multiphase flow. Cambridge University Press, Cambridge
    • 9. Buscaglia GC, Bombardelli FA, García MH (2002) Numerical modeling of large scale bubble plumes accounting for mass transfer effects. Int J Multiph Flow 28:1763-1785
    • 10. Cao Z, Carling PA (2002) Mathematical modeling of alluvial rivers: reality and myth. Part 2: special issues. Proc Inst Civ Eng Water Marit Eng 154(4):297-308
    • 11. Cao Z, Wei L, Xie J (1995) Sediment-laden flow in open channels from two-phase flow viewpoint. J Hydraul Eng 121(10):725-735
    • 12. Chauchat J (2007) Contribution to two-phase flow modeling for sediment transport in estuarine and coastal zones. PhD Thesis, University of Caen, France (in French)
    • 13. Chauchat J, Guillou S (2008) On turbulence closures for two-phase sediment-laden flow models. J Geophys Res 113(C11017)
    • 14. Chen CP, Wood PE (1986) Turbulence closure modeling of the dilute gas-particle axisymmetric jet. AIChe J 32(1):163-166
    • 15. Choi S, Kang H (2004) Reynolds stress modeling of vegetated open-channel flows. J Hydraul Res 42(1):3-11
    • 16. Cokljat D, Younis BA (1995) Second order closure study of open-channel flows. J Hydraul Eng 121(2):94-107
    • 17. Cokljat D, Ivanov VA, Sarasola FJ, Vasquez SA (2000) Multiphase k-epsilon models for unstructured meshes. In: ASME 2000 Fluids Engineering Division Summer Meeting, Boston
    • 18. Cokljat D, Slack M, Vasquez SA, Bakker A, Montante G (2006) Reynolds-stress model for Eulerian multiphase. In: Nagano Y, Hanjalic K, Tummers MJ (eds) Proceedings of the 4th international symposium on turbulence heat and mass transfer, pp 1047-1054
    • 19. Coleman NL (1986) Effects of suspended sediment on the open-channel distribution. Water Resour Res 22(10):1377-1384
    • 20. Drew DA (1975) Turbulent sediment transport over a flat bottom using momentum balance. J Appl Mech, Trans ASME 42:38-44
    • 21. Drew D, Passman S (1999) Theory of multicomponent fluids. Applied mathematical sciences. Springer, Berlin
    • 22. Elghobashi S (1994) On predicting particle-laden turbulent flows. Appl Sci Res 52:309-329
    • 23. Elghobashi S, Abou-Arab TW (1983) A two-equation turbulence model for two-phase flows. Phys Fluids 26(4):931-938
    • 24. Einstein HA, Chien N (1955) Effects of heavy sediment concentration near the bed on velocity and sediment distribution. MRD Sediment Series Report No. 8, University of California, Berkeley, U.S. Army Corps of Engineers, Missouri Division
    • 25. Gatski TB, Speziale CG (1993) On explicit algebraic stress models for complex turbulent flows. J Fluid Mech 254:59-78
    • 26. Gelfenbaum G, Smith JD (1986) Experimental evaluation of a generalized suspended-sediment transport theory. In: Knight RJ, McLean JR (eds) Shelf and sandstones. Canadian Society of Petroleum Geologists Memoir II. pp 133-144
    • 27. Gioia G, Bombardelli FA (2002) Scaling and similarity in rough channel flows. Phys Rev Lett 88(1):014501
    • 28. Gioia G, Bombardelli FA (2005) Localized turbulent flows on scouring granular beds. Phys Rev Lett 95:014501
    • 29. Gioia G, Chakraborty P, Bombardelli FA (2006) Rough-pipe flows and the existence of fully developed turbulence. Phys Fluids 18:038107
    • 30. Greimann BP, Holly FM Jr (2001) Two-phase flow analysis of concentration profiles. J Hydraul Eng 127(9):753-762
    • 31. Greimann BP, Muste M, Holly FM Jr (1999) Two-phase formulation of suspended sediment transport. J Hydraul Res 37:479-500
    • 32. Hsu T, Jenkins JT, Liu PLF (2003) On two-phase sediment transport: dilute flow. J Geophys Res 108(C3):3057
    • 33. Jaw SY, Chen CJ (1998) Present status of second order closure turbulence models. II Applications. J Eng Mech 124(5):502-512
    • 34. Jiang J, Law AW, Cheng NS (2004) Two-phase analysis of vertical sediment laden jets. J Eng Mech 131(3):308-318
    • 35. Kang H, Choi S-Uk (2006) Reynolds stress modeling of rectangular open-channel flow. Int J Numer Methods Fluids 51:1319-1334
    • 36. Kataoka I, Serizawa A (1989) Basic equations of turbulence in gas-liquid two-phase flow. Int J Multiph Flow 15(5), 843-885
    • 37. Kobayashi N, Seo SN (1985) Fluid and sediment interaction over a plane bed. J Hydraul Eng 111(6):903- 919
    • 38. Kumar R (1995) An algebraic stress/flux model for two-phase turbulent flow. In: Second ISHMIT-ASME heat and mass conference, Karnataka, India, 28-30 Dec
    • 39. Laín S, Aliod R (2003) Discussion on second-order dispersed phase Eulerian equations applied to turbulent particle-laden jet flows. Chem Eng Sci 58:4527-4535
    • 40. Launder BE, Reece GJ, Rodi W (1975) Progress in the development of a Reynolds-stress turbulent closure. J Fluid Mech 68(3):537-566
    • 41. Lien FS, Leschzinger MA (1994) Assessment of turbulence-transport models concluding non-linear RNG eddy-viscosity formulation and second-moment closure for flow over a backward-facing step. Comput Fluids. 23(8), 983-1004
    • 42. López F, García MH (1998) Open-channel flow through simulated vegetation: suspended sediment transport modeling. Water Resour Res 34(9):2341-2352
    • 43. López F, García M (2001) Mean flow and turbulence structure of open-channel flow through non-emergent vegetation. J Hydraul Eng 127(5):392-402
    • 44. Loth E (2007) Computational fluid dynamics of bubbles, drops and particles. Cambridge University Press, Cambridge
    • 45. Lyn DA (1988) A similarity approach to turbulent sediment-laden flows in open channels. J Fluid Mech 193:1-26
    • 46. Lyn DA (2008) Sedimentation engineering: theories, measurements, modeling and practice. In: García M (ed) Manual No. 110, ASCE, 1150 pp
    • 47. Ma D, Ahmadi G (1988) A kinetic model for rapid granular flows of nearly elastic particles including interstitial fluid effects. Powder Technol 56:191-207
    • 48. Mashayek F, Taulbee DB (2002) A four-equation model for prediction of gas-solid turbulent flows. Numer Heat Transf 41:95-116
    • 49. McTigue DF (1981) Mixture theory for suspended sediment transport. J Hydraul Div 107(HY6): 659-673
    • 50. Muste M, Patel VC (1997) Velocity profiles for particles and liquid in open-channel flow with suspended sediment. J Hydraul Eng 123(9):742-751
    • 51. Muste M, Fujita K, Yu I, Ettema R (2005) Two-phase versus mixed-flow perspective on suspended sediment transport in turbulent channel flows. Water Resour Res 41:W10402
    • 52. Nezu I (2005) Open-channel flow turbulence and its research prospect in the 21st century. J Hydraul Eng 131(4):229-246
    • 53. Nezu I, Azuma R (2004) Turbulence characteristics and interaction between particles and fluid in particle-laden open-channel flows. J Hydraul Eng 130:988-1001
    • 54. Parker G (2004) 1D sediment transport morphodynamics with application to rivers and turbidity currents. e-book downloadable at: http://cee.uiuc.edu/people/parkerg/morphodynamics_ebook.htm
    • 55. Parthasarathy RN, Faeth GM (1987) Structure of particle-laden turbulent water jets in still water. Int J Multiph Flow 13(5):699-716
    • 56. Pope SB (1975) A more general effective viscosity hypothesis. J Fluid Mech 72(2):331-340
    • 57. Pope SB (2000) Turbulent flows. Cambridge University Press, Cambridge
    • 58. Rodi W (1984) Turbulence models and their application in hydraulics. International Association for Hydraulic Research, Delft, The Netherlands
    • 59. Rubinstein R, Zhou Y, Younis BA (1997) The dissipation rate transport equation in rotating turbulent shear flow. In: Proceedings of the 13th symposium on turbulent shear flows
    • 60. Sijercic M, Belosevic S, Stevanovic Z (2007) Simulation of free turbulent particle-laden jet using Reynolds-stress gas turbulence model. Appl Math Model 31:1001-1014
    • 61. Sokolichin A, Eigenberger G (1999) Applicability of the standard turbulence model to the dynamic simulation of bubble columns: Part I. Detailed numerical simulations. Chem Eng Sci 54:2273-2284
    • 62. Sokolichin A, Eigenberger G, Lapin A (2004) Simulation of buoyancy driven bubbly flow: established simplifications and open questions. AIChe J 50:24-45
    • 63. Speziale CG, Younis BA, Berger SA (2000) Analysis and modeling of turbulent flow in an axially rotating pipe. J Fluid Mech 407:1-26
    • 64. Squires KD, Eaton JK (1994) Effect of selective modification of turbulence on two-equation models for particle-laden turbulent flows. J Fluid Eng 116:778-784
    • 65. Taggart WC, Yermoli CA, Montes S, Ippen AT (1972) Effects of sediment size and gradation on concentration profiles for turbulent flow. M.I.T. Report No. 152
    • 66. Taulbee DB, Mashayek F, Barre C (1999) Simulation and Reynolds stress modeling of particle-laden turbulent shear flows. Int J Heat Fluid Flow 20:368-373
    • 67. Toorman EA (2008) Vertical mixing in the fully developed turbulent layer of sediment-laden open channel flow. J Hydraul Eng 134(9):1225-1235
    • 68. Van Rijn LC (1984) Sediment transport. Part II: suspended load transport. J Hydraul Eng 110(11): 1613-1641
    • 69. Vanoni VA (1946) Transportation of suspended sediment by water. Trans ASCE 111:67-133
    • 70. Villaret C, Davies AG (1995) Modeling sediment-turbulent flow interactions. Appl Mech Rev 48(9):601- 609
    • 71. Villaret C, Trowbridge JH (1991) Effects of stratification by suspended sediments on turbulent shear flows. J Geophys Res 96(6):10659-10680
    • 72. Wilcox DC (1988) Reassessment of the scale-determining equation for advanced turbulence models. AIAA J 26(11):1299-1310
    • 73. Xu Y, Subramaniam S (2006) A multiscale model for dilute turbulence gas-particle flows based on the equilibration of energy concept. Phys Fluids 18:033301-033317
    • 74. Yoon J, Kang S (2005) A numerical model for sediment-laden turbulent flow in an open channel. Can J Civ Eng 32:233-240
    • 75. Younis BA (1996) Progress in turbulence modeling for open-channel flows. In: Anderson MG, Walling DE, Bates PD (eds) Flood plain processes, chap 9. Wiley, New York, pp 299-332
    • 76. Zaichik LI, Alipchenkov VM (1999) A kinetic model for the transport of arbitrary-density particles in turbulent shear flows. In: Proceedings on turbulence and shear flow phenomena 1, Santa Barbara
    • 77. Zhou LX, Chen T (2001) Simulation of swirling gas-particle flows using USM and k − ε − kp two-phase turbulence models. Powder Technol 114:1-11
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