Turbulence Modulation and Particle Velocities over Flat Sand Beds at Low Transport Rates
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 12
Abstract
The presence of sand moving at low transport rates over a flat bed modulates the production of turbulence when compared to clearwater flow at similar mean flow conditions. Phase Doppler anemometry is used to discriminate the turbulence characteristics of the carrier fluid from the sediment grains (0.22 mm diameter) and shows that the presence of mobile sediment increases the near-wall velocity gradient and shear velocity when compared with the clearwater values. This increased shear velocity is associated with a greater bed roughness height and near-bed turbulence intensities and smaller mixing lengths. Quantification of slip velocities between the fluid and sediment phases reveals particle Reynolds numbers that range from 1 to 30. Turbulence enhancement is shown to occur at lower values of both the Stokes number and ratio of the particle size-to-turbulent length scale than in past work. Several mechanisms of turbulence modulation may be invoked to explain these changes, including increased bed roughness, eddy shedding from large grains, grain inertial effects, and particle-coherent structure interactions. These mechanisms may be significantly influenced by both particle-particle and particle-wall interactions. Since mobile sediment modulates the carrier fluid turbulence, there is a need for modification of existing theories of sediment suspension and for caution when interpreting velocity profiles that are obtained without discriminating the fluid and sediment phases.
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References
1.
Achenbach, E.(1974). “Vortex shedding from spheres.”J. Fluid Mech., Cambridge, U.K., 62, 209–221.
2.
Bachalo, W. D. (1994). “Experimental methods in multiphase flows.”Int. J. Multiphase Flow, 20(Supplement), 261–295.
3.
Bachalo, W. D., and Houser, M. J.(1984). “Phase Doppler spray analyser for simultaneous measurements of drop size and velocity distributions.”Optical Engrg., 23, 583–590.
4.
Bandyopadhyay, P. R.(1987). “Rough-wall turbulent boundary layers in the transition regime.”J. Fluid Mech., Cambridge, U.K., 180, 231–266.
5.
Bennett, S. J., and Best, J. L.(1995a). “Particle size and velocity discrimination in a sediment-laden turbulent flow using phase Doppler anemometry.”Trans. Am. Soc. Mech. Engrs. J. Fluids Engrg., 117, 505–511.
6.
Bennett, S. J., and Best, J. L.(1995b). “Mean flow and turbulence structure over fixed, two-dimensional dunes: implications for sediment transport and bedform stability.”Sedimentology, 42, 491–513.
7.
Bennett, S. J., and Bridge, J. S.(1995). “An experimental study of flow, bedload transport and bed topography under conditions of erosion and deposition and comparison with theoretical models.”Sedimentology, 42, 117–146.
8.
Bolio, E. J., and Sinclair, J. L.(1995). “Gas turbulence modulation in the pneumatic conveyance of massive particles in vertical pipes.”Int. J. Multiphase Flow, 21, 985–1001.
9.
Bridge, J. S., and Bennett, S. J.(1992). “A model for the entrainment and transport of sediment grains of mixed sizes, shapes and densities.”Water Resour. Res., 28, 337–363.
10.
Buchhave, P. (1987). “A new instrument for the simultaneous measurement of size and velocity of spherical particles based on the laser Doppler method.”Particulate and multiphase processes, Vol. 2: Contamination analysis and control, T. Ariman and T. N. Veziroglu, eds., Hemisphere Publishing Corp., New York, N.Y., 55–67.
11.
Cioffi, F., and Gallerano, F.(1991). “Velocity and concentration profiles of solid particles in a channel with movable and erodible bed.”J. Hydr. Res., 29, 387–401.
12.
Clift, R., Grace, J. R., and Weber, M. E. (1978). Bubbles, drops and particles. Academic Press, Inc., New York, N.Y.
13.
Coleman, N.(1981). “Velocity profiles with suspended sediment.”J. Hydr. Res., 19, 211–229.
14.
Coleman, N.(1986). “Effects of suspended sediment on the open-channel velocity distribution.”Water Resour. Res., 22, 1377–1384.
15.
Crowe, C. T. (1993). “Modelling turbulence in multiphase flows.”Engineering Turbulence Modelling and Experiments 2, W. Rodi and F. Martelli, eds., Elsevier, Science Publishers BV (North-Holland) Amsterdam, The Netherlands, 899–913.
16.
Crowe, C. T., Troutt, T. R., and Chung, J. N.(1996). “Numerical models for two-phase turbulent flows.”Annu. Rev. Fluid Mech., 28, 11–43.
17.
DANTEC (1994). PDA installation and users guide. DANTEK Electronik.
18.
Dietrich, W. E.(1982). “Settling velocities of natural particles.”Water Resour. Res., 18, 1615–1626.
19.
Durst, F. (1978). “Studies of particle motion by laser Doppler techniques.”Proc. Dyn. Flow Conf. on Dyn. Measurements in Unsteady Flows, 345–373.
20.
Durst, F.(1982). “Review—Combined measurements of particle velocities, size distributions, and concentrations.”Trans. Am. Soc. Mech. Engrs., 104, 284–296.
21.
Einstein, E. A., and Chien, N. (1955). “Effects of heavy sediment concentration near the bed on velocity and sediment distribution.”Univ. of California, Berkeley, and U.S. Army Corps of Engrs., Missouri River Div., Report No. 8.
22.
Elata, C., and Ippen, A. T. (1961). “Dynamics of open-channel flow with suspensions of neutrally buoyant particles.”Tech. Rep. No. 45, Massachusetts Inst. of Technology, Cambridge, Mass.
23.
Elghobashi, S.(1994). “On predicting particle-laden turbulent flows.”Appl. Scientific Res., 52, 309–329.
24.
Elghobashi, S., and Truesdell, G. C. (1993). “On the two-way interaction between homogenous turbulence and dispersed solid particles. I: Turbulence modification.”Phys. Fluids A5(7), 1790–1801.
25.
García, M., , Y., and López, F. (1996). “Laboratory observations of particle entrainment into suspension by turbulent bursting.”Coherent flow structures in open channels, P. J. Ashworth, S. J. Bennett, J. L. Best, and S. J. McLelland, eds., John Wiley & Sons, Inc., New York, N.Y. 63–86.
26.
Gore, R. A., and Crowe, C. T.(1989a). “Effects of particle size on modulating turbulent intensity.”Int. J. Multiphase Flow, 15, 279–285.
27.
Gore, R. A., and Crowe, C. T. (1989b). “Effect of particle size on modulating turbulent intensity: influence of radial location.”Turbulence modification in dispersed multiphase flows, ASME, FED, Vol. 80, E. E. Michaelides and D. E. Stock, eds., 31–35.
28.
Gore, R. A., and Crowe, C. T.(1991). “Modulation of turbulence by a dispersed phase.”Trans. Am. Soc. Mech. Engrs., 113, 304–307.
29.
Gust, G., and Southard, J. B.(1983). “Effects of weak bedload on the universal law of the wall.”J. Geophys. Res., 88, 5939–5952.
30.
Hardalupas, Y., Taylor, A. M. K. P., and Whitelaw, J. H. (1988). “Measurements in heavily-laden dusty jets with phase-Doppler anemometry.”Transport phenomenae in turbulent flows: Theory, experiment and numerical simulation, M. Hirata and N. Kasagi, eds., Hemisphere Publ. Co., New York, N.Y., 821–835.
31.
Hardalupas, Y., Taylor, A. M. K. P., and Whitelaw, J. H.(1989). “Velocity and particle-flux characteristics of turbulent particle-laden jets.”Proc., Royal Soc. London A, London, U.K., 426, 31–78.
32.
Hardalupas, Y., Taylor, A. M. K. P., and Whitelaw, J. H.(1990). “Velocity and size characteristics of liquid-fuelled flames stabilized by a swirl burner.”Proc., Royal Soc. London A, London, U.K., 428, 129–155.
33.
Hardalupas, Y., Taylor, A. M. K. P., and Whitelaw, J. H.(1992). “Particle dispersion in a vertical round sudden-expansion flow.”Phil. Trans. Royal Soc. London A, London, U.K., 341, 411–442.
34.
Hetsroni, G.(1989). “Particles-turbulence interaction.”Int. J. Multiphase Flow, 5, 735–746.
35.
Hetsroni, G. (1993). “The effect of particles on the turbulence in a boundary layer.”Particulate two-phase flow, M. C. Roco, ed., Butterworth-Heinemann, 244–264.
36.
Itakura, T., and Kishi, T.(1980). “Open channel flow with suspended sediments.”J. Hydr. Div., ASCE, 106, 1325–1343.
37.
Kaftori, D. (1993). “Structures in the turbulent boundary layer and their interaction with particles,” PhD thesis, Dept. of Chemical Engineering, University of California, Santa Barbara, Calif.
38.
Kaftori, D., Hetsroni, G., and Banerjee, S.(1995a). “Particle behaviour in the turbulent boundary layer. I: Motion, deposition and entrainment.”Phys. Fluids, 7(5), 1095–1106.
39.
Kaftori, D., Hetsroni, G., and Banerjee, S.(1995b). “Particle behaviour in the turbulent boundary layer. II: Velocity and distribution profiles.”Phys. Fluids., 7(5), 1107–1121.
40.
Kim, I., Elghobashi, S., and Sirignano, W. A.(1993). “Three-dimensional flow over two spheres placed side by side.”J. Fluid Mech., Cambridge, U.K., 246, 465–488.
41.
Kirkgoz, M. S.(1989). “Turbulent velocity profiles for smooth and rough open channel flow.”J. Hydr. Engrg., ASCE, 115, 1543–1561.
42.
Kulick, J. D., Fessler, J. R., and Eaton, J. K. (1993). “On the interactions between particles and turbulence in a fully-developed channel flow in air.”Report MD-66, Thermosciences Div., Dept. of Mechanical Engrg., Stanford Univ., Stanford, Calif.
43.
Kulick, J. D., Fessler, J. R., and Eaton, J. K.(1994). “Particle response and turbulence modification in fully developed channel flow.”J. Fluid Mech., Cambridge, U.K., 277, 109–134.
44.
Lee, H.-Y, and Hsu, I.-S.(1994). “Investigation of saltating particle motions.”J. Hydr. Engrg., ASCE, 120, 831–845.
45.
Lee, S. L.(1982). “Aspects of suspension shear flows.”Adv. in Appl. Mech., 22, 1–65.
46.
Lyn, D. A.(1988). “A similarity approach to turbulent sediment-laden flows in open channels.”J. Fluid Mech., Cambridge, U.K., 193, 1–26.
47.
Lyn, D. A.(1991). “Resistance in flat-bed sediment-laden flows.”J. Hydr. Engrg., ASCE, 117, 94–114.
48.
Lyn, D. A.(1992). “Turbulence characteristics of sediment-laden flows in open channels.”J. Hydr. Engrg., ASCE, 118, 971–988.
49.
Mueller, A. (1973). “Turbulence measurements over a movable bed with sediment transport by laser-anemometry.”Proc., 15th Cong., Int. Assn. Hydr. Res., Vol. 1, A7-1–A7-7.
50.
Mundo, C., Sommerfeld, M., and Tropea, C.(1995). “Droplet-wall collisions: Experimental studies of the deformation and breakup process.”Int. J. Multiphase Flow, 21, 151–173.
51.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows, IAHR Monograph, Delft, The Netherlands.
52.
Nouh, M.(1989). “The Von-Kármán coefficient in sediment laden flow.”J. Hydr. Res., 27, 477–499.
53.
Parker, G., and Coleman, N.(1986). “Simple model of sediment-laden flows.”J. Hydr. Engrg., ASCE, 112, 356–375.
54.
Rashidi, M., Hetsroni, G., and Banerjee, S.(1990). “Particle-turbulence interaction in a boundary layer.”Int. J. Multiphase Flow, 6, 935–949.
55.
Rayan, M. A. (1980). “Influence of solid particles in suspension on some turbulent characteristics.”Multiphase transport: Fundamentals, reactor safety, applications, Vol. 4, Hemisphere Publ. Co., New York, N.Y., 1969–1991.
56.
Rogers, C. B., and Eaton, J. K.(1990). “The behaviour of solid particles in a vertical turbulent boundary layer in air.”Int. J. Multiphase Flow, 16, 819–834.
57.
Rogers, C. B., and Eaton, J. K. (1991). “The effect of small particles on fluid turbulence in a flat-plate turbulent boundary layer in air.”Phys. Fluids, A(3), 928–937.
58.
Saffman, M., Buchhave, P., and Tanger, H. (1984). “Simultaneous measurement of size, concentration and velocity of spherical particles by a laser Doppler method.”Proc., 2nd Int. Symp. on Applications of Laser Anemometry to Fluid Mech..
59.
Saffman, M., Fraidl, G. K., and Wigley, G. (1988). “Application of phase and laser Doppler anemometry to the measurement of droplet size and velocity in gasoline and diesel fuel injection systems.”Proc., 4th Int. Symp. on Applications of Laser Anemometry to Fluid Mech.
60.
Tanger, H., and Weitendorf, E. A.(1992). “Applicability tests for the phase Doppler anemometer for cavitation nuclei measurements.”J. Fluids Engrg., 114, 443–449.
61.
Tominaga, A., and Nezu, I.(1992). “Velocity profiles in steep open-channel flows.”J. Hydr. Engrg., ASCE, 118, 73–90.
62.
Tsuji, Y., and Morikawa, Y.(1982). “LDV measurements of an air-solid two-phase flow in a horizontal pipe.”J. Fluid Mech., Cambridge, U.K., 120, 385–409.
63.
Tsuji, Y., Morikawa, Y., and Shiomi, H.(1984). “LDV measurements of an air-solid two-phase flow in a vertical pipe.”J. Fluid Mech., Cambridge, U.K., 139, 417–434.
64.
Tsuji, Y., Morikawa, Y., and Terashima, K.(1982). “Fluid-dynamics interaction between two spheres.”Int. J. Multiphase Flow, 8, 71–82.
65.
Umeyama, M., and Gerritsen, F.(1992). “Velocity distribution in uniform sediment-laden flow.”J. Hydr. Engrg., ASCE, 118, 229–245.
66.
Vanoni, V. A.(1946). “Transportation of sediment by water.”Trans. Am. Geophys. Union, 3, 67–133.
67.
Vanoni, V. A. (1953). “Some effects of suspended sediment on flow characteristics.”Proc., 5th Hydr. Conf., Univ. of Iowa, Iowa City, Iowa.
68.
Vanoni, V. A., and Nomincos, G. N.(1960). “Resistance properties of sediment-laden streams.”Trans. ASCE, 125, 140–167.
69.
van Rijn, L. C. (1990). Principles of fluid flow and surface waves in rivers, estuaries, seas and oceans. Aqua Publications, Oldemarkt, The Netherlands.
70.
Wang, Z., and Larsen, P.(1994). “Turbulent structure of water and clay suspensions with bed load.”J. Hydr. Engrg., ASCE, 120, 577–600.
71.
Weedman, S. D., and Slingerland, R.(1985). “Experimental study of sand streaks formed in turbulent boundary layers.”Sedimentology, 32, 133–145.
72.
Xingkui, W., and Ning, Q.(1989). “Turbulence characteristics of sediment-laden flow.”J. Hydr. Engrg., ASCE, 115, 781–800.
73.
Yarin, L. P., and Hetsroni, G.(1994a). “Turbulence intensity in dilute two-phase flows. 1: Effect of particle-size distribution on the turbulence of the carrier fluid.”Int. J. Multiphase Flow, 20, 1–16.
74.
Yarin, L. P., and Hetsroni, G.(1994b). “Turbulence intensity in dilute two-phase flows. 3: The particles-turbulence interaction in dilute two-phase flow.”Int. J. Multiphase Flow, 20, 27–44.
75.
Zhu, C., Liang, S.-C., and Fan, L. -S.(1994). “Particle wake effects on the drag force of an interactive particle.”Int. J. Multiphase Flow, 21, 117–129.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Dec 1, 1997
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