Force and torque acting on particles in a transitionally rough open-channel flow

Journal of Fluid Mechanics

Volumn 684, Issue , 2011, Pages 441-474

  Chan Braun, Clemens ^a   Garcí A Villalba, Manuel ^a,b   Uhlmann, Markus ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b UNIVERSIDAD CARLOS III DE MADRID   (Spain)

Author keywords

sediment transport; turbulence simulation; turbulent boundary layers

Indexed keywords

BOUNDARY LAYERS; PROBABILITY DENSITY FUNCTION; QUAY WALLS; REYNOLDS NUMBER; SEDIMENT TRANSPORT; SPHERES; TORQUE; TURBULENCE; TURBULENT FLOW; WALL FLOW;

FORCE AND TORQUES; INDIVIDUAL COMPONENTS; NON-GAUSSIAN PROBABILITY DENSITY FUNCTION; PARTICLE SURFACE; SEDIMENT EROSION; TORQUE FLUCTUATION; TURBULENCE SIMULATION; TURBULENT BOUNDARY LAYERS;

OPEN CHANNEL FLOW;

CHANNEL HYDRAULICS; DRAG; FLOW MODELING; FLUID MECHANICS; NUMERICAL MODEL; OPEN CHANNEL FLOW; PARTICLE MOTION; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; SEDIMENT TRANSPORT; TORQUE; TREND ANALYSIS; TURBULENT BOUNDARY LAYER; TURBULENT FLOW;

EID: 80053298116     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.311     Document Type: Article

References (80)

1. AUTON, T. 1987 The lift force on a spherical body in a rotational flow. J. Fluid Mech. 183, 199-218. (Pubitemid 18516765)
2. AUTON, T. R, HUNT, J. C. R. & PRUD'HOMME, M. 1988 The force on a body in inviscid unsteady non-uniform rotational flow. J. Fluid Mech. 197, 241-257.
3. BAGCHI, P. & BALACHANDAR, S. 2002 Steady planar straining flow past a rigid sphere at moderate Reynolds number. J. Fluid Mech. 466, 365-407.
4. BAGCHI, P. & BALACHANDAR, S. 2003 Effect of turbulence on the drag and lift of a particle. Phys. Fluids 15 (11), 3496-3513. (Pubitemid 37450212)
5. BAGCHI, P. & BALACHANDAR, S. 2004 Response of the wake of an isolated particle to an isotropic turbulent flow. J. Fluid Mech. 518, 95-123. (Pubitemid 39500628)
6. BAYAZIT, M. 1983 Flow structure and sediment transport mechanics in steep channels. In Mechanics of Sediment Transport, Proc. EUROMECH 156 Colloquium (ed. B. M. Sumer & A. Müller), pp. 197-206. A.A. Balkema. (Pubitemid 14518382)
7. BRADSHAW, P. 2000 A note on 'critical roughness height' and 'transitional roughness'. Phys. Fluids 12 (6), 1611-1614.
8. CAMERON, S. M. 2006 Near-boundary flow structure and particle entrainment. PhD thesis, University of Auckland.
9. COLEBROOK, C. F. 1939 Turbulent flow in pipes with particular reference to the transition region between the smooth-and rough-pipe laws. J. Inst. Civil Engrs 11, 133-156.
10. DETERT, M., NIKORA, V. & JIRKA, G. H. 2010a Synoptic velocity and pressure fields at the water-sediment interface of streambeds. J. Fluid Mech. 660, 55-86.
11. DETERT, M., WEITBRECHT, V. & JIRKA, G. H. 2010b Laboratory measurements on turbulent pressure fluctuations in and above gravel beds. J. Hydraul. Engng 1, 126-126.
12. DITTRICH, A. 1998 Wechselwirkung Morphologie/Strömung naturnaher Fließgewässer. Habilitation, Univ. Karlsruhe (TH).
13. EINSTEIN, H. A. & EL-SAMNI, E.-S. A. 1949 Hydrodynamic forces on a rough wall. Rev. Mod. Phys. 21 (3), 520-524.
14. FADLUN, E. A., VERZICCO, R., ORLANDI, P. & MOHD-YUSOF, J. 2000 Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161 (1), 35-60.
15. FENTON, J. & ABBOTT, J. 1977 Initial movement of grains on a stream bed: the effect of relative protrusion. Proc. R. Soc. Lond. A 352 (1671), 523-537.
16. FLORES, O. & JIMÉNEZ, J. 2006 Effect of wall-boundary disturbances on turbulent channel flows. J. Fluid Mech. 566, 357-376. (Pubitemid 44530262)
17. GARĆIA, M. H. 2008 Sedimentation Engineering: Processes, Measurements, Modeling, and Practice. American Soc. Civil Eng. (ASCE), ASCE Manual of Practice 110.
18. GRASS, A. J., STUART, R. J. & MANSOUR-TEHRANI, M. 1991 Vortical structures and coherent motion in turbulent flow over smooth and rough boundaries. Phil. Trans. R. Soc. Lond. A 336, 36-65.
19. HALL, D. 1988 Measurements of the mean force on a particle near a boundary in turbulent flow. J. Fluid Mech. 187, 451-466. (Pubitemid 18578539)
20. HOFLAND, B. 2005 Rock and roll, turbulence-induced damage to granular bed protections. PhD thesis, Tech. Univ. Delft.
21. HOFLAND, B. & BATTJES, J. 2006 Probability density functions of instantaneous drag forces and shear stresses on a bed. J. Hydraul. Engng 132 (11), 1169-1175. (Pubitemid 44594064)
22. HOFLAND, B., BATTJES, J. & BOOIJ, R. 2005 Measurement of fluctuating pressures on coarse bed material. J. Hydraul. Engng 131 (9), 770-781. (Pubitemid 41269601)
23. JACKSON, P. S. 1981 On the displacement height in the logarithmic velocity profile. J. Fluid Mech. 111, 15-25. (Pubitemid 12456612)
24. JIMÉNEZ, J. 2004 Turbulent flow over rough walls. Annu. Rev. Fluid Mech. 36, 173-196.
25. JIMÉNEZ, J. & HOYAS, S. 2008 Turbulent fluctuations above the buffer layer of wall-bounded flows. J. Fluid Mech. 611, 215-236.
26. KIM, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421-451. (Pubitemid 20679679)
27. KIM, I., ELGHOBASHI, S. & SIRIGNANO, W. A. 1993 Three-dimensional flow over two spheres placed side by side. J. Fluid Mech. 246, 465-488.
28. KIM, J., MOIN, P. & MOSER, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133-166. (Pubitemid 17583594)
29. KING, M. R. & LEIGHTON, D. T. J. 1997 Measurement of the inertial lift on a moving sphere in contact with a plane wall in a shear flow. Phys. Fluids 9 (5), 1248-1255.
30. KRISHNAN, G. P. & LEIGHTON, D. T. J. 1995 Inertial lift on a moving sphere in contact with a plane wall in a shear flow. Phys. Fluids 7 (11), 2538-2545.
31. LEE, H. & BALACHANDAR, S. 2010 Drag and lift forces on a spherical particle moving on a wall in a shear flow at finite Re. J. Fluid Mech. 657, 89-125.
32. LEE, S.-H. & SUNG, H. J. 2007 Direct numerical simulation of the turbulent boundary layer over a rod-roughened wall. J. Fluid Mech. 584, 125-146. (Pubitemid 47224543)
33. LEE, J. H., SUNG, H. J. & KROGSTAD, P.-A. 2011 Direct numerical simulation of the turbulent boundary layer over a cube-roughened wall. J. Fluid Mech. 669, 397-431.
34. LEONARDI, S., ORLANDI, P. & ANTONIA, R. A. 2007 Properties of d-and k-type roughness in a turbulent channel flow. Phys. Fluids 19 (12), 125101.
35. LEONARDI, S., ORLANDI, P., SMALLEY, R. J., DJENIDI, L. & ANTONIA, R. A. 2003 Direct numerical simulations of turbulent channel flow with transverse square bars on one wall. J. Fluid Mech. 491, 229-238. (Pubitemid 37269166)
36. LIGRANI, P. M. & MOFFAT, R. J. 1986 Structure of transitionally rough and fully rough turbulent boundary layers. J. Fluid Mech. 162, 69-98.
37. LUCCI, F., FERRANTE, A. & ELGHOBASHI, S. 2010 Modulation of isotropic turbulence by particles of Taylor length-scale size. J. Fluid Mech. 650, 5-55.
38. MANES, C., POKRAJAC, D. & MCEWAN, I. 2007 Double-averaged open-channel flows with small relative submergence. J. Hydraul. Engng 133 (8), 896-904. (Pubitemid 47098079)
39. MANES, C., POKRAJAC, D., NIKORA, V. I., RIDOLFI, L. & POGGI, D. 2011 Turbulent friction in flows over permeable walls. Geophys. Res. Lett. 38 (3), L03402.
40. MARUSIC, I., MCKEON, B. J., MONKEWITZ, P. A., NAGIB, H. M., SMITS, A. J. & SREENIVASAN, K. R. 2010 Wall-bounded turbulent flows at high Reynolds numbers: recent advances and key issues. Phys. Fluids 22 (6), 065103.
41. MOLLINGER, A. & NIEUWSTADT, F. 1996 Measurement of the lift force on a particle fixed to the wall in the viscous sublayer of a fully developed turbulent boundary layer. J. Fluid Mech. 316, 285-306. (Pubitemid 126467722)
42. MUÑ OZ GOMA, R. J. & GELHAR, L. W. 1968 Turbulent pipe flow with rough and porous walls. Int. Rep. 109. Hydrodyn. Lab., Dep. Civil Eng., MIT.
43. MUTHANNA, C., NIEUWSTADT, F. T. M. & HUNT, J. C. R. 2005 Measurement of the aerodynamic forces on a small particle attached to a wall. Exp. Fluids 39, 455-463. (Pubitemid 41240047)
44. NAKAGAWA, H. & NEZU, I. 1977 Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows. J. Fluid Mech. 80 (01), 99-128.
45. NEZU, I. & NAKAGAWA, H. 1993 Turbulence in Open-Channel Flows. IAHR/AIRH Monograph Series, Balkema.
46. NIKORA, V., MCEWAN, I., MCLEAN, S., COLEMAN, S., POKRAJAC, D. & WALTERS, R. 2007 Double-averaging concept for rough-bed open-channel and overland flows: theoretical background. J. Hydraul. Engng 133 (8), 873-883. (Pubitemid 47098077)
47. NIKORA, V. I., GORING, D. G., MACEWAN, I. & GRIFFITHS, G. 2001 Spatially averaged open-channel flow over rough bed. J. Hydraul. Engng 127 (2), 123-133. (Pubitemid 32158864)
48. NIKURADSE, J. 1933 Strömungsgesetze in rauhen Rohren. VDI-Forschungsheft 361, (translation 1950, Laws of flow in rough pipes. NACA TM 1292).
49. ORLANDI, P. & LEONARDI, S. 2008 Direct numerical simulation of three-dimensional turbulent rough channels: parameterization and flow physics. J. Fluid Mech. 606, 399-415. (Pubitemid 351850787)
50. ORLANDI, P., LEONARDI, S., TUZI, R. & ANTONIA, R. A. 2003 Direct numerical simulation of turbulent channel flow with wall velocity disturbances. Phys. Fluids 15 (12), 3587-3601. (Pubitemid 38013209)
51. PAPANICOLAOU, A., DIPLAS, P., EVAGGELOPOULOS, N. & FOTOPOULOS, S. 2002 Stochastic incipient motion criterion for spheres under various packing conditions. J. Hydraul. Engng 128 (4), 369-380. (Pubitemid 34439803)
52. PESKIN, C. S. 1972 Flow patterns around heart valves: a digital computer method for solving the equation of motion. PhD thesis, Albert Einstein College of Medicine.
53. PESKIN, C. S. 2002 The immersed boundary method. Acta Numerica 11, 479-517.
54. PIMENTA, M. M., MOFFAT, R. J. & KAYS, W. M. 1975 The turbulent boundary layer: an experimental study of the transport of momentum and heat with the effect of roughness. Int. Rep. HMT-21. Dep. Mech. Eng. Stanford Univ.
55. POGGY, D., PORPORATO, A. & RIDOLFI, L. 2003 Analysis of the small-scale structure of turbulence on smooth and rough walls. Phys. Fluids 15 (1), 35-46. (Pubitemid 36230054)
56. POKRAJAC, D., FINNIGAN, J., MANES, C., MCEWAN, I. & NIKORA, V. 2006 On the definition of shear velocity in rough bed open-channel flows. In River Flow 2006 (ed. R. Ferreiara, E. Alves, J. Leal & A. Cardoso). A.A. Balkema.
57. POKRAJAC, D. & MANES, C. 2009 Velocity measurements of a free-surface turbulent flow penetrating a porous medium composed of uniform-size spheres. Trans. Porous Med. 78, 367-383.
58. POPE, S. 2000 Turbulent Flows. Cambridge University Press.
59. RAUPACH, M. R., ANTONIA, R. A. & RAJAGOPALAN, S. 1991 Rough-wall turbulent boundary layers. Appl. Mech. Rev. 44 (1), 1-25.
60. VAN RIJN, L. C. 1993 Principles of Sediment Transport in Rivers, Estuaries, and Costal Seas. Aqua Publications.
61. ROMA, A., PESKIN, C. & BERGER, M. 1999 An adaptive version of the immersed boundary method. J. Comput. Phys. 153 (2), 509-534.
62. SAFFMAN, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22 (2), 385-400.
63. SCHLICHTING, H. 1936 Experimentelle Untersuchungen zum Rauhigkeitsprobem. Ing.-Arch. 7, 1-34.
64. SCHLICHTING, H. 1965 Grenzschicht-Theorie, 5th edn. G. Braun.
65. SHIELDS, A. 1936 Anwendung der Ä hnlichkeitsmechanik und der Turbulenzforschung auf die Geschiebebewegung. Mitteilungen der Versuchsanstalt für Wasserbau und Schiffbau (Berlin) 26.
66. SHOCKLING, M. A., ALLEN, J. J. & SMITS, A. J. 2006 Roughness effects in turbulent pipe flow. J. Fluid Mech. 564, 267-285. (Pubitemid 44420000)
67. SINGH, K. M., SANDHAM, N. D. & WILLIAMS, J. J. R. 2007 Numerical simulation of flow over a rough bed. J. Hydraul. Engng 133 (4), 386-398. (Pubitemid 46773155)
68. THOM, A. S. 1971 Momentum absorption by vegetation. Q. J. R. Meteorol. Soc. 97 (414), 414-428.
69. TOWNSEND, A. A. 1971 The Structure of Turbulent Shear Flow. Cambridge University Press.
70. UHLMANN, M. 2003 New results on the simulation of particulate flows. Tech. Rep. 1038. CIEMAT, ISSN 1135-9420.
71. UHLMANN, M. 2005a An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 209 (2), 448-476. (Pubitemid 40919636)
72. UHLMANN, M. 2005b An improved fluid-solid coupling method for DNS of particulate flow on a fixed mesh. In Proceedings of 11th Workshop on Two-Phase Flow Predictions (ed. M. Sommerfeld). Universität Halle, ISBN 3-86010-767-4.
73. UHLMANN, M. 2006a Direct numerical simulation of sediment transport in a horizontal channel. Tech. Rep. CIEMAT, ISSN 1135-9420.
74. UHLMANN, M. 2006b Experience with DNS of particulate flow using a variant of the immersed boundary method. In Proceedings of ECCOMAS CFD 2006 (ed. P. Wesseling, E. Oñate & J. Périaux). TU Delft, ISBN 90-9020970-0.
75. UHLMANN, M. 2008 Interface-resolved direct numerical simulation of vertical particulate channel flow in the turbulent regime. Phys. Fluids 20 (5), 053305.
76. VERZICCO, R. & ORLANDI, P. 1996 A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates. J. Comput. Phys. 123, 402-414. (Pubitemid 126168706)
77. WILLETTS, B. B. & MURRAY, C. G. 1981 Lift exerted on stationary spheres in turbulent flow. J. Fluid Mech. 105, 487-505.
78. YUN, G., KIM, D. & CHOI, H. 2006 Vortical structures behind a sphere at subcritical Reynolds numbers. Phys. Fluids 18 (1), 015102.
79. ZENG, L., BALACHANDAR, S., FISCHER, P. & NAJJAR, F. 2008 Interactions of a stationary finite-sized particle with wall turbulence. J. Fluid Mech. 594, 271-305.
80. ZENG, L., NAJJAR, F., BALACHANDAR, S. & FISCHER, P. 2009 Forces on a finite-sized particle located close to a wall in a linear shear flow. Phys. Fluids 21 (3), 033302.