Saltation of particles in turbulent channel flow.

This paper numerically investigates particle saltation in a turbulent channel flow having a rough bed consisting of two to three layers of densely packed spheres. The Shields function is 0.065 which is just above the sediment entrainment threshold to give a bed-load regime. The applied methodology is a combination of three technologies, i.e., the direct numerical simulation of turbulent flow; the combined finite-discrete element modeling of the deformation, movement, and collision of the particles; and the immersed boundary method for the fluid-solid interaction. It is shown that the presence of entrained particles significantly modifies the flow profiles of velocity, turbulent intensities, and shear stresses in the vicinity of a rough bed. The quasi-streamwise-aligned streaky structures are not observed in the near-wall region and the particles scatter on the rough bed owing to their large size. However, in the outer flow region, the turbulent coherent structures recover due to the weakening rough-bed effects and particle interferences. First- and second-order statistical features of particle translational and angular velocities, together with sediment concentration and volumetric flux density profiles, are presented. Several key parameters of the particle saltation trajectory are calculated and agree closely with published experimental data. Time histories of the hydrodynamic forces exerted upon a typical saltating particle, together with those of the particle's coordinates and velocities, are presented. A strong correlation is shown between the abruptly decreasing streamwise velocity and increasing vertical velocity at collision which indicates that the continuous saltation of large-grain-size particles is controlled by collision parameters such as particle incident angle, local bed packing arrangement, and particle density, etc.

[1]  Remo Guidieri Res , 1995, RES: Anthropology and Aesthetics.

[2]  Gad Hetsroni,et al.  Heat transfer to a liquid—solid mixture in a flume , 1994 .

[3]  Hong‐Yuan Lee,et al.  Investigation of Saltating Particle Motions , 1994 .

[4]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[5]  Giovanni Paolo Romano,et al.  Particle–fluid interactions in a plane near-wall turbulent flow , 2004, Journal of Fluid Mechanics.

[6]  Patricia L. Wiberg,et al.  Model for Calculating Bed Load Transport of Sediment , 1989 .

[7]  Julian Simeonov,et al.  Modeling mechanical contact and lubrication in Direct Numerical Simulations of colliding particles , 2012 .

[8]  Manuel García-Villalba,et al.  Direct Numerical Simulation of Sediment Transport in Turbulent Open Channel Flow , 2010, High Performance Computing in Science and Engineering.

[9]  A. Shamseldin,et al.  Flow structures and hydrodynamic force during sediment entrainment , 2011 .

[10]  T. G. Thomas,et al.  Development of a parallel code to simulate skewed flow over a bluff body , 1997 .

[11]  John-Paul Latham,et al.  On the validation of DEM and FEM/DEM models in 2D and 3D , 2009 .

[12]  Xueming Shao,et al.  Fully resolved numerical simulation of particle-laden turbulent flow in a horizontal channel at a low Reynolds number , 2012, Journal of Fluid Mechanics.

[13]  M. R. Kolahchi,et al.  Sediment transport in the saltation regime. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  R. Rangel,et al.  Numerical investigation of particle–particle and particle–wall collisions in a viscous fluid , 2008, Journal of Fluid Mechanics.

[15]  C. Ancey,et al.  Statistical description of sediment transport experiments. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  C. Peskin Flow patterns around heart valves: A numerical method , 1972 .

[17]  Marian Muste,et al.  Two-phase flow insights into open-channel flows with suspended particles of different densities , 2009 .

[18]  Markus Uhlmann,et al.  Direct numerical simulation of horizontal open channel flow with finite-size, heavy particles at low solid volume fraction , 2013, 1301.5771.

[19]  Hong-Yuan Lee,et al.  Continuous saltating process of multiple sediment particles , 2002 .

[20]  Marcelo H. García,et al.  Gravel saltation: 1. Experiments , 1994 .

[21]  N. Sandham,et al.  Numerical Simulation of Flow over a Rough Bed , 2007 .

[22]  Van Rijn,et al.  Sediment transport; Part I, Bed load transport , 1984 .

[23]  A. Munjiza,et al.  Computational Mechanics of Discontinua: Munjiza/Computational Mechanics of Discontinua , 2011 .

[24]  Marcelo Horacio Garcia,et al.  Gravel Saltation: 2. Modeling , 1994 .

[25]  A. Tanière,et al.  On the behaviour of solid particles in a horizontal boundary layer with turbulence and saltation effects , 1997 .

[26]  D. Owen,et al.  A combined finite‐discrete element method in transient dynamics of fracturing solids , 1995 .

[27]  A. Munjiza,et al.  Direct numerical simulation of sediment entrainment in turbulent channel flow , 2013 .

[28]  R. Gordon,et al.  Saltation of plastic balls in a ‘one‐dimensional’ flume , 1972 .

[29]  A. Munjiza The Combined Finite-Discrete Element Method , 2004 .

[30]  A. Munjiza The Combined Finite-Discrete Element Method: Munjiza/Discrete Element Method , 2004 .

[31]  Markus Uhlmann,et al.  Force and torque acting on particles in a transitionally rough open-channel flow , 2011, Journal of Fluid Mechanics.

[32]  Chunning Ji,et al.  A novel iterative direct-forcing immersed boundary method and its finite volume applications , 2012, J. Comput. Phys..

[33]  C. Ancey,et al.  Saltating motion of a bead in a rapid water stream. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Bruno Andreotti,et al.  Numerical simulation of turbulent sediment transport, from bed load to saltation , 2011, 1111.6898.

[35]  R. Luque Erosion And Transport Of Bed-Load Sediment , 1976 .

[36]  J. Jiménez Turbulent flows over rough walls , 2004 .

[37]  Marcelo Horacio Garcia,et al.  Experiments on Saltation of Sand in Water , 1998 .

[38]  K. Kiger,et al.  Suspension and turbulence modification effects of solid particulates on a horizontal turbulent channel flow , 2002 .

[39]  Hong-Yuan Lee,et al.  Investigations of Continuous Bed Load Saltating Process , 2000 .

[40]  Sanjoy Banerjee,et al.  Particle behavior in the turbulent boundary layer. II. Velocity and distribution profiles , 1995 .

[41]  Yarko Niño,et al.  Experiments on particle—turbulence interactions in the near–wall region of an open channel flow: implications for sediment transport , 1996, Journal of Fluid Mechanics.