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Lagrangian Model for a Single Saltating Grain in the Near-Wall Region of an Open-Channel Flow

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A mathematical model for the continuous saltation of a particle near the granular bed in an open-channel flow is developed in detail. The model is based on the Lagrangian equations governing particle motion, and it takes into account the following forces: drag, lift, gravitation, virtual mass and the force responsible for particle-particle interactions. A model of particle-particle collisions is developed and used to determine the mean impulsive force acting upon a particle flowing and rebounding from the channel bed. The model can simulate the continuous saltation trajectories of a single particle in the near-bed region of turbulent flows, in which particle motion is controlled by collisions. The model has been calibrated and verified with available published data in a rather wide range of grain sizes from 0.53 mm to 15 mm. All parameters, such as lift, drag, restitution, friction coefficients and roughness height, have been set on the basis of a reanalysis of these published data.
Rocznik
Strony
31--50
Opis fizyczny
Bibliogr. 21 poz., rys., tab.
Twórcy
  • Institute of Geophysics, Polish Academy of Sciences, 01-452 Warszawa, Ks. Janusza 64, Poland
Bibliografia
  • Auton T. R. (1987) The lift force on a spherical body in a rotational flow. J. Fluid Mech., 183, 199–218.
  • Bagnold R. A. (1956) The flow of cohesionless grains in fluids, Phil. Trans. R. Soc. London A, 249, 235–297.
  • Bialik R. (2011) Particle-particle collision in Lagrangian modeling of saltating grains, Journal of Hydraulic Research, 49(1), 23–31.
  • Bialik R. (2010) Modeling of saltating grains in river flows and transport of bed load sediment. Ph.D. Thesis (in Polish).
  • Coleman N. L. (1967) A theoretical and experimental study of drag and lift forces acting on the sphere resting on a hypothetical streambed, 12th congress of the International Association for Hydraulic Research, Fort Collins, Colo.
  • Crowe C., Sommefeld M. and Tsuji Y. (1998) Multiphase Flows with Droplets and Particles, CRC Press, Boca Raton.
  • CzernuszenkoW. (2007) The logarithmic law for flows over large relative roughness, 32nd Congress of IAHR, Venice, Italy, 1, p. 372.
  • CzernuszenkoW. (2009) Model of particle-particle interaction for saltating grains in water, Archives of Hydro-Engineering and Environmental Mechanics, 3–4.
  • Lee H-Y, Hsu I-S. (1994) Investigation of Saltating Particle Motions, Journal of Hydraulic Eng., 120 (4), 831–845.
  • Lee H.-Y., Lin Y.-T., You J.-Y., andWang H.-W. (2006) On three-dimensional continuous saltating process of sediment particles near the channel bed, Journal of Hydraulic Research, 44, (3), 374–389.
  • Lee H-Y. et al (2000) Investigations of continuous bed load saltating process, Journal of Hydraulic Engineering, 126(9), 691–99.
  • Nino Y. and Garcia M. H. (1996) Experiments on particle-turbulence interactions in the near-wall region of open channel flow, Journal of Fluid Mechanics, 326, 285–319.
  • Nino Y. and Garcia M. H. (1994) Gravel saltation, 2. Modeling, Water Resources Research 30(6), 1915–24.
  • Perry A. E., Schofield W. H., and Joubert P. N. (1969) Rough wall turbulent boundary layers, Journal of Fluid Mechanics 37, 383–413.
  • Rowinski P. M., Czernuszenko W. (1999) Modeling of sand grain paths in a turbulent open channel flow, Proc. 28th IAHR Congress, CD-ROM, Graz, Austria.
  • Schmeeckle M.W.,Nelson J. M., Shreve R. L. (2007). Forces on stationary particle in near-bed turbulent flows, Journal of Geophysical Research, 112, FD 2003, 1–23.
  • Sekine M. and Kikkawa H. (1992) Mechanics of saltating grains, II, Journal of Hydraulic Engineering, 118 (4), 536–538.
  • van Rijn L. C. (1987) Mathematical Modeling of Morphological Processes, Delft: Waterloopkundig Laboratorium.
  • Van Rijn, L. C. (1994) Principles of Sediment Transport in Rivers, Estuaries and Coastal Seas, AQUA Publications, Netherlands.
  • Wiberg P. L. and Smith J. D. (1985) A Theoretical Model for Saltating Grains in Water, Journal of Geophysical Research 90 (C4), 7341–7354.
  • Willets B. B., Naddch K. F. (1986) Measurements of lift on spheres fixed in low Reynolds number flows, J. Hydraulic Res., 24, 425–435.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1cbd5a3f-a6fa-49a4-9f78-117117afd6f1
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