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Abstrakty
A model of particle-particle interaction for bed sediment-laden flows, based on impulse equations, is presented. The model is applicable to dense flows in which particle motion is dominated by collisions. The model takes into account the possibility of sliding during the collision process. However, particle rotation is not considered in this model. The governing equations do not incorporate dimension of angular momentum. To verify this model, calculation of post-collision velocities was performed for several different collision simulations. The term of particle-particle interaction is implemented into a general Lagrangian model of trajectory of a sediment grain in a fluid flow. This general Lagrangian model is written according to Newton's second law; the rate of change of momentum of a particle is balanced against the surface and body forces.
Słowa kluczowe
Rocznik
Tom
Strony
101--120
Opis fizyczny
Bibliogr. 18 poz., il.
Twórcy
autor
- Institute of Geophysics, Polish Academy of Sciences, 01-452 Warszawa, Ks. Janusza 64, Poland, wczer@igf.edu.pl
Bibliografia
- 1. Abbot J. E. and Francis J. R. D. (1977) Saltation and suspension trajectories of solid grains in a water, Philos. Trans. R. Soc. London A., 284, 225–254.
- 2. Bagnold R. A. (1956) The flow of cohesionless grains in fluids, Phil. Trans. R. Soc. London A, 249, 235–297.
- 3. Crowe C., M. Sommerfeld and Y. Tsuji (1998) Multiphase Flows With Droplets and Particles, CRC Press, Boca Raton.
- 4. Elghobashi S. (1994) On Predicting Particle-Laden Turbulent Flows, Applied Scientific Research, 52 (4), 309–329.
- 5. Hinze J. O. (1975) Turbulence, McGraw-Hill Inc., New York.
- 6. Lee H.-Y. et al (2000) Investigations of continuous bed load saltating process, Journal of Hydraulic Engineering, 126 (9), 691–699.
- 7. Lee H.-Y., Lin Y.-T., You J.-Y. and Wang H.-W. (2006) On three-dimensional continuous saltating process of sediment particles near the channel bed, Journal of Hydraulic Research, 44 (3), 374–389.
- 8. Lukerchenko N., Chara Z. and Vlasak P. (2006) 2D Numerical model of particle-bed collision in fluid-particle flows over bed, Journal of Hydraulic Research, 44 (1), 70–78.
- 9. Nino Y., Garcia M. H. and Ayala L. (1994) Gravel saltation; 1. Experiments, Water Resource Research, 30 (6), 1907–1914.
- 10. 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.
- 11. Nino Y. and Garcia M. H. (1998) Using Lagrangian particle saltation observations for bedload sediment transport modeling, Hydrological Processes 12, 1197-1218.
- 12. Reif F. (1967) Statistical Physics: Berkeley Physics Course, McGraw-Hill Book Company, New York.
- 13. 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.
- 14. Sekine M. and Kikkawa H. (1992) Mechanics of saltating grains. II, Journal of Hydraulic Engineering, 118 (4), 536–58.
- 15. Van Rijn L. C. (1987) Mathematical Modeling of Morphological Processes, Delft: Waterloopkundig Laboratorium.
- 16. Van Rijn L. C. (1990) Principles of Sediment Transport in Rivers, Estuaries and Coastal Seas, Nederlandes.
- 17. Wiberg P. L. and Smith J. D. (1989) Model for calculating bed load transport of sediment, Journal of Hydraulic Engineering, 115 (1) 101–23.
- 18. Wiberg P. L. and Smith J. D. (1985) A Theoretical Model for Saltating Grains in Water, Journal of Geophysical Research, 90 (C4), 7341–7354.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATA-0009-0091