Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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A Lagrangian Stochastic Model for Turbulent Dispersion

  • Lee, Changhoon (School of Electrical and Mechanical Engineering, Yonsei University) ;
  • Kim, Byunggu (School of Electrical and Mechanical Engineering, Yonsei University) ;
  • Kim, Namhyun (Department of Applied Mathematics, Hongik University)
  • Published : 2001.12.01
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Abstract

A Lagrangian stochastic model is adopted for the calculations of turbulent dispersion in turbulent channel flows. Dispersion of a fluid particle and relative dispersion between two particles released at the sane location are investigated and compared with the classical seating relations for homogeneous turbulence. The viscous effect is realized by adding a Browinian random walk to the calculation of the position of a particle. The near-wall accumulation of particles is examined.

Keywords

References

  1. Dreeben, T. D. and Pope, S. B. , 1998, 'Probability Density Function/Monte Carlo Simulation of Near-Wall Turbulent flows,' Journal of Fluid Mechanics, Vol. 357, pp. 141-166
  2. Choi, J. and Lee, C, 2001, 'Numerical Study of Shear- Enhanced Turbulent Diffusion,' Trans. KSME B Vol. 25, pp. 944-951
  3. Einstein, A., 1926, Investigations on the Theory of the Brownian Movement
  4. Flesch, T. K. and Wilson, J. D., 1992, 'A Two-Dimensional Trajectory-Simulation Model for Non-Gaussian, inhomogeneous Turbulence Within Plant Canopies,' Boundary-Layer Meteorology, Vol. 61, pp. 349-374
  5. Frost, W., and Moulden, T. H., 1977, Handbook of Turbulence
  6. Howarth, D. C and Pope, S. B., 1986, 'A PDF Modeling Study Self-Similar Turbulent Shear Flows,' Physics of Fluids, Vol. 30, No.4, pp. 1026-1044 https://doi.org/10.1063/1.866301
  7. Kurbanmuradov, O. and Sabelfeld, K., 2000, 'Lagrangian Stochastic Models for Turbulent Dispersion in Thc Atmospheric Boundary Layer,' Boundary-Layer Meteorology, Vol. 97, pp. 191-218
  8. Lee, C, Kim, B. and Kim, N. 2000, 'A Simple Lagrangian Pdf Model for Wall-Bounded Turbulence,' KSME International Journal, Vol. 14, pp.900-911
  9. Pope, S. B. 1985, 'Pdf Methods for Turbulent Reactivc Flows,' Progress in Energy and Combustion Sciences, 11, pp. 119-192
  10. Pope, S. B. and Chen, Y. L., 1990, 'The Velocity- Dissipation Probability Density Function Model for Turbulent Flows,' Physics of Fluids A, Vol. 2, No.8, pp. 1437-1449 https://doi.org/10.1063/1.857592
  11. Reynolds. A. M., 1998, 'On Trajectory Curvature as a Selection Criterion for Valid Lagrangian Stochastic Dispersion Models,' Boundary-Layer Meteorology, Vol. 88, pp. 77-86
  12. Silverman, B. W., 1993, Density Estimation for Statistics and Data Analysis
  13. Taylor, G. I., 1921, 'Diffusion by Continuous Movements,' Proc. London Math. Soc., 20, pp. 196-212
  14. Thomson, D. J., 1987, 'Criteria for the Selection of Stochastic Models of Particle Trajectories in Turbulent Flows,' Journal of Fluid Mechanics, Vol. 180, pp. 529-556