publication . Article . Preprint . 2010

Probability density function modeling of scalar mixing from concentrated sources in turbulent channel flow

Zafer Boybeyi; Jozsef Bakosi; Pasquale Franzese;
Open Access
  • Published: 22 Mar 2010 Journal: Physics of Fluids, volume 19, page 115,106 (issn: 1070-6631, eissn: 1089-7666, Copyright policy)
  • Publisher: AIP Publishing
Dispersion of a passive scalar from concentrated sources in fully developed turbulent channel flow is studied with the probability density function (PDF) method. The joint PDF of velocity, turbulent frequency and scalar concentration is represented by a large number of Lagrangian particles. A stochastic near-wall PDF model combines the generalized Langevin model of Haworth & Pope with Durbin's method of elliptic relaxation to provide a mathematically exact treatment of convective and viscous transport with a non-local representation of the near-wall Reynolds stress anisotropy. The presence of walls is incorporated through the imposition of no-slip and impermeabi...
arXiv: Physics::Fluid Dynamics
free text keywords: Condensed Matter Physics, Physics - Fluid Dynamics, Physics - Computational Physics, 76F25, 76F55, 76M35, Reynolds stress, Probability density function, Scalar (physics), Turbulence, Open-channel flow, Pipe flow, Micromixing, Classical mechanics, Mechanics, Stochastic process, Physics
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79 references, page 1 of 6

1 D. C. Haworth and S. B. Pope, “A generalized Langevin model for turbulent flows”, Phys. Fluids 29, 387 (1986), URL

2 P. A. Durbin, “A Reynolds stress model for near-wall turbulence”, J. Fluid Mech. 249, 465 (1993).

3 P. R. van Slooten, Jayesh, and S. B. Pope, “Advances in PDF modeling for inhomogeneous turbulent flows”, Phys. Fluids 10, 246 (1998), URL

4 W. P. Jones and B. E. Launder, “The prediction of laminarization with a two-equation model of turbulence”, Int. J. Heat Mass Tran. 15, 301 (1972). [OpenAIRE]

5 D. P. Bacon, N. N. Ahmad, Z. Boybeyi, T. J. Dunn, M. S. Hall, P. C. S. Lee, R. A. Sarma, M. D. Turner, K. T. W. III., S. H. Young, et al., “A dynamically adapting weather and dispersion model: The Operational Multiscale Environment Model with Grid Adaptivity (OMEGA)”, Mon. Weather Rev. 128, 2044 (2000).

6 J. C. Rotta, “Statistiche theorie nichthomogener turbulenz”, Z. Phys. 129, 547 (1951).

7 B. E. Launder, G. J. Reece, and W. Rodi, “Progress in the development of a Reynolds-stress turbulent closure”, J. Fluid Mech. 68, 537 (1975). [OpenAIRE]

8 K. Hanjali´c and B. E. Launder, “A Reynolds stress model of turbulence and its application to thin shear flows”, J. Fluid Mech. 52, 609 (1972).

9 C. G. Speziale, S. Sarkar, and T. B. Gatski, “Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach”, J. Fluid Mech. 227, 245 (1991).

10 S. B. Pope, Turbulent flows (Cambridge University Press, Cambridge, 2000).

11 R. O. Fox, Computational models for turbulent reacting flows (Cambridge University Press, 2003).

12 S. B. Pope, “Computations of turbulent combustion: progress and challenges”, Proc. Combust. Inst. 23, 591 (1990).

13 J. C. R. Hunt and J. M. R. Graham, “Free-stream turbulence near plane boundaries”, J. Fluid Mech. 84, 209 (1978).

14 E. R. van Driest, “On the turbulent flow near a wall”, J. Aeronaut. Sci. 23, 1007 (1956). [OpenAIRE]

15 Y. G. Lai and R. M. C. So, “On near wall turbulent flow modelling”, J. Fluid Mech. 221, 641 (1990).

79 references, page 1 of 6
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