Some remarks on modelling the PDF of the concentration of a dispersing scalar in turbulence

Article English OPEN
Chatwin, P.C.;
(2002)
  • Publisher: Cambridge University Press
  • Subject:
    arxiv: Physics::Fluid Dynamics

The paper deals with the probability density function (PDF) of the concentration of a scalar within a turbulent flow. Following some comments about the overall structure of the PDF, and its approach to a limit at large times, attention focusses on the so-called small sc... View more
  • References (35)
    35 references, page 1 of 4

    [1] Batchelor, G. K. (1952) The effect of homogeneous turbulence on material lines and surfaces. Proc. Roy. Soc. A 213, 349-366.

    [2] Borghi, R. (1988) Turbulent combustion modelling. Prog. Energy Combust. Sci. 14, 245-292.

    [3] Chatwin, P. C., Lewis, D. M. & Mole, N. (1996) Atmospheric diffusion: some new mathematical models. Adv. in Comp. Maths. 6, 227-242.

    [4] Chatwin, P. C., Lewis D. M. & Sullivan, P. J. (1995) Turbulent dispersion and the beta distribution. Environmetrics, 6, 395-402.

    [5] Chatwin, P. C. & Zimmerman, W. B. (1998) The probability structure associated with a simple model of turbulent dispersion. Environmetrics, 9, 131-138.

    [6] Corrsin, S. (1959) Outline of some topics in homogeneous turbulent flow. J. Geophys. Res. 64, 2134-2150.

    [7] Dahm, W. J. A., Southerland, K. B. & Buch, K. A. (1991) Direct, high resolution, fourdimensional measurements of the fine scale structure of S c ≫ 1 molecular mixing in turbulent flows. Phys. Fluids A, 3, 1115-1127.

    [8] Dopazo, C. (1975) Probability density function approach for a turbulent axisymmetric heated jet. Centreline evolution. Phys. Fluids, 18, 397-404.

    [9] Dopazo, C. (1994) Recent developments in pdf methods. In: P. A. Libby and F. A. Williams, editors, Turbulent Reacting Flows, pp. 375-474. Academic Press.

    [10] Eswaran, V. & Pope, S. B. (1988) Direct numerical simulations of the turbulent mixing of a passive scalar. Phys. Fluids, 31, 506-520.

  • Metrics
Share - Bookmark