Abstract
One of the more important features of turbulent flow is its ability to disperse contaminants. But, because the most convenient way of describing the turbulent field is in terms of Eulerian or “laboratory” coordinates, and particle dispersion is naturally expressed in Lagrangian or “material” coordinates, dispersion is not well predicted quantitatively. The principal difficulty is that the two-point Eulerian statistics which characterize the velocity field do not admit to unique two-point Lagrangian displacement statistics which describe particle dispersion.
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References
Brier, G. W. (1950), “The statistical theory of turbulence and the problem of diffusion in the atmosphere.” J. of Meteorology, 7–4, pp. 283–290.
Bugliarello, G. and E. D. Jackson, III (1964), “Random walk study of convective diffusion.” J. Engrg Mech. Div., Proc. ASCE, 90, EM4, pp. 49–77.
Corrsin, S. (1962), “Theories of turbulent dispersion.” Mecanique de la Turbulence, Colloques Int’l du C.N.R.S., No. 108, Marseille, 1961, pp.27–52.
Einstein, A. (1955, “Uber die von der molekularkinetischen Theorie der Warme geforderte Bewegung von in ruhenden Flussigkeiten suspendierten Teilchen.” Ann. d. Physik, 17, p. 549.
Hinze, J. O. (1975), Turbulence, McGraw-Hill, New York.
Jin, G. (1984), “Particle dispersion on bi-directional-binary two-dimensional, incompressible velocity fields.” Master’s Essay, The Johns Hopkins University, Baltimore.
Karweit, M. J. and S. Corrsin (1972), “Simple and compound line growth in random walks.” Lecture Notes in Physics, 12, Springer-Verlag, Berlin, pp. 317–326.
Karweit, M. (1984), “Dispersion of particles in bi-directional-binary, two-dimensional, incompressible velocity fields: some numerical experiments.” Comp. Methods and Exp. Measurements, Proc. 2nd Int’l Conf., New York/Southampton, in press.
Kraichnan, R. H. (1963), “Direct-interaction approximation for a system of several interacting simple shear waves.” Phys. Fluids, 6–11, pp. 1603–1609.
Lorenz, E. N. (1960), “Maximum simplification of the dynamic equations.” Tellus, 12–1, pp. 243–254.
Lumley, J. L., and S. Corrsin (1959), “A random walk with both Lagrangian and Eulerian statistics.” Advances in Geophysics, 6, pp. 179–184.
Patterson, G. S., Jr. (1958) Private communication.
Patterson, G. S. Jr. and S. Corrsin (1966) “Computer experiments on random walks with both Eulerian and Lagrangian Statistics.” Dynamics of Fluids and Plasmas, Academic Press, New York, pp. 27 5–3 07.
Taylor, G. I. (1921), “Diffusion by continuous movements.” Proc. London Math. Soc, A, vol. 20, p. 196.
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Karweit, M. (1985). Random Incompressible Motion on Two and Three-Dimensional Lattices and Its Application to the Walk on a Random Field. In: Davis, S.H., Lumley, J.L. (eds) Frontiers in Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46543-7_2
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DOI: https://doi.org/10.1007/978-3-642-46543-7_2
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