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Calculation of longitudinal shear dispersivity using an N-zone model as N → ∞

Published online by Cambridge University Press:  21 April 2006

S. C. Chikwendu
S. C. Chikwendu
Affiliation:
Applied Mathematics Program, University of Washington, Seattle, Washington
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Abstract

A new method is presented for deriving an integral expression for calculating the large-time longitudinal shear dispersivity in laminar or turbulent two-dimensional channel flow or tube flow.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 167 , June 1986 , pp. 19 - 30
Copyright
© 1986 Cambridge University Press

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References

Akis, R. 1956 On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. A 235, 67.Google Scholar
Batchelor, G. K., Binnie, A. M. & Phillips, O. M. 1955 The mean velocity of discrete particles in turbulent flow in a pipe. Proc. Phys. Soc. B 68, 1095.
Brenner, H. 1980 Dispersion resulting from flow through spatially periodic porous media. Phil. Trans. R. Soc. Lond. A 297, 81.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1982 The effect of aspect ratio on longitudinal diffusivity in rectangular channels. J. Fluid Mech. 120, 347.Google Scholar
Chikwendu, S. C. 1986a Application of a slow-zone model to contaminant dispersion in laminar shear flows. Intl. J. Engng Sci. (to appear).Google Scholar
Chikwendu, S. C. 1986b The exact solution of a slow zone model for contaminant dispersion in shear flows. SIAM J. Appl. Maths (to appear).Google Scholar
Chikwendu, S. C. & Ojiakor, G. U. 1985 Slow-zone model for longitudinal dispersion in two-dimensional shear flows. J. Fluid Mech. 152, 15.Google Scholar
Doshi, M. R., Daiya, P. M. & Gill, W. N. 1978 Three dimensional laminar dispersion in open and closed rectangular ducts. Chem. Engng Sci. 33, 795.Google Scholar
Elder, J. W. 1959 The dispersion of marked fluid in turbulent shear flow. J. Fluid Mech. 5, 546.Google Scholar
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J. & Bsrooks, N. H. 1979 Mixing in Inland and Coastal Waters. Academic.
Gill, W. M. & Sankarasubramanian, R. 1970 Exact analysis of unsteady convective diffusion. Proc. R. Soc. Lond. A 316, 341.Google Scholar
Jimenez, C. & Sullivan, P. J. 1984 Contaminant dispersion in some time dependent laminar flows. J. Fluid Mech. 142, 57.Google Scholar
Lumley, J. L. 1972 Application of central limit theorems to turbulence problems. In Statistical Models and Turbulence (ed. M. Rosenblatt & C. Van Atta), pp. 1–26. Springer.
Maron, V. I. 1978 Longitudinal diffusion in a flow through a tube. Intl J. Multiphase Flow 4, 339–355.Google Scholar
Smith, R. 1981 A delay-diffusion description for contaminant dispersion. J. Fluid Mech. 105. 469.Google Scholar
Smith, R. 1982 Non-uniform discharges of contaminants in shear flows. J. Fluid Mech. 120, 71.Google Scholar
Sullivan, P. J. 1971 Longitudinal dispersion within a two-dimensional turbulent shear flow. J. Fluid Mech. 49, 551.Google Scholar
Taylor, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 219, 196.Google Scholar
Taylor, G. I. 1954 The dispersion of matter in turbulent flow through a pipe. Proc. R. Soc. Lond. A 223, 446.Google Scholar
Thacker, W. C. 1976 A solvable model of shear dispersion. J. Phys. Oceanogr. 6, 66.Google Scholar