Longitudinal dispersion by bodies fixed in a potential flow

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1990, 1999, Pages 3665-3686

  Eames, I ^a   Bush, J W M ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Dispersion; Drifts; Porous media

Indexed keywords

EID: 0000467002     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0471     Document Type: Article

References (31)

1. Acrivos, A., Batchelor, G. K., Hindi, E. J., Koch, D. L. & Mauri, R. 1992 Longitudinal shear-induced diffusion of spheres in a dilute suspension. J. Fluid Mech. 240, 651-657.
2. Batchelor, G. K. 1967 An introduction to fluid dynamics. Cambridge University Press.
3. Batchelor, G. K. & Townsend, A. A. 1956 Turbulent diffusion. In Surveys in mechanics, pp. 352-399. Cambridge University Press.
4. Bear, J. 1972 Dynamics of fluids in porous media. New York: Dover.
5. Bhaga, D. & Weber, M. E. 1981 Bubbles in viscous liquids: shapes, wakes and velocities. J. Fluid Mech. 105, 61-85.
6. Bush, J. W. M. & Eames, I. 1998 Fluid displacement by high Re number bubbles in a thin gap. Int. Jl Multiphase Flow 24, 411-430.
7. Chang, C. C. 1992 Potential flow and forces for incompressible viscous flow. Proc. R. Soc. Lond. A 437, 517-525.
8. Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, drops and particles. New York: Academic.
9. Dagan, G. 1984 Solute transport in hetergeneous porous formations. J. Fluid Mech. 145, 151-177.
10. Dagan, G. 1987 Theory of solute transport by groundwater. A. Rev. Fluid Mech. 19, 183-215.
11. Drazin, P. G. 1961 On the steady flow of fluid of variable density past on obstacle. Tellus 13, 239-251.
12. Darwin, C. 1953 A Note on hydrodynamics Proc. Camb. Phil. Soc. 49, 342-354.
13. Eames, I., Belcher, S. E. & Hunt, J. C. R. 1994 Drift, partial drift and Darwin's proposition. J. Fluid Mech. 275, 201-223.
14. Freeze, R. A. 1975 A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media. Water Resources Res. 11, 725-741.
15. Havelock, T. 1911 The displacement of the particles in the case of fluid motion. Proc. Durham Phil. Soc. IV, 81-91.
16. Hunt, J. C. R. 1973 A theory of turbulent flow around two-dimensional bluff bodies. J. Fluid Mech. 61, 625-706.
17. Hunt, J. C. R. & Mulhearn, P. J. 1973 Turbulent dispersion from sources near two-dimensional obstacles. J. Fluid Mech. 61, 245-274.
18. Jerram, N., Perkins, R. J., Fung, J. C. H., Davidson, M. J., Belcher, S. E. & Hunt, J. C. R. 1995 Atmospheric flow through groups of buildings and dispersion from localised sources. In Wind climate in cities (cd. J. E. Cerrank, A. G. Davenport, E. J. Plate & D. X. Viegas), pp. 109-130. Dordrecht: Kluwer.
19. Koch, D. L. & Brady, J. F. 1985 Dispersion in fixed beds. J. Fluid Mech. 154, 399-427.
20. Magnico, P., Leroy, C., Brouchaud, J. P., Gaulthier, C. & Hulin, J. P. 1993 Tracer dispersion in porous media with double porosity. Phys. Fluids 5, 46-57.
21. Maxwell, J C 1870 On the displacement in a case of fluid motion. Froc. Lond. Math. Soc. 3, 82-97.
22. Moore D 1965 The velocity of rise of a distorted gas bubble in a liquid of small viscosity. J. Fluid Mech. 23, 749-765.
23. Phillips O. M. 1991 Flow and reaction in permeable rocks. Cambridge University Press.
24. Pozrikidis, C. 1996 Introduction to theoretical and computational fluid dynamics. Oxford University Press.
25. Rankine, W. J. M. 1864 On plane water-lines in two dimensions. Phil. Trans. R. Soc. Lond. A 154, 369-391.
26. Rowe, P. N. 1962 The effect of bubbles in gas-solid contacting in fluidized beds. Chem. Engng Prog. Symp. 58, 42-56.
27. Saffman, P. G. 1959 A theory of dispersion in a porous medium. J. Fluid Mech. 6, 321-349.
28. Taylor, G. I. 1928 The energy of a body moving in an infinite fluid, with an application to airships. Proc. R. Soc. Lond. A 120, 13-21.
29. Weng, W. S. & Carruthers, D. J. 1994 Modelling turbulent diffusion from a point source in strongly stratified flow around a three-dimensional arbitrarily shaped hill. In IMA stably stratified flows: flow and dispersion over topography (ed. I. P. Castro & N. J. Rockliff), pp. 263-274. Oxford University Press.
30. Wheatcraft, S. W., Sharp, G. A. & Tyler, S. W. 1990 Fluid flow and transport in fractal heterogeneous porous media. In Dynamics of fluids in hierarchical porous media (ed. J. H. Cushman), pp. 305-326. New York: Academic.
31. Yih, C.-S. 1985 New derivations of Darwin's theorem. J. Fluid Mech. 152, 163-172.