The effect of aspect ratio on longitudinal diffusivity in rectangular channels

Journal of Fluid Mechanics

Volumn 120, Issue , 1982, Pages 347-358

  Chatwin, P C ^a   Sullivan, Paul J ^b  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CANAL; ESTUARY; RIVER;

DIFFUSION;

FLOW OF FLUIDS;

EID: 0020330954     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112082002791     Document Type: Article

References (24)

1. Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. Dover.
2. Allen, C. M. 1982 Numerical simulation of contaminant dispersion in estuary flows. Proc. R. Soc. Lond. A (to appear).
3. Aris, R. 1956 On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. A 235, 67.
4. Chatwin, P. C. 1970 The approach to normality of the concentration distribution of solute in solvent flowing along a straight pipe. J. Fluid Mech. 43, 321.
5. Chatwin, P. C. 1971 On the interpretation of some longitudinal dispersion experiments. J. Fluid Mech. 48, 689.
6. Chatwin, P. C. 1972 The cumulants of the distribution of concentration of a solute dispersing in solvent flowing through a tube. J. Fluid Mech. 51, 63.
7. Chatwin, P. C. 1973 A calculation illustrating effects of the viscous sub-layer on longitudinal dispersion. Quart. J. Mech. Appl. Math. 26, 427.
8. Chatwin, P. C. 1977 The initial development of longitudinal dispersion in straight tubes. J. Fluid Mech. 80, 33.
9. Chatwin, P. C. 1980 Presentation of longitudinal dispersion data. J. Hydraul. Div. A.S.C.E. 106, 71.
10. Dewey, R. & Sullivan, P. J. 1977 The asymptotic stage of longitudinal turbulent dispersion within a tube. J. Fluid Mech. 80, 293.
11. Dewey, R. & Sullivan, P. J. 1979 Longitudinal dispersion in flows that are homogeneous in the streamwise direction. Z. angew. Math. Phys. 30, 601.
12. Doshi, M. R., Daiya, P. M. & Gill, W. N. 1978 Three dimensional laminar dispersion in open and closed rectangular conduits. Chem. Engng Sci. 33, 795.
13. Elder, J. W. 1959 The dispersion of marked fluid in turbulent shear flow. J. Fluid Mech. 5, 544.
14. Fischer, H. B. 1966 Longitudinal dispersion in laboratory and natural streams. Caltech Rep. KH-R-12.
15. Fischer, H. B. 1973 Longitudinal dispersion and turbulent mixing in open-channel flow. Ann. Rev. Fluid Mech. 5, 59.
16. Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J. & Brooks, N. H. 1979 Mixing in Inland and Coastal Waters. Academic.
17. Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics, vol. 1. M.I.T. Press. Sapfman, P. G. 1960 On the effect of the molecular diffusivity in turbulent diffusion. J. Fluid Mech. 8, 273.
18. Smith, R. 1980 Buoyancy effects upon longitudinal dispersion in wide well-mixed estuaries. Phil. Trans. R. Soc. Lond. A 296, 467.
19. Smith, R. 1981a A delay-diffusion description for contaminant dispersion. J. Fluid Mech. 105, 469.
20. Smith, R. 1981b The importance of discharge siting upon contaminant dispersion in narrow rivers and estuaries. J. Fluid Mech. 108, 43.
21. Sullivan, P. J. 1971 Longitudinal dispersion within a two-dimensional turbulent shear flow. J. Fluid Mech. 49, 551.
22. Taylor, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. 20, 196.
23. Taylor, G. I. 1953 Dispersion of soluble matter in solvent flowing through a tube. Proc. R. Soc. Lond. A 219, 186.
24. Taylor, G. I. 1954 The dispersion of matter in turbulent flow through a pipe. Proc. R. Soc. Lond. A 223, 446.