Multiple-timescale analysis of Taylor dispersion in converging and diverging flows

Journal of Fluid Mechanics

Volumn 311, Issue , 1996, Pages 343-359

  Bryden, Michelle D ^a   Brenne, R Howard ^a  

^a Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DUCTS; FLUID MECHANICS; MODELLING-MATHEMATICAL; TAYLOR DISPERSION;

AXIAL FLOW; BOUNDARY LAYER FLOW; DISPERSIONS; DUCTS; FLOW OF FLUIDS; PROBABILITY; REYNOLDS NUMBER;

MULTIPLE TIMESCALE ANALYSIS; PECLET NUMBER; SOLUTE PROBABILITY DENSITY; TAYLOR DISPERSION; VENTURI TUBE;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0030088180     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096002625     Document Type: Article

References (20)

1. ACKERBERG, R. C. 1965 The viscous incompressible flow inside a cone. J. Fluid Mech. 21, 47-81.
2. ARIS, R. 1956 On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. A 235, 66-77.
3. BRENNER, H. & EDWARDS, D. A. 1993 Macrotransport Processes. Butterworth-Heinemann.
4. CARSLAW, H. S. & JAEGER, J. C. 1959 Conduction of Heat in Solids. Oxford University Press.
5. CHATWIN, P. C. 1970 The approach to normality of the concentration distribution of a solute in a solvent flowing along a straight pipe. J. Fluid Mech. 20, 321-352.
6. FRANKEL, I. & BRENNER, H. 1991 Generalized Taylor dispersion phenomena in unbounded shear flows. J. Fluid Mech. 230, 147-181.
7. GILL, W. N. 1967 Analysis of axial dispersion with time variable flow. Chem. Engng Sci. 22, 1013-1017.
8. GILL, W. N. & GÜCERI, U. 1971 Laminar dispersion in Jeffrey-Hamel flows: Part 1. Diverging channels. AIChE J. 17, 207-214.
9. GOLDSTEIN, S. 1965a Modern Developments in Fluid Dynamics, vol. 1. Dover (reprint).
10. GOLDSTEIN, S. 1965b On backward boundary layers and flow in converging passages. J. Fluid Mech. 21, 33-45.
11. HAPPEL, J. & BRENNER, H. 1983 Low Reynolds Number Hydrodynamics. Kluwer.
12. MERCER, G. N. & ROBERTS, A. J. 1990 Centre manifold description of contaminant dispersion in channels with varying flow properties. SIAM J. Appl. Maths 50, 1547-1565.
13. PAGITSAS, M., NADIM, A. & BRENNER, H. 1986 Multiple time scale analysis of macrotransport processes. Physica 135A, 533-550.
14. ROUSE, H. 1959 Advanced Mechanics of Fluids. Wiley.
15. SAMPSON, R. A. 1891 On Stoke's current function. Phil. Trans. R. Soc. Lond. A 182. 449-518.
16. SMITH, R. 1983 Longitudinal dispersion coefficients for varying channels. J. Fluid Mech. 130, 299-314.
17. TAYLOR, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. 21, 196-212.
18. TAYLOR, G. I. 1953 Dispersion of soluble matter in a solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 219, 186-203.
19. TAYLOR, G. I. 1954 Conditions under which dispersion of a solute in a stream of solvent can be used to measure molecular diffusion. Proc. R. Soc. Lond. A 225, 473-477.
20. WOODING, R. A. 1960 Instability of a viscous fluid of variable density in a vertical Hele-Shaw cell. J. Fluid Mech. 7, 501-515.