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Numerical studies of steady flow dispersion at low Dean number in a gently curving tube

Published online by Cambridge University Press:  21 April 2006

Mark Johnson  and
Roger D. Kamm
Mark Johnson
Affiliation:
Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Roger D. Kamm
Affiliation:
Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Abstract

Using both Monte Carlo and numerical techniques, Taylor dispersion in a curved tube at low Dean numbers has been evaluated and the results are in qualitative agreement with those found by Janssen (1976): Dn2Sc is the controlling parameter with Df falling to about 0.2 of its straight-tube value at high values of Dn2Sc. Agreement with available experimental data is generally good. Further, we find that for large Dn2Sc, the transition from convective to diffusive dispersion occurs earlier than in straight-tube flow, but only by a factor of two.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 172 , November 1986 , pp. 329 - 345
Copyright
© 1991 Cambridge University Press

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References

Allen C.1982 Numerical simulation of contaminant dispersion in estuary flows Proc. R. Soc. Lond. A 381, 179–194.Google Scholar
van Andel, E., Kramers, H. & Voogd, A. 1964 The residence time distribution of laminar flow in curved tubes. Chem. Engng Sci. 19, 77–78.Google Scholar
Andersson, B. & Berglin T.1981 Dispersion in laminar flow through a circular tube Proc. R. Soc. Lond. A 337, 251–268.Google Scholar
van den Berg, J. H. M. & Deelder, R. S. 1979 Measurement of axial dispersion in laminar flow through coiled capillary tubes. Chem. Engng Sci. 34, 1345–1347.Google Scholar
Chatwin P. C.1970 The approach to normality of the concentration distribution of a solute in a solvent flowing in a straight pipe. J. Fluid Mech. 43, 321–352.Google Scholar
Dean W. R.1927 Note on the motion of fluid in a curved pipe Phil. Mag. S7 4, 208–223.Google Scholar
Dean W. R.1928 The streamline motion of fluid in a curved pipe Phil. Mag. S7 5, 673–695.Google Scholar
Erdogan, M. E. & Chatwin P. C.1967 The effects of curvature and buoyancy on the laminar dispersion of solute in a horizontal tube. J. Fluid Mech. 29, 465–484.Google Scholar
Janssen L. A. M.1976 Axial dispersion in laminar flow through coiled tubes. Chem. Engng Sci. 31, 215–218.Google Scholar
Jimenez, C. & Sullivan P. J.1984 Contaminant dispersion in some time-dependent laminar flows. J. Fluid Mech. 57–77.Google Scholar
Nigam, K. D. P. & Vasudeva K.1976 Influence of curvature and pulsations on laminar dispersion. Chem. Engng Sci. 31, 835–837.Google Scholar
Nunge R. J., Lin, T.-S. & Gill N.1972 Laminar dispersion in curved tubes and channels. J. Fluid Mech. 51, 363–383.Google Scholar
Rhines, P. B. & Young W. R.1983 How rapidly is a passive scalar mixed within closed streamlines? J. Fluid Mech. 133, 133–145.Google Scholar
Ruthven D. M.1971 The residence time distribution for ideal laminar flow in a helical tube. Chem. Engng Sci. 26, 1113–1121.Google Scholar
Shetty, V. D. & Vasudeva K.1977 Effect of Schmidt number on laminar dispersion in helical coils. Chem. Engng Sci. 32, 782–783.Google Scholar
Taylor G. I.1953 Dispersion of soluble matter in solvent flowing slowly through a tube Proc. R. Soc. Lond. A 219, 186–203.Google Scholar
Topakoglu H. C.1967 Steady laminar flows of an incompressible viscous fluid in curved pipes. J. Math. Mech. 16, 1321–1338.Google Scholar
Trivedi, R. N. & Vasudeva K.1975 Axial dispersion in laminar flow in helical coils. Chem. Engng Sci. 30, 317–325.Google Scholar