Technical Papers
Aug 31, 2012

Spatially Variable Dispersion Coefficients in Meandering Channels

Publication: Journal of Hydraulic Engineering
Volume 139, Issue 2

Abstract

To analyze the spatial variability of two-dimensional dispersion coefficients in meandering channels, an observed dispersion tensor was calculated by applying a theoretical equation to the measured velocity profiles of two laboratory channels. From the observed dispersion tensor, local longitudinal and transverse dispersion coefficients were estimated by the least squares method. In both channels, the spatial variation in the dispersion coefficients was found to be strongly dependent on the specific location within the channel, because alternating bends in channels induces the periodic generation of secondary currents that alter the magnitude of transverse dispersion. Dimensionless transverse dispersion coefficients of each measurement section vary from 0.33 to 1.14 for the M1 channel and from 0.63 to 3.40 in the M2 channel around the entrance and apex of the second bend. The maximum negative correlation occurred near the apex of the channels because of the separation of the point of maximum primary velocity and the center of the circulation cells by the complex flow structure in the meandering channel.

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Acknowledgments

This research work was supported by the SIR (Social Infrastructure Research Group for Safe and Sustainable Development) Group of BK21 program. This research work was conducted in the Integrated Research Institute of Construction and Environmental Engineering of Seoul National University, Seoul, Korea. Authors wish to thank Mr. K. H. Sung, and K. H. Lee for carrying out the laboratory experiments. The authors are also grateful to reviewers for detailed and constructive comments on this manuscript.

References

Alavian, V. (1986). “Dispersion tensor in rotating flows.” J. Hydraul. Eng., 112(8), 771–777.
Baek, K. O. (2004). “Transverse mixing in meandering channels with unsteady pollutant source.” Ph.D. thesis, Seoul Nat. Univ., Seoul, Korea.
Baek, K. O., Seo, I. W., and Jung, S. J. (2006). “Evaluation of dispersion coefficients in meandering channels from transient tracer tests.” J. Hydraul. Eng., 132(10), 1021–1032.
Barros, F. P. J., Mills, W. B., and Cotta, R. M. (2006). “Integral transform solution of a two-dimensional model for contaminant dispersion in rivers and channels with spatially variable coefficients.” Environ. Modell. Software, 21(5), 699–709.
Boxall, J. B., and Guymer, I. (2003). “Analysis and prediction of transverse mixing coefficients in natural channels.” J. Hydraul. Eng., 129(2), 129–139.
Boxall, J. B., and Guymer, I. (2007). “Longitudinal mixing in meandering channels: New experimental data set and verification of a predictive technique.” Water Res., 41(2), 341–354.
Boxall, J. B., Guymer, I., and Marion, A. (2003). “Transverse mixing in sinuous natural open channel flows.” J. Hydraul. Res., 41(2), 153–165.
Carr, M. L., and Rehmann, C. R. (2007). “Measuring the dispersion coefficient with acoustic Doppler current profilers.” J. Hydraul. Eng., 133(8), 977–982.
Chang, Y. C. (1971). “Lateral mixing in meandering channels.” Ph.D. thesis, Univ. of Iowa, Iowa City, IA.
Chickwendu, S. C. (1986). “Calculation of longitudinal shear dispersivity using an N-zone model as N.” J. Fluid Mech., 167, 19–30.
Chow, V. T. (1959). Open-channel hydraulics, McGraw-Hill, New York.
Day, T. J. (1975). “Longitudinal dispersion in natural channels.” Water Resour. Res., 11(6), 909–918.
Demuren, A. O., and Rodi, W. (1986). “Calculation of flow and pollutant dispersion in meandering channels.” J. Fluid Mech., 172, 63–92.
De Vriend, H. J. (1979). “Flow measurements in a curved rectangular channel.”, Dept. of Civil Engineering, Laboratory of Fluid Mechanics, Delft Univ. of Technology, Delft, Netherlands.
Elder, J. W. (1959). “The dispersion of marked fluid in turbulent shear flow.” J. Fluid Mech., 5(04), 544–560.
Fischer, H. B. (1967). “The mechanics of dispersion in natural streams.” J. Hydraul. Div., 93(6), 187–215.
Fischer, H. B. (1969). “The effects of bends on dispersion in streams.” Water Resour. Res., 5(2), 496–506.
Fischer, H. B. (1978). “On the tensor form of the bulk dispersion coefficient in a bounded skewed shear flow.” J. Geophy. Res., 83(C5), 2373–2375.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J., and Brooks, N. H. (1979). Mixing in inland and coastal waters, Academic Press, London.
Fukuoka, S. (1971). “Longitudinal dispersion in sinous channels.” Ph.D. thesis, Univ. of Iowa, Iowa City, IA.
Holley, E. R., and Abraham, G. (1973). “Field tests on transverse mixing in rivers.” J. Hydraul. Div., 99(HY12), 2313–2331.
Jamali, M., Lawrence, G. A., and Maloney, K. (2005). “Dispersion in varying-geometry rivers with application to methanol releases.” J. Hydraul. Eng., 131(5), 390–396.
Jobson, H. E., and Sayre, W. W. (1970). “Predicting concentration profiles in open channels.” J. Hydraul. Div., 96(HY10), 1983–1996.
Lawson, C. L., and Hanson, R. J. (1974). Solving least squares problems, Prentice-Hall, Englewood Cliffs, NJ.
Lee, M. E., and Seo, I. W. (2010). “2D finite element pollutant transport model for accidental mass release in rivers.” KSCE J. Civ. Eng., 14(1), 77–86.
Liang, D., Wang, X., Falconer, R. A., and Bockelmann-Evans, B. N. (2010). “Solving the depth-integrated solute transport equation with a TVD-MacCormack scheme.” Environ. Modell. Software, 25(12), 1619–1629.
Marion, A., and Zaramella, M. (2006). “Effects of velocity gradients and secondary flow on the dispersion of solutes in a meandering channel.” J. Hydraul. Eng., 132(12), 1295–1302.
Marivoet, J. L., and Van Craenenbroeck, W. (1986). “Longitudinal dispersion in ship canals.” J. Hydraul. Res., 24(2), 123–132.
Nordin, C. F., and Troutman, B. M. (1980). “Longitudinal dispersion in rivers: The persistence of skewness in observed data.” Water Resour. Res., 16(1), 123–128.
Piasecki, M., and Katopodes, N. D. (1999). “Identification of stream dispersion coefficients by adjoint sensitivity method.” J. Hydraul. Eng., 125(7), 714–724.
Rozovskii, I. L. (1957). Flow of water in bends of open channels. Academy of Science of Ukrainian SSR, Russia.
Rozovskii, I. L. (1961). Flow of water in bends of open channels, Israel Program for Scientific Translation, Jerusalem, Israel.
Rutherford, J. C. (1994). River mixing, Wiley, Chichester, UK.
Sayre, W. W. (1973). “Natural mixing processes in rivers.” Environmental impact on rivers, H. W. Shen, ed., Dept. of Civil Engineering, Colorado State Univ., Fort Collins, CO, 6.1–6.37.
Sayre, W. W., and Yeh, T. (1973). “Transverse mixing characteristics of the Missouri River downstream from the Cooper Nuclear Station.”, Iowa Institute of Hydraulic Research, Iowa City, IA.
Seo, I. W., Lee, M. E., and Baek, K. O. (2008). “2D modeling of heterogeneous dispersion in meandering channels.” J. Hydraul. Eng., 134(2), 196–204.
Seo, I. W., and Park, S. W. (2007). “2-D tracer tests on pollutant mixing in meandering channel.” Proc., 4th CECAR, Asian Civil Engineering Coordinating Council (ACECC).
Shen, C., Niu, J., Anderson, E. J., and Phanikumar, M. S. (2010). “Estimating longitudinal dispersion in rivers using acoustic Doppler current profilers.” Adv. Water Resour., 33(6), 615–623.
Young, W. R., Rhines, P. B., and Garrett, C. J. R. (1982). “Shear-flow dispersion, internal waves and horizontal mixing in the ocean.” J. Phys. Oceanogr., 12(6), 515–527.
Yotsukura, N., Fischer, H. B., and Sayre., W. W. (1970). “Measurement of mixing characteristics of the Missouri River between Sioux City, Iowa and Plattsmouth, Nebraska.”, U.S. Geological Survey, Reston, VA.

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 139Issue 2February 2013
Pages: 141 - 153

History

Received: Jun 23, 2011
Accepted: Aug 28, 2012
Published online: Aug 31, 2012
Published in print: Feb 1, 2013

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Authors

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Myung Eun Lee [email protected]
Research Professor. Dept. of Civil and Environmental Engineering, Seoul Nat. Univ., Seoul 151-744, Korea. E-mail: [email protected]
Member, Professor, Dept. of Civil and Environmental Engineering, Seoul Nat. Univ., Seoul 151-744, Korea (corresponding author). E-mail: [email protected]

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