Effects of Velocity Gradients and Secondary Flow on the Dispersion of Solutes in a Meandering Channel

Two contrasting mechanisms, created by channel curvature which strongly affect longitudinal dispersion of solutes in rivers are examined. In natural channels the large cross-sectional variability of the primary velocity component tends to increase longitudinal dispersion by providing a large difference between adjacent fast and slow moving zones of fluid. By contrast secondary circulation tends to decrease longitudinal dispersion by enhancing transverse mixing. A series of tests have been carried out in a very large flume containing a meandering water-formed sand bed channel to measure the longitudinal dispersion coefficient at various locations around a meander. These experimental observations are compared with experimental data obtained from meandering channels with smooth, fixed sides and regular cross-sectional shapes. All the data has been compared against predictions from two current modeling approaches. Finally, the significance of the two competing mechanisms in curved channels is discussed with regard to their relative influence on longitudinal mixing.

[1]  Ronald Smith Longitudinal dispersion coefficients for varying channels , 1983 .

[2]  P. Young,et al.  Longitudinal Dispersion in Natural Streams , 1983 .

[3]  Shoji Fukuoka,et al.  Longitudinal Dispersion in Sinuous Channels , 1973 .

[4]  P. Chatwin On the interpretation of some longitudinal dispersion experiments , 1971, Journal of Fluid Mechanics.

[5]  Ian R. Wood,et al.  Longitudinal Dispersion with Dead Zones , 1977 .

[6]  Hugo B. Fischer,et al.  The Mechanics of Dispersion in Natural Streams , 1967 .

[7]  H. Fischer Mixing in Inland and Coastal Waters , 1979 .

[8]  H. Fischer The effect of bends on dispersion in streams , 1969 .

[9]  J. W. Elder The dispersion of marked fluid in turbulent shear flow , 1959, Journal of Fluid Mechanics.

[10]  I. Guymer,et al.  Closure of "Longitudinal Dispersion in Sinuous Channel with Changes in Shape" , 1998 .

[11]  A. Elliott,et al.  Transfer of nonsorbing solutes to a streambed with bed forms: Theory , 1997 .

[12]  Hugo B. Fischer,et al.  Chapter 5 – Mixing in Rivers , 1979 .

[13]  P. Chatwin Presentation of Longitudinal Dispersion Data , 1980 .

[14]  Joby Boxall,et al.  Transverse mixing in sinuous natural open channel flows , 2003 .

[15]  Geoffrey Ingram Taylor,et al.  The dispersion of matter in turbulent flow through a pipe , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  A. Elliott,et al.  Transfer of nonsorbing solutes to a streambed with bed forms: Laboratory experiments , 1997 .

[17]  M. Tubino,et al.  Weakly nonlinear theory of regular meanders , 1992, Journal of Fluid Mechanics.

[18]  P. Smart,et al.  An evaluation of some fluorescent dyes for water tracing , 1977 .