Development of an empirical equation for the transverse dispersion coefficient in natural streams

In this study, a new empirical equation for the transverse dispersion coefficient has been developed based on the hydraulic and geometric parameters in natural streams using a regression technique. First, a total of 32 data sets in 16 streams were collected. Among those sets, 16 sets were used for deriving the new equation, and the other 16 sets were used for verifying the equation. Then, through dimensional analysis, it was found that the normalized transverse dispersion coefficient is associated with several parameters such as sinuosity, aspect ratio, and a friction term. The robust least square method was applied to estimate regression coefficients. The newly proposed equation was proven to be superior in explaining the dispersion characteristics of natural streams more precisely compared to the existing equations.

[1]  Y. Lau,et al.  Modeling Transverse Mixing in Natural Streams , 1981 .

[2]  S. Beltaos,et al.  A field study of longitudinal dispersion , 1978 .

[3]  Il Won Seo,et al.  Estimation of the Longitudinal Dispersion Coefficient using the Velocity Profile in Natural Streams , 2004 .

[4]  William Dumouchel,et al.  Integrating a robust option into a multiple regression computing environment , 1992 .

[5]  Forrest M. Holley,et al.  Field Calibration of Stream-Tube Dispersion Model , 1983 .

[6]  K. Baek,et al.  Analysis of transverse mixing in natural streams under slug tests , 2006 .

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

[8]  Hugo B. Fischer,et al.  Longitudinal Dispersion and Turbulent Mixing in Open-Channel Flow , 1973 .

[9]  S. Beltaos.  Transverse Mixing Tests in Natural Streams , 1980 .

[10]  Joby Boxall,et al.  Analysis and Prediction of Transverse Mixing Coefficients in Natural Channels , 2003 .

[11]  Il Won Seo,et al.  Predicting Longitudinal Dispersion Coefficient in Natural Streams , 1998 .

[12]  M. K. Bansal.  Dispersion in Natural Streams , 1971 .

[13]  W. W. Sayre,et al.  Transverse mixing in natural channels , 1976 .

[14]  Hugo B. Fischer,et al.  Measurement of mixing characteristics of the Missouri River between Sioux City, Iowa, and Plattsmouth, Nebraska , 1970 .

[15]  N. Yotsukura,et al.  Transverse diffusion of solutes in natural streams , 1972 .

[16]  I. L. Rozovskii,et al.  Flow of water in bends of open channels , 1957 .

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