Abstract
The water quality problems of rivers and streams are controlled by the natural behaviour of the water body, which is interpreted by means of proper terms and expressions of free surface hydraulics. Pollution transport is due primarily to advection, but there are many situations in which dispersion plays an important role and cannot be neglected. In the mathematical models, the effect of dispersion is accounted by means of the dispersion coefficient, for the evaluation of which several procedures are proposed, supported by experimental studies.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Antonopoulos V, Papamichail D (1991) Stochastic analysis of water quality parameters in stream. In: Tsakiris G (ed) Proceeding of the EWRA conference advances in water resources technology, Athens, Greece. Balkema Publisher, Rotterdam, The Netherlands, pp 369–376
Ayyoubzadeh SA, Faramarz M, Mohammadi K (2004) Estimating longitudinal dispersion coefficient in rivers. In: Proceeding of the 1st Asia-Oceania Geoscience Society, APHW session, paper 56-RCW-A69, pp 1–8
Baek KO, Seo IW (2005) Estimation of transverse dispersion coefficient based on secondary flow in sinuous channels. In: Proceeding of the 31st IAHR congress, Seoul, Korea (1), p 521 (printed summary)
Bogle G (1997) Stream velocity profiles and longitudinal dispersion. J Hydraul Eng 123(9):816–820
Boxall JB, Guymer I (2003) Transverse mixing in natural open channels. In: Proceeding of the 30th IAHR congress, Thessaloniki, Greece, theme C, 1, pp 309–315
Carr ML, Rehmann CR (2005) Estimating the dispersion coefficient with an Acoustic Doppler current profiler. World Water and Environmental Resources Congress 2005, Alaska, USA
Chaiwiwatworakul P, Kazama S, Sawamoto M (2005) Influence of hydraulic characteristics to water quality in a river. In: Proceeding of the 31st IAHR congress, Seoul, Korea, vol 1, p 529 (printed summary)
Chen Y, Zhu D (2007) Study on longitudinal dispersion coefficient in trapezoidal cross-section open channels. In: Proceeding of the 32nd IAHR congress, Venezia, Italy, vol 1, p 258 (printed summary)
Czernuszenko W (1987) Dispersion coefficients identification. In: Proceedings of the 22nd IAHR congress, topics on fluvial hydraulics, Lausanne, pp 285–290
Deng ZQ (2002) Theoretical investigation into dispersion in natural rivers. Dissertation, Lund University, Lund, Sweden
Deng ZQ, Jung HS (2007) Scale-dependent dispersion in rivers. In: Proceedings of the 32nd IAHR congress, Venezia, Italy, vol 2, p 571 (printed summary)
Deng ZQ, Singh VP (2001) Longitudinal dispersion in straight rivers. J Hydraul Eng ASCE 127(11):919–927
Deng ZQ, Singh VP, Bengtsson L (2001) Longitudinal dispersion coefficient in straight rivers. J Hydraul Eng 127(11):919–927
Deng ZQ, Bengtsson L, Singh VP, Adrian DD (2002) Longitudinal dispersion coefficient in single-channel streams. J Hydraul Eng 128(10):901–916
Deng ZQ, Bengtson L, Sing VP (2006) Parameter estimation for fractional dispersion model for rivers. Environ Fluid Mech 6:451–475
Diamantopoulou MJ, Antonopoulos VZ, Papamichail DM (2004) The use of a neural network technique for the prediction of water quality parameters of Axios river in Northern Greece. In: Proceedings of the EWRA symposium on water resources management: risk and challenges for the 21st century, Izmir, Turkey, pp 223–234
Elder JW (1959) The dispersion of a marked fluid in turbulent shear flow. J Fluid Mech 5(4):544–560
Fisher HB (1967) The mechanics of dispersion in natural streams. J Hydraul Div ASCE 93(6):187–216
Fisher HB (1969) The effect of bends on dispersion in streams. Water Resour Res 5(2):496–506
Fisher HB, List EJ, Koh RCY, Imberger J, Brooks NH (1979) Mixing in inland and coastal waters. Academic, New York, pp 104–138
Fukuoka S, Sayre WW (1973) Longitudinal dispersion in sinuous channels. J Hydraul Div ASCE 99(1):195–217
Givehchi M, Maghrebi M, Abrishami J (2009) New method for determination of depth-averaged velocity for estimation of longitudinal dispersion in natural rivers. J Appl Sci 9(13):2408–2415
Guymer L (1998) Longitudinal dispersion in sinuous channel with changes in shape. J Hydraul Eng ASCE 124(1):33–40
Guymer DR, Boxall J (2003) Assessing transient storage effects in a natural formed meandering channel. In: Proceedings of the 30th IAHR congress, theme B, Thessaloniki, Greece, vol 1, pp 333–348
Guymer L, O’Brien R (2000) Longitudinal dispersion due to surcharged manhole. J Hydraul Eng ASCE 126(2):137–149
Guymer I, West JR (1992) Longitudinal dispersion coefficients in Estuary. J Hydraul Eng ASCE 118(5):718–734
Haltas I (2009) Calculating the macrodispersion coefficient in the stochastic transport equation. In: Proceedings of the 33rd IAHR congress, Vancouver, Canada
Iwasa Y, Aya S (1991) Predicting longitudinal dispersion coefficient in open-channel flow. In: Proceedings of the international symposium on environmental hydrology, Hong Kong
Jirka GH (2004) Mixing and dispersion in rivers. In: Greco M, Carravetta A, Della Morte R (eds) River flow 2004. Taylor & Francis, London
Kang H, Choi S-U (2007) Turbulence modelling of solute transport in open-channel flows. In: Proceedings of the 32nd IAHR congress, Venezia, Italy, vol 2, p 613 (printed summary)
Kashefipour MS, Falconer RE (2004) Longitudinal dispersion coefficients in natural channels. Water Res 36(6):1596–1608
Kashefipour SM, Falconer RA, Lin B (2002) Modelling longitudinal dispersion in natural flows using ANNs. In: Proceedings of river flow 2002, Louvain-la-Neuve, Belgium, pp 111–116
Ki-Chul K, Geon-Hyeong P, Sung-Hee J, Jung-Lyul L, Kyung-Suk S (2011) Analysis on the characteristics of a pollutant dispersion in river environment. Ann Nucl Energy 38:232–237
Kim D, Muste M, Weber L (2007) Software for assessment of longitudinal dispersion coefficients using Acoustic-Doppler Current profiler measurements. In: Proceedings of the 32nd IAHR congress, Venice, Italy, vol 1, p 73 (printed summary)
Liu H (1977) Predicting dispersion coefficient in streams. J Environ Eng Div ASCE 103(1):59–69
Magazine MK, Pathak SK, Pande PK (1998) Effect of bed and side roughness on dispersion in open channels. J Hydraul Eng 114(7):766–782
McQuivey RS, Keefer TN (1976) Convective model of longitudinal dispersion. J Hydraul Div ASCE 102(10):1409–1424
Nordin CF, Troutman BM (1980) Longitudinal dispersion in rivers: the persistence of skewness in observed data. Water Resour Res 16(1):123–128
Pannone M (2007) Longitudinal dispersion in straight channels: the Lagrangian approach. In: Proceedings of the 32nd IAHR congress, Venezia, Italy, vol 2, p 575 (printed summary)
Piotrowski A (2005) Application of neural networks for longitudinal dispersion coefficient assessment. Geophys Res Abstr 7:976
Ranga-Raju KG (1987) Longitudinal dispersion coefficients in open channels. In: Proceedings of the 22nd IAHR congress, topics on fluvial hydraulics, Lausanne, Switzerland, pp 251–257
Riahi-Madvar H, Ayyoubzadeh S (2010) Developing an expert system for predicting pollutant dispersion in natural streams. In: Petrica V (ed) Expert systems. INTECH, Croatia, pp 224–238
Rowinski PM, Piotrowski A, Napiorkowski JJ (2005) Are artificial neural network techniques relevant for the estimation of longitudinal dispersion coefficient in rivers? Hydrol Sci J 50(1):175–187
Rutherford JC (1994) River mixing. Wiley, Chichester
Seo IW, Baek KO (2004) Estimation of the longitudinal dispersion coefficient using the velocity profile in natural streams. J Hydraul Eng 130(3):227–236
Seo IW, Cheong TS (1998) Prediction of longitudinal dispersion coefficient in natural streams. J Hydraul Eng 124(1):25–32
Seo IW, Maxwell HC (1992) Modeling low-flow mixing through pools and rifles. J Hydraul Eng 118(10):1406–1423
Shen HT (1980) Longitudinal dispersion in natural streams. In: Proceedings of the international conference on water resources development. IAHR, Taipei, China, vol 2, pp 641–650
Singh SK, Beck MB (2003) Dispersion coefficient of streams from tracer experiment data. J Environ Eng 129:539–546
Sooky AA (1969) Longitudinal dispersion in open channels. J Hydraul Div ASCE 95(4):1327–1346
Tayfur G (2009) GA-optimized model predicts dispersion coefficient in natural channels. Hydrol Res 40(1):65–78
Tayfur G, Singh VP (2005) Predicting longitudinal dispersion coefficient in natural streams by artificial neural networks. J Hydraul Eng 131(11):991–1000
Taylor GI (1953) Dispersion of soluble matter in solvent flowing slowly through a tube. Proc R Soc Lond A 219:186–203
Taylor GI (1954) The dispersion of matter in turbulent flow through a pipe. Proc R Soc Lond A 223:446–468
Wallis SG, Piotrowski A, Rowinski PM, Napiorkowski J (2007) Prediction of dispersion coefficients in a small stream using Artificial Neural Networks. In: Proceedings of the 32nd IAHR congress, Venezia, Italy, vol 2, p 517 (printed summary)
Yongcan Chen, Dejun Z (2007) Study on longitudinal dispersion coefficient in trapezoidal cross-section open channels. In: Proceedings of the 32nd IAHR congress, Venezia, Italy, vol 1, p 258 (printed summary)
Yuan D, Lin B, Tao J, Jian S (2007) Pollutant transport and mixing in water field. In: Proceedings of the 32nd IAHR congress, Venezia, Italy, vol 1, p 252 (printed summary)
Zhen-Gang Ji (2008) Hydrodynamics and water quality. Modeling rivers. Lakes and estuaries. Wiley-Interscience, Hoboken
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Benedini, M., Tsakiris, G. (2013). Dispersion in Rivers and Streams. In: Water Quality Modelling for Rivers and Streams. Water Science and Technology Library, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5509-3_5
Download citation
DOI: https://doi.org/10.1007/978-94-007-5509-3_5
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5508-6
Online ISBN: 978-94-007-5509-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)