Estimation of longitudinal dispersion co-efficient: A review

Abstract Accurate determination of longitudinal dispersion coefficient in rivers or streams is necessary for pollution control and management. This can be achieved through tracer studies and has proven to be a reliable method for measuring pollution spread. However, tracer studies practise which is expensive, time gulping and requiring large labour input have been substituted with empirical approaches thereby reducing the applicability of the dispersion coefficient models generated. This study reviews the various models derived as well as methods associated in the collection of tracer concentration data (measurement) existing in the literature. A sustainable approach to this study was identified and research needs were also listed.

[1]  M. Royston Pollution and society , 1979 .

[2]  Som Dutta,et al.  Prediction of longitudinal dispersion coefficients in natural rivers using genetic algorithm , 2009 .

[3]  L. Ridolfi,et al.  Estimation of the dispersion coefficient in rivers with riparian vegetation , 2009 .

[4]  Octave Levenspiel,et al.  Notes on the diffusion-type model for the longitudinal mixing of fluids in flow , 1995 .

[5]  Deborah V. Chapman,et al.  Water Quality Assessments: A Guide to the Use of Biota, Sediments and Water in Environmental Monitoring , 1996 .

[6]  A. Parsaie,et al.  Calculating the Longitudinal Dispersion Coefficient in River, Case Study: Severn River, UK , 2015 .

[7]  Il Won Seo,et al.  Routing procedures for observed dispersion coefficients in two-dimensional river mixing , 2010 .

[8]  S. Adarsh,et al.  Prediction of Longitudinal Dispersion Coefficient in Natural Channels Using Soft Computing Techniques , 2010 .

[9]  Duncan Mara,et al.  The Hydraulic Performance of Waste Stabilization Ponds in Portugal , 1987 .

[10]  Y. Velísková,et al.  Pollutant Spreading in a Small Stream: A Case Study in Mala Nitra Canal in Slovakia , 2014, Environmental Processes.

[11]  Gary W. Heinke,et al.  Environmental Science and Engineering , 1989 .

[12]  U. C. Kothyari,et al.  Longitudinal Dispersion in Open Channels , 2000 .

[13]  Rajeev Ranjan Sahay,et al.  Predicting Longitudinal Dispersion Coefficients in Sinuous Rivers by Genetic Algorithm , 2013 .

[14]  T. Sturm,et al.  Open Channel Hydraulics , 2001 .

[15]  J. Agunwamba Reduction of sampling time in tracer studies , 1997 .

[16]  S. M. Kashefipour,et al.  Numerical Modelling of Heavy Metals Transport Processes in Riverine Basins , 2012 .

[17]  I. Seo,et al.  On the methods for determining the transverse dispersion coefficient in river mixing , 2016 .

[18]  T. Day,et al.  Longitudinal dispersion in natural channels , 1975 .

[19]  Hugo B. Fischer,et al.  Discussion of Simple Method for Predicting Dispersion in Streams by Raul S. McQuivey and Thomas N. Keefer , 1975 .

[20]  R. Falconer,et al.  Hydro‐environmental modelling of riverine basins using dynamic rate and partitioning coefficients , 2003 .

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

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

[23]  R. Boaventura,et al.  Pollutant dispersion modelling for Portuguese river water uses protection linked to tracer dye experimental data , 2008 .

[24]  M. Weiler,et al.  Influence of distributed flow losses and gains on the estimation of transient storage parameters from stream tracer experiments , 2011 .

[25]  David O. Olukanni,et al.  Assessment of Urban Drainage and Sanitation Challenges in Nigeria , 2014 .

[26]  K. Kwiatkowski,et al.  Response to the slug injection of a tracer—a large-scale experiment in a natural river / Réponse à l'injection impulsionnelle d'un traceur—expérience à grande échelle en rivière naturelle , 2008 .

[27]  Kamal El Kadi Abderrezzak,et al.  One-dimensional numerical modelling of solute transport in streams: The role of longitudinal dispersion coefficient , 2015 .

[28]  Adam P. Piotrowski,et al.  Comparison of evolutionary computation techniques for noise injected neural network training to estimate longitudinal dispersion coefficients in rivers , 2012, Expert Syst. Appl..

[29]  J C Agunwamba,et al.  Optimal design for dispersion experiment. , 2002, Water research.

[30]  M. K. Magazine,et al.  Effect of Bed and Side Roughness on Dispersion in Open Channels , 1988 .

[31]  W. Huai,et al.  Estimation of longitudinal dispersion coefficient in rivers , 2014 .

[32]  Tim Atkinson,et al.  Longitudinal dispersion in natural channels: l. Experimental results from the River Severn, U.K. , 2000 .

[33]  M. Benedini,et al.  Water Quality Modelling for Rivers and Streams , 2013 .

[34]  Antonis D. Koussis,et al.  HYDRAULIC ESTIMATION OF DISPERSION COEFFICIENT FOR STREAMS , 1998 .

[35]  Ozgur Kisi,et al.  Modeling dimensionless longitudinal dispersion coefficient in natural streams using artificial intelligence methods , 2013, KSCE Journal of Civil Engineering.

[36]  E. Anderson,et al.  Estimating longitudinal dispersion in rivers using Acoustic Doppler Current Profilers , 2010 .

[37]  Vijay P. Singh,et al.  Predicting Longitudinal Dispersion Coefficient in Natural Streams by Artificial Neural Network , 2005 .

[38]  Amir Etemad-Shahidi,et al.  Predicting Longitudinal Dispersion Coefficient in Natural Streams Using M5′ Model Tree , 2012 .

[39]  Minghao Yin,et al.  Differential Evolution for Prediction of Longitudinal Dispersion Coefficients in Natural Streams , 2013, Water Resources Management.

[40]  Vassilis Z. Antonopoulos,et al.  Dispersion Coefficient Prediction Using Empirical Models and ANNs , 2015, Environmental Processes.

[41]  Safia Meddah,et al.  Pollutant Dispersion Modeling in Natural Streams Using the Transmission Line Matrix Method , 2015 .

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

[43]  Erik Ostermann,et al.  Statistical And Computational Methods In Data Analysis , 2016 .

[44]  G. Jirka Mixing and dispersion in rivers , 2004 .

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

[46]  David O. Omole,et al.  Analysis of pollution status of River Illo, Ota, Nigeria , 2008 .

[47]  Marcello Benedini,et al.  Water Quality in the Context of Water Resources Management , 2013 .

[48]  M. Coquery,et al.  Calibrating pollutant dispersion in 1-D hydraulic models of river networks , 2015 .

[49]  Roger A Falconer,et al.  Longitudinal dispersion coefficients in natural channels. , 2002, Water research.

[50]  Zekai Sen,et al.  Comment on "Longitudinal dispersion coefficients in natural channels". , 2004, Water research.

[51]  Nourallah Nejad sadeghi,et al.  Mathematical modelling in university, advantages and challenges , 2013 .

[52]  H. B. Fisher,et al.  Dispersion Predictions in Natural Streams , 1968 .

[53]  Vijay P. Singh,et al.  Longitudinal dispersion coefficient in straight rivers , 2001 .