International Journal of Scientific Research in Environmental Sciences, 3(5), pp. 0199-0207, 2015
Available online at http://www.ijsrpub.com/ijsres
ISSN: 2322-4983; ©2015; Author(s) retain the copyright of this article
http://dx.doi.org/10.12983/ijsres-2015-p0199-0207
199
Full Length Research Paper
Calculating the Longitudinal Dispersion Coefficient in River, Case Study: Severn
River, UK
Abbas Parsaie*, Amir Hamzeh Haghiabi
Department of Water Engineering, Lorestan University, Khoram Abad, Iran
*Corresponding Author: Abbas_Parsaie@yahoo.com
Received 02 February 2015; Accepted 07 May 2015
Abstract. Study on the mechanism of Pollutant transmission in the river is a major part of the knowledge of environmental
engineering. If the pollution transmission mechanisms in the river with various geometries were specified, the river water
quality managing does by more accuracy and his leads to reduce the effects of river pollution on public human's health. In this
paper, the pollution longitudinal dispersion coefficient (LDC) is calculated by dispersion routing method for Severn River. To
calculate the LDC the concentration profile data published by Atkinson and Davis is used. They considered seven stations
along the river for measuring and record the concentration profile at each station. The minimum value of LDC is 12.5
2 1 m s
and maximum value dispersion coefficient is 41.5.
2 1 m s
. For calculating the LDC by empirical formulas, 12 of the famous
equations related to the dispersion coefficient is collected and assessing them to calculate the LDC for Severn River shows that
the Tavakollizadeh and Kashefipour equation by correlation coefficient about 0.4 is the most accurate empirical formula.
Keywords: dispersion routing method; Empirical formula; Longitudinal Dispersion Coefficient, Severn River
1. INTRODUCTION
Modeling the pollution transport in rivers included
two parts. One- Selecting the Numerical methods with
reasonable accuracy, fortunately, recently techniques
that have been provided is appropriate). Two-
estimating the Longitudinal Dispersion coefficient, the
main disadvantage of numerical modeling is related to
the infirmity of the LDC prediction. Increasing the
accuracy of estimating this parameter leads to
increasing the computer modeling. So the major part
of studies on the river water quality is related to
measurement, calculating and estimation of this
parameter (Kashefipour and Falconer, 2002; Deng et
al. 2002; Deng et al., 2001).
If the Pollution transmission mechanisms in the
river with various geometries were specified, the river
water quality managing does by more accuracy and
his leads to reduce the effects of river pollution on
public human's health. Study on the mechanism of
Pollutant transmission in the river is a major part of
the Knowledge of Environmental Engineering (Riahi-
Madvar et al., 2009). When a source of pollution
released into the river, Due to molecular motion,
turbulence, and non-uniform velocity in cross section
of flow, quickly spread to the entire section and
covered all the section and moved along the river with
the flow (Holzbecher 2012; Chanson 2004). LDC is a
function of the hydraulic and geometry characteristics
of the river and also its path, so it is very variable and
sensitive. Thus, a minimal change in the hydraulic
conditions and river geometries, cases the very much
fluctuation in its values. Many empirical formulas
have been proposed for calculating the LDC. These
formulas are usually obtained by classical regression.
Some of these formulas are collected Table (1) (Seo
and Baek, 2004a; Seo and Cheong, 1998, 2001; Shen
et al., 2010; Seo and Baek, 2004b; West and Mangat,
1986; Seo et al., 2009). To calculate the LDC usually
a trace is injected in river and along the river some
stations should be considered for getting the sample
and the tracer concentration in each sample should be
measured. To this purpose, the first station should be
considered after the completely spreading the tracer in
all the flow cross section. The LDC will be
calculating by a method such as Dispersion Routing
Method (DRM).
A brief instruction of DRM will be given in the
methodology section. Some researcher to obtain more
detail of dispersing process in the longitudinal and
over the cross section of river uses a powerful tool
such as image processing technique, Acoustic Doppler
Current Profiler ADCP and so on(Carr and Rehmann,
2007). These tools helped to the researcher for