Journal of Basic & Applied Sciences, 2012, 8, 513-527 513
ISSN: 1814-8085 / E-ISSN: 1927-5129/12 © 2012 Lifescience Global
Near and Intermediate Field Evolution of A Negatively Buoyant Jet
Raed Bashitialshaaer
1,*
and Kenneth M. Persson
2
1
Department of Water Resources Engineering, Lund University, John Ericsson no. 1, PO Box 118, SE-221 00
Lund, Sweden & Center for Middle Eastern Studies
2
Department of Water Resources Engineering, Lund University, John Ericsson no. 1, PO Box 118, SE-22100
Lund, Sweden and Sydvatten AB
Abstract: In this study, a mathematical model was developed to simulate the jet and plume behavior in order to
determine the optimum discharge conditions for different scenarios. The model was divided into two sub-models,
describing respectively the near and intermediate field properties of the discharge for different inclinations and bottom
slope. The lateral spreading and electrical conductivity was also described through a generalization of measured data.
The predictions of the model were compared with experimental data collected in lab as well as results obtained with a
commercial software CORMIX. A Matlab code was also developed describing the lateral spreading and centerline
dilution of buoyant jet and plumes for near and intermediate field was developed. The model produces results in
acceptable agreement with data and observations, even though some improvements should be made in order to give the
correct weight to the bottom slope parameter and to reduce the need for user calibration. This study has limited result for
only 16% bottom slope and 30 degrees inclination. Concentration was improved with the bottom slope by 10% than the
horizontal bottoms and improved by about 40% with bottom slope together with inclination of 30 degrees.
Keywords: Lab-scale experiment, Turbulent jet, Negative buoyancy, Desalination, Brine.
INTRODUCTION
1.1. General
The usage of sea water as a source for water
supply (intakes) has constantly been increasing, due to
the development of desalination processes. The
desalination process brings as output fresh water from
one side and brine water (outfalls) on the other side.
The disposal of brines directly into the sea can
increase the salinity level in the proximity of the output,
alter the ecosystem equilibrium, and bring losses in
efficiency of the desalination plant, if the sea water
uptake is influenced by this change. The brine
discharge devices are usually positioned at the lowest
point of the receiving water which can be either ocean
or deep water sea outfalls. The discharged fluid density
is generally different from that of the surrounding, due
to either different temperature or chemical composition.
The resulting buoyancy forces can have a great effect
on both the mean flow and mixing. Brine discharge
from desalination plants is the common and best
example; this type is the so-called negatively buoyant
or dense discharges, which have relatively high-salinity
concentrations.
A particular discharge should be considered as
"shallow" or "deep" depending on the relative dynamic
impact of this flow and recipients, notably its fluxes of
*Address corresponding to this author at the Department of Water Resources
Engineering, Lund University, John Ericsson no. 1, PO Box 118, SE-221 00
Lund, Sweden & Center for Middle Eastern Studies; Tel: +46462632730;
Fax: +46462224435; E-mail: ralshaaer@yahoo.com
momentum and buoyancy. In total 72 runs were
performed at the Department of Water Resources
Engineering (TVRL) laboratory at an appropriate scale
to ensure turbulent jet behaviour. We are focusing in
particular on releases where the initial vertical
momentum flux of the discharge is in the opposite
direction of the buoyancy generated momentum flux as
the Boussinesq assumption is applicable.
1.2. Concept of Jet Flow
In general, there are three regions of the jet flow
can in general be identified as: the near-field, the
intermediate-field and the far-field flow. The near-field
is the initial flow or development region (named the
potential core for a top-hat exit profile); it is usually
found within (0 x/d
0
6). The far-field is the fully-
developed region where the thin shear layer
approximations can be shown (with appropriate
scaling); jet flows generally become self-similar beyond
(x/d
0
! 25) [1]. The intermediate-field, or transition
region, lies between the near- and far-fields of the jet.
Method of understanding mixing in intermediate-field or
transition was well defined qualitatively by flow
visualization e.g. [2 ,3]. In the intermediate region of a
round jet there was only Reynolds dependence of
shear stress distributions as shown in [4]. They used
method of a stereo particle image velocity (PIV)
system. The mean and fluctuating velocity curves were
plotted for Re = 1,500; 3,000; 5,000.
It was possible to investigate the effects of turbulent
energy on the initial development and large scale