<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JWARP</journal-id><journal-title-group><journal-title>Journal of Water Resource and Protection</journal-title></journal-title-group><issn pub-type="epub">1945-3094</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jwarp.2015.78048</article-id><article-id pub-id-type="publisher-id">JWARP-57076</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject></subj-group></article-categories><title-group><article-title>
 
 
  Applied the Large Scale Particle Image Velocimetry Technique for Measurement the Velocity of Gravity Currents in the Laboratory
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>hafar</surname><given-names>Ibrahim Ahmed</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Noureddine</surname><given-names>Latrache</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Blaise</surname><given-names>Nsom</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Faculty of Engineering, University of Wassit, Kut, Iraq</addr-line></aff><aff id="aff2"><addr-line>Université de Bretagne Occidentale, Brest, France</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>Dhafar-Ibrahim.Ahmed@etudiant.univ-brest.fr(HIA)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>11</day><month>06</month><year>2015</year></pub-date><volume>07</volume><issue>08</issue><fpage>597</fpage><lpage>604</lpage><history><date date-type="received"><day>9</day>	<month>January</month>	<year>2015</year></date><date date-type="rev-recd"><day>accepted</day>	<month>5</month>	<year>June</year>	</date><date date-type="accepted"><day>11</day>	<month>June</month>	<year>2015</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  This study includes a series of laboratory experiments for investigated the gravity current of fresh water with density 
  ρ-?
  ρ, and initial speed u
  <sub>0</sub> upon the free surface of an ambient liquid (salty water) with density 
  ρ at rest in a basin. It’s have been presented to illuminate the dominant flow and transport phenomena in the presence of river, stream and wetland ecology, stream corridor restoration, in the case of accidental pollution spills. The characterized of the local kinematic field, 
  i.e. the local velocity and vorticity fields, the measurement methods include particle image velocimetry (PIV) at the water surface using a technique similar to large scale of particle image velocimetry (LSPIV). 
 
</p></abstract><kwd-group><kwd>Gravity Currents</kwd><kwd> Image Processing</kwd><kwd> Large-Scale Particle Image Velocimetry Technique</kwd><kwd> Spatiotemporal Diagrams Technique</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>A gravity current is the flow of one fluid driven by the gravity into another fluid with a different density [<xref ref-type="bibr" rid="scirp.57076-ref1">1</xref>] . Gravity currents frequently occur in both natural and artificial situations: thunderstorms, sea-breeze fronts, estuarine effluents, discharge of industrial waste waters into rivers, lakes or oceans, sudden release of foreign gas into the atmosphere, etc. [<xref ref-type="bibr" rid="scirp.57076-ref2">2</xref>] . Gravity currents are also horizontal flows which can be created by a temperature difference, a salinity contrast or suspended materials. The release of pollutants into rivers, oil spillage on the sea environment and desalination plant outflows is a few of man-made gravity currents that occur in water masses and frequently cause negative environmental impacts. The first theoretical study on gravity currents was performed by Von K&#224;rm&#224;n [<xref ref-type="bibr" rid="scirp.57076-ref3">3</xref>] .</p><p>A video imagery technique for making flow measurements in streams and waterways is presented and used to estimate discharge for river. A video camera was used to visualize the flow seeded with tracers. Measurements of free surface flow velocities were then made using particle image velocimetry (PIV) techniques [<xref ref-type="bibr" rid="scirp.57076-ref4">4</xref>] . New technologies have been developed for discharge and surface velocity measurements due to concerns about flow conditions, costs, accuracy, inaccessible locations, measuring time and the safety of conventional methods. One emerging technology is large-scale particle image velocimetry (LSPIV), which has several advantages over con- ventional measurement techniques; namely, LSPIV is safer, non-intrusive and provides continuous measurements [<xref ref-type="bibr" rid="scirp.57076-ref5">5</xref>] .</p><p>Taylor was the first to show analytically and experimentally that longitudinal dispersion is determined by the time-averaged, three-dimensional velocity profile and the transverse molecular or turbulent diffusion [<xref ref-type="bibr" rid="scirp.57076-ref6">6</xref>] -[<xref ref-type="bibr" rid="scirp.57076-ref8">8</xref>] . The velocity estimation principle implemented in the device is an adaptation of the particle image velocimetry (PIV) technique widely used in experimental fluid mechanics measurement of flow velocities [<xref ref-type="bibr" rid="scirp.57076-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref10">10</xref>] . The technique used in this work is a direct outgrowth of the conventional PIV used for images large-scale flow surface and was therefore dubbed large-scale particle image velocimetry (LSPIV) [<xref ref-type="bibr" rid="scirp.57076-ref11">11</xref>] .</p><p>The local velocity and vorticity fields are measured using an optical technique similar to large scale PIV (LSPIV) based on an intercorellation function of two images [<xref ref-type="bibr" rid="scirp.57076-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref12">12</xref>] . The use of the LSPIV technique in field applications is now widespread after the pioneering work of [<xref ref-type="bibr" rid="scirp.57076-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref13">13</xref>] and has been significantly improved [<xref ref-type="bibr" rid="scirp.57076-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref15">15</xref>] .</p><p>In this paper, we describe velocity flow measurement in laboratory. The approach involves two steps: 1) surface velocity measurement using video imagery techniques, and 2) as such, the configuration studied here can represent a process of coastal discharge of effluents. Surface velocity measurements are made using particle image velocimetry, as well established technique in fluids research for laboratory flow measurement.</p><p>We applied the image processing and the spatiotemporal diagrams technique in order to describe the time evolution of the progress x, and the spreading y of the gravity current. That means able to measure these two components which characterize the flow of the gravity current as a function of the flow rate and salinity (Froude number).</p></sec><sec id="s2"><title>2. Material and Method</title><sec id="s2_1"><title>2.1. Experimental Setup</title><p>The experimental device used to investigate the propagation of gravity currents over the free surface of a miscible denser liquid at rest was designed and built in our laboratory, it comprises as shown in (<xref ref-type="fig" rid="fig1">Figure 1</xref>). A transparent basin made from Plexiglas, containing the static ambient liquid, of 700 L ( 300 cm long, 49 cm wide and 49 cm deep). A bowl of 240 L used to prepare the ambient fluid by introducing the quantity of salt corresponding to the concentration needed into a given volume of water. The solution prepared (salt water), then poured into the previous basin. A reservoir of 60 L equipped with a floodgate and which releases the gravity currents into the basin. An injection channel ( 600 mm long and 17 mm wide) manufactured in transparent glass and which links the reservoir to the basin. A light source made of 500 w (50 Hz) projector was placed ahead of basin to provide reflection of light source. The experiments were conducted in the dark laboratory room to a void other light sources disturbing the experiments.</p></sec><sec id="s2_2"><title>2.2. Measurement Technique</title><p>A Techfluid 2150 flowmeter aiming at controlling and measuring the flow rate of the gravity current as it is released from the reservoir into an injection channel. The viscosity of the salty water was measured against the concentration using an Ostwald viscometer .The viscosity of the salty water increases with an increasing concentration in salt Cs (g/L). We note a good concordance between our results and the values of the viscosity of the seawater given by Weast [<xref ref-type="bibr" rid="scirp.57076-ref16">16</xref>] as shown in <xref ref-type="table" rid="table1">Table 1</xref>. Also the salinity of the salt water at the basin was measured using a calibrated conductivity meter, and it provides temperature measurements, which together with</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Experimental setup</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-9402454x6.png"/></fig><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Dynamic viscosity of salty water in this work compared with those given by Weast using seawater [<xref ref-type="bibr" rid="scirp.57076-ref16">16</xref>] </title></caption><table><tbody><thead><tr><th align="center" valign="middle" >C<sub>s</sub> (g/L)</th><th align="center" valign="middle" >∆ρ/ρ</th><th align="center" valign="middle" >υ/υ H<sub>2</sub>O salty wate (this work)</th><th align="center" valign="middle" >υ/υ H<sub>2</sub>O sea water [<xref ref-type="bibr" rid="scirp.57076-ref16">16</xref>]</th></tr></thead><tr><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1.0 &#177; 000.019</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle" >10</td><td align="center" valign="middle" >0.0099</td><td align="center" valign="middle" >1.032 &#177; 0.046</td><td align="center" valign="middle" >1.021</td></tr><tr><td align="center" valign="middle" >20</td><td align="center" valign="middle" >0.0196</td><td align="center" valign="middle" >1.052 &#177; 0.047</td><td align="center" valign="middle" >1.037</td></tr><tr><td align="center" valign="middle" >30</td><td align="center" valign="middle" >0.0308</td><td align="center" valign="middle" >1.075 &#177; 0.050</td><td align="center" valign="middle" >1.059</td></tr><tr><td align="center" valign="middle" >40</td><td align="center" valign="middle" >0.0384</td><td align="center" valign="middle" >1.098 &#177; 0.052</td><td align="center" valign="middle" >1.101</td></tr></tbody></table></table-wrap><p>salinity.</p><p>An instrumentation equipment comprising: an observation system consisting of one SONY CCD XC-ST51/ ST51CE black and white camera equipped with a resolution of 768 &#215; 576 pixels. The images observed by this camera is simultaneously captured at a frequency of 25 Hz or 50 Hz owing to a system of image capturing and which consists of a PC equipped with a Pentium IV processor (2.6 GHz) of 1024 Mb of random-access memory and provided with a Matrox Meteor II multi-voice at 8 bits smart card. Therefore, by using this card the images can be captured following 256 levels of grey.</p></sec><sec id="s2_3"><title>2.3. Newtonian Gravity Currents Formation</title><p>The Newtonian gravity currents used in the experiments described are made of fresh water with density ρ-∆ρ in which a small quantity of Rhodamine B colouring agent as a tracer is introduced for video-photographic analysis purpose. Testing the density and the viscosity of these gravity currents, observed that the addition of Rhodamine B does not modify the physical properties of the gravity current. The ambient liquid at rest is salty water with adjustable density ρ by introducing an appropriate quantity of salt in a given quantity of water.</p></sec><sec id="s2_4"><title>2.4. Experimental Procedure</title><p>A series of experiments were served in the dark room to identify gravity current flow properties, have been carried out. The measurement of the control parameters as Froude number is difficult because of the height of ambient fluid and mixing between dense and ambient fluids and variations in the velocity prevents the determination of local parameters only calculate initial Froude number <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-9402454x7.png" xlink:type="simple"/></inline-formula>is the initial injection velocity, D is the diameter of channel, and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-9402454x8.png" xlink:type="simple"/></inline-formula> is the apparent acceleration of gravity at the injected source <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-9402454x9.png" xlink:type="simple"/></inline-formula> ranging from 0.36 to 2.6. The flow was laminar and then became a fully turbulent based on flow rate with channel Reynolds numbers <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-9402454x10.png" xlink:type="simple"/></inline-formula> where υ is the kinematic viscosity in the range of 481 - 4434. The experimental procedure is discussed in the framework of Huppert theory [<xref ref-type="bibr" rid="scirp.57076-ref17">17</xref>] .</p></sec></sec><sec id="s3"><title>3. Velocity Field of Gravity Currents</title><sec id="s3_1"><title>3.1. Kinematic Field</title><p>A local characterization of the kinematic field, i.e. the local velocity and vorticity fields using the large scale PIV (LSPIV). The LSPIV technique is adapted for investigating a flow in large real configuration (rivers, dams, etc.) [<xref ref-type="bibr" rid="scirp.57076-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref15">15</xref>] . The measurement principle is based on Particle Image Velocimetry for large scale applications. The optical velocimetry technique uses conventional the digital imaging methods for the quantitative determination of two-component velocity data in a two-dimensional measurement plane [<xref ref-type="bibr" rid="scirp.57076-ref18">18</xref>] . The standard PIV method has been applied to velocity measurements at larger scales, commonly called large-scale particle image velocimetry (LSPIV) [<xref ref-type="bibr" rid="scirp.57076-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref19">19</xref>] .</p><p>By the same way, we use the LSPIV technique which provides the reliable measurements of velocities with acceptable accuracy. In this case, the solid particles used in classical PIV are replaced by an inert colouring agent (e.g.: Rhodamine B), which is introduced in the gravity current injected in the ambient fluid. The images sequences recorded by the camera and then dissociated. The difference between the light intensities of the two liquids is observed on the images and their respective motions can be followed and analyzed using the time elapsed between two consecutive images. The laser beam used in classical PIV is replaced by a white light, as the contrast is perceptible to the naked eye. So the intensity differences caused by the intrusion level of the gravity current are observed. <xref ref-type="table" rid="table2">Table 2</xref> provides a comparison between the two methods.</p><p>From one image to another one, by correlating the graphs, the displacement is determined. The use of the inter correlation algorithm to compute velocity (<xref ref-type="fig" rid="fig2">Figure 2</xref> &amp; <xref ref-type="fig" rid="fig3">Figure 3</xref>) and vorticity (<xref ref-type="fig" rid="fig3">Figure 3</xref>). Indeed, two images separated by a small time interval are selected using fenestration. Each window is analyzed: graphs representing the light intensity versus the position are derived. If necessary a modification of a correlation window is performed by redoing it with a smaller window.</p></sec><sec id="s3_2"><title>3.2. Local Velocity and Vorticity</title><p>The local progress velocity is described by two components: U(x, y) and V(x, y) in the free surface. The (<xref ref-type="fig" rid="fig4">Figure 4</xref>) presents the axial velocity U(x, 0) and the lateral velocity V(x, 0). At fixed lateral direction (y = 0), the velocity of axial direction U(x, 0) (<xref ref-type="fig" rid="fig4">Figure 4</xref>(a)) is almost constant close to the injection channel, this can be explained by the presence of the inertia regime when the progress of front is linear with time. While far from the injection channel, the axial velocity decreases strongly with axial direction, this can be explained by the establishment of viscous regime. The lateral velocity V(x, 0) is very small in axial direction at y = 0 near the injection channel. While far from the injection, even the lateral velocity is small but it is of the same order than the axial velocity.</p><p>This can be explained that near the injection channel, the flow is one dimensional in x-direction where the vorticity is very small or vanishing (<xref ref-type="fig" rid="fig4">Figure 4</xref>(b)). Far from the injection channel, the free surface flow has two- dimensional propagation where the vorticity is not vanishing with a weak asymmetry with respect to the axis of the injection channel (<xref ref-type="fig" rid="fig4">Figure 4</xref>(b)).</p><p><xref ref-type="fig" rid="fig5">Figure 5</xref> presents the axial velocity U(0, y) and lateral V(0, y) at fixed axial direction (x = 0); the velocity of axial direction U(0, y) (<xref ref-type="fig" rid="fig5">Figure 5</xref>(a)) is maximal close to the injection channel and it decreases strongly with y. The lateral velocity V (0, y) vanishes at the injection channel and then it is maximal. The lateral velocity V(0, y) decreases strongly with y (<xref ref-type="fig" rid="fig5">Figure 5</xref>(b)).</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Comparison of classic PIV technique and large-scale PIV</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Classical PIV</th><th align="center" valign="middle" >Large-scale PIV in this study</th></tr></thead><tr><td align="center" valign="middle" >The analysis window is limited Sowing with solid particles The intensity gradient around a particle is very high A laser beam is needed</td><td align="center" valign="middle" >No size limit to the analysis window Sowing with a colouring agent The intensity gradient is very low A white light is enough</td></tr></tbody></table></table-wrap><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Spatio-temporal evolution of velocity for C<sub>s</sub> = 10 g/Lang Fr = 0.71</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-9402454x11.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Spatio-temporal evolutions of velocity (left) and of vorticity (right) for C<sub>s</sub> = 10 g/Lang Fr = 0.71</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-9402454x12.png"/></fig><fig-group id="fig4"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Variation of the velocity with the axial direction at y = 0 of (a) axial component U(x,0) and of (b) lateral component V(x,0) for ∆ρ/ρ = 0.0196: Re = 3587: and Fr = 0.97.</title></caption><fig id ="fig4_1"><label>(b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-9402454x13.png"/></fig><fig id ="fig4_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-9402454x14.png"/></fig></fig-group></sec></sec><sec id="s4"><title>4. Conclusions</title><p>An experimental investigation of the propagation of Newtonian gravity currents (colored fresh water) over the</p><p>free surface of a miscible denser liquid (salty water) at rest in a basin. Image processing technique has been proved for use in flow velocity measurement because of the initial evaluation of the feasibility of making flow surface measurements like in the natural waterways using video imagery determined the unique circumstances that will impact the quality of field video measurements. Our image processing software is based on the algorithm developed and is conceptually similar to the correlation imaging velocimetry [<xref ref-type="bibr" rid="scirp.57076-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.57076-ref20">20</xref>] . On the other hand, the Shallow flows are dominated by two-dimensional flow structures, which mean that the overall behavior of the flow can be analyzed using surface velocities. The characterization of flow was made by measurement of the velocity field and vorticity field using a large scale PIV technique. The application of Particle Image Velocimetry to measurement of velocity on large scales is a challenging necessity especially for investigation of injection gravity current propagation.</p><p>The image processing to estimate the surface velocity field with the LSPIV techniques, together of (corrected) images is processed to estimate surface velocity. Can be used as the natural light is used as illumination for LSPIV measurements instead of the laser light used in laboratory experiments that means no laser has to be used to provide fresh water at the basin, and using the free water surface as measurement gravity currents. Surface LSPIV measurements showed that the diffusion of dissolved tracer (Rhodamine B colouring) into the mixing</p><fig-group id="fig5"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Variation of the velocity with the axial direction at x = 0 of (a) axial component U(0,y) and of (b) lateral component V(0,y) for C<sub>s</sub> = 10 g/L, and Fr = 0.71.</title></caption><fig id ="fig5_1"><label>(b)</label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-9402454x15.png"/></fig><fig id ="fig5_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-9402454x16.png"/></fig></fig-group><p>layer and the method involves surface velocity field injection estimation, and using initial flow parameters analysis as Froude Number.</p></sec><sec id="s5"><title>Acknowledgements</title><p>This paper is part of the author’s PhD thesis in the field of Coastal Engineering at UBO (Universit&#233; de Bretagne Occidentale).</p></sec><sec id="s6"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.57076-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Ungarish, M. 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