Proceedings of the 4th JSME-KSME Thermal Engineering Conference October 1-6, 2000, Kobe, Japan Simultaneous Velocity and Concentration Measurements in a Turbulent Jet Flow by Using PIV-PLIF Combined System Hui HU, Tetsuo SAGA, Toshio KOBAYASHI, Nobuyuki TANIGUCHI Yin CHEN, Seonghwan CHIO and Kazuaki NARAHARA Institute of Industrial Science, University of Tokyo 7-22-1 Roppongi, Minato-Ku, Tokyo 106-8558, Japan ABSTRACT A method for the simultaneous measurements of velocity and passive scalar concentration fields by means of Particle Image Velocimetry (PIV) and Planar Laser Induced Florescence (PLIF) techniques will be described in the present paper. Details of the implementation of the PIV-PLIF combined system are given and the system is applied to do simultaneous measurements of velocity and concentration in the near field of a turbulent jet flow. The ensemble averaged velocity and concentration, turbulent velocity fluctuation, concentration standard deviation and the correlation terms between the fluctuating velocities and concentrations in the turbulent jet flow will be analyzed based on the simultaneous measurement results in the downstream of the turbulent jet flow. Keywords: PIV technique, PLIF technique, PIV-PLIF combined System, Simultaneous measurements of velocity and concentration field, Turbulent jet flow. 1. INTRODUCTION Simultaneous information of a passive scalar and velocity field is desirable in many fluid flow investigations like mixing in combustion chambers or distributions of drugs in biomedical applications. The possibility of measuring velocity and a scalar at the same time with a high spatial and/or temporal resolution is also of fundamental importance for the validation and development of models of turbulence and turbulent mixing. For example, in turbulent jet mixing flows, the species concentration field ξ is determined by molecular diffusion and transported by the turbulent flow field. When considering the Reynoldsaveraged scalar conservation equation, the effects of turbulent transport appear in terms of the correlation between the concentration and velocity fluctuations, i.e. expressions such as u 'ξ ' and v' ξ ' . Experimental characterization of these correlation terms is need for the development and validation of physical models, and this requires the simultaneous measurements of the velocity and concentration fields. Scalar quantities, such as tracer concentration or temperature, are also often used to visualize flow parterres and infer general flow structures. A good example is the use of fluorescent tracers along with laser induced fluorescence (LIF) for visualization of liquid or gas phase flows. LIF images are routinely used to make inference about the vortical structures and their dynamics in various flow phenomena, even though it is known that such inference can sometimes be misleading. The ability to simultaneously visualize the flow structure and measure its underlying velocity/vorticity field would serve as a valuable tool in discovering and understanding of flow physics. There exists an extensive body of literature on the measurements of either velocity component or scalar quantitative (e.g. temperature, concentration) in many types of flows. Studies involving simultaneous velocity and scalar measurements are far more limited. One of the earliest was study of helium jet by Keagy & Weller [1] where they measured the profiles of mean velocity using a Pitot probe and mean concentration using a sampling probe. Way & Libby [2] developed a two-sensor hot-wire probe capable of monitoring fluctuations of both one velocity component and concentration in a low-speed helium jet. Chavray & Tutu [3] produced results involving two fluctuating velocity components and temperature fluctuations using a cold-wire sensor mounted on a X-wire probe in heated air jets. The investigations mentioned above provide examples of work relaying on intrusive probes. More recently, the advent of optical diagnostics such as LDV, LIF and Particle Scattering techniques have provided new opportunities for the non-intrusive simultaneous acquisition of multiple flow variables. Owen [4] used a combination LDV and LIF to measure velocity and concentration correlation in a co-axial liquid jet. Dibble and Schefer [5] acquired velocity, density and species concentration via LDV/Mie scattering and LDV/Raman scattering, respectively, in a diffusions flame. Similar to the earlier work of Owen, Lemoine et al. [6] obtained simultaneous velocity and concentration data using LDV and LIF in a co-flowing liquid jet. All of these investigations, however, have incorporated single point measurements. With the rapid development of modern optical techniques and digital image processing techniques, wholefield optical diagnostics, such as Particle Imaging Velocity (PIV) and Planar Laser Induced Fluorescence (PLIF) techniques, are assuming an ever-expending role in the diagnostic probing of fluid mechanics. The advances of PIV and PLIF techniques in the recent two decades have lead them to be mature techniques for the whole-field measurements of velocity and concentration or/and temperature in a plane or over a volume of objective fluid flow. The aim of this study was to develop a high-resolution simultaneous velocity and concentration field measurement system for flow diagnostics. The work described in the present paper combines the Particle Imaging Velocity (PIV) and Planar Laser Induced Fluorescence (PLIF) techniques for the simultaneous measurements of instantaneous spatial distribution of velocity and concentration, respectively. 2. EXPERIMENTAL SETUP Figure 1 shows the schematically experimental set-up used in the present research. The test circular nozzle (D=30mm) was fixed in the middle of a water tank (600mm*600mm*1000mm). Fluorescent dye (Rhodamine B) for PLIF or PIV tracers (hollow glass particles d=8- 12µm) was premixed with water in a jet supply tank, and jet flow was supplied by a pump. The flow rate of the jet flow, which was used to calculate the representative velocity and Reynolds numbers, was measured by a flow meter. A cylindrical plenum chamber with comb structures was installed at the upstream of test nozzles to insure the turbulent levels of the core jet flows at the exit of test nozzles were less than 3%. An overflow system was used to keep the water level in the test tank to be constant during the experiment. In the present study, the investigation region is at the near field of the jet flow (Y/D<5.0). The distance between the exit of the test nozzle and the free surface of the water in the test tank is about 30D. Therefore, the effect of the water free surface in the test tank on the vortex structures in the near field of the jet flow is negligible and the jet flow exhausted from the test nozzle is considered to be a free jet flow. The pulsed illumination laser sheet was generated by a double-pulsed Nd:YAG Laser system (Quantel Inc.). After passing through a second harmonic generator cell, the wavelength of the light beams emitted from the doublepulsed Nd:YAG Laser system is 532nm. By using a set of optics (cylindrical lens and mirrors), the laser beam was bundled in a planar laser sheet with thickness being about 1.5 mm. The frequency of the double-pulsed illumination is 10 Hz. The pulsed illumination duration is 4ns, and power is 200 mJ/pulse. The time interval between the two pulses can be adjustable, which was 3 ms for the present study. Laser sheet water tank low pass optical filter mixing region Beam splitter Double-pulsed Nd:YAG Laser mirror CCD camera #2 High pass optical filter for PLIF Overflow system A cylindrical plenum chamber reserve tank for PIV CCD camera #1 jet supply tank Test nozzle synchronizer pump Flowmeter Figure 1. Experimental system setup Figure 2. The photo of the PIV-PLIF simultaneous image recording system In order to achieve the simultaneous measurements of the concentration and velocity fields by using PLIF and PIV techniques, a simultaneous image recording system was designed by using optics and two high-resolution CCD cameras (TSI PIVCAM10-30, 1K by 1K resolution). The diagram of the simultaneous image recording system was shown on the right upper corner of the Figure 1 schematically and the photo of the image recording system was given on Figure 2. Rhodamine B was used as fluorescent dye in the present study. It was known that the emission peak of Rhodamine B is about 590nm, and the wavelength of the illuminating laser light scattered by the PIV tracer particles is 532nm. Two kinds of optical filters were used in the present study to separate the LIF lights from scattered laser lights, and then recorded them separately to obtain PLIF and PIV image simultaneously. As shown in the right upper corner of the Figure 1, the combined light including both LIF light (peak at 590nm) and scattered laser light (532nm) were divided into two light beams by using a beam splitter. Once light beam is go straight to CCD camera #1 for PIV image recording. A band pass optical filter (532nm±5) was installed at the head of the camera #1. Therefore, only the scattered laser light is transmissible to form PIV image on the CCD sensor of the camera #1, and the LIF light is blocked out. Another light beam from the beam splitter was reflected by a mirror before it enter into the camera #2 for PLIF image recording. A high pass filter (>580nm pass) was installed in the head of the camera #2 to filter out the scattered laser light (wavelength 523nm). The LIF light (peak at 590nm) pass through the optical filter to generate LIF image on the CCD censor of the camera #2. The two CCD cameras were mounted on a mini- optical bed, and the positions of the two cameras were adjusted meticulously to get the same magnification and maximum overlap view for the two cameras. Such arrangement may also simplify the position calibration for the two image recording cameras. The double-pulsed Nd:YAG Laser and the simultaneous image recording cameras were connected to a host computer via a synchronizer (LaserPulse TSI INC.), which controls the timing of laser illumination and image acquisition. The host computer is composed of two highspeed CPU (800MHz, Pentium III CPU), colossal image memory and Hard disk (1GB RAM, Hard Disk 100GB). It can acquire the continuous image pairs up to 250 frames every time at the framing frequency of 10 Hz. Figure 3 shows an example of the PLIF and PIV original images captured simultaneously by the camera #1 and #2. It can be seen that the scattered laser light and PLIF light can be separated successfully by using the simultaneous image recording system shown on the Figure 2. The diameter of the circular nozzle used in the present study was D=30mm. The core jet velocities (U0) at the exit of the test nozzle was about 0.20m/s. The Reynolds numbers of the jet flows, based on the nozzle exit diameter and the core jet velocities was about 6,000 for the present study. 3. IMAGE PROCESSING 3.1 PIV image processing At the current stage, the most widely used methods for PIV image processing can be fall into two categories, i.e., the particle tracking methods and spatial correlation analysis methods (including auto-correlation method and cross-correlation method). The particle tracking methods are based on the tracking of individual particles with the time sequence, and vectors are obtained at random points in space. Since most of the particles tracking algorithms rely on the assumption that nearest neighboring images belong to the same particles, and this is not valid if the particle image density becomes too high. So, the particle tracking methods are normally limited to relatively low particle image density. Hence, it always provides poor spatial resolution. Rather than tracking individual particles, an improved spatial correlation analysis method, named as Hierarchical Recursive PIV method, was used in the present study to conducted PIV image processing. It was well known that the obtained velocity vector is actual the spatially averaged displacement of the particles included in each interrogation a. PIV image from camera #1 b. PLIF image from camera #2 Figure 3. The simultaneous images captured by the simultaneous image recording system window by using spatial correlation method. Any information on the velocity fluctuations and the rotational component of the velocity field within the region of the flows covered by the interrogation windows is lost in the computational process. Therefore, the spatial resolution of the PIV result can be achieved is directly related to the size of the interrogation windows. In order to improve the spatial resolution of PIV results by using spatial correlation method, the interrogation window size should be as small as possible. However, according to the research of Keane and Adrian [7], at least ten tracer particle images per interrogation window should be satisfied in order to resolve the local particle displacement accurately by using the conventional correlation analysis based image-processing algorithms. Hu et al. [8] had also suggested that the optimum particle number in an interrogation window is about 10-20 for the conventional cross-correlation method. These indicate that interrogation window size should be large enough to contain sufficient number of particle images to insure a high probability of uniqueness of the solution by using conventional correlation based PIV image processing methods. The recent research of the authors had shown that, if a prior information of the local displacement is known, even by using a smaller interrogation window could get the statistically meaningful PIV results. An improved correlation based PIV image processing method, named as Hierarchical Recursive PIV method, has been developed by the authors [9]. The Hierarchical Recursive PIV method is actual a hierarchical recursive process of conventional spatial correlation method. The recursive operation started with a large interrogation window size and search distance, which is as the same as conventional correlation analysis based PIV image processing methods. By using the results of former iteration step as the approximate offset values in the next iteration step, the interrogation window size and search distance were reduced hierarchically. The conventional correlation method always used 64 by 64 pixel or 32 by 32 interrogation windows, the hierarchical recursive PIV method can reduce the final interrogation window up to 8 by 8 pixel with spurious vectors being less than 2%. 3.2 PLIF Image processing Following Coppeta et al. [10], the intensity of the laser induced fluorescence light at any arbitrary point (x0,y0) along the excitation beam for unsaturated excitation can be expressed as: (1) H f ( x 0 , y 0 ) = I ( x 0 , y 0 ) A Φ ε L ξ ( x0 , y 0 ) Where Hf ( x0,y0) is the detected fluorescence intensity at the measurement point (x0, y0), A is the fraction of the fluorescence light collected by camera. Φ is the quantum efficiency, L is the length of the sampling volume along the path of excitation beam, ε is molar absorptivity, and ξ(x0,y0) is the molar concentration of the fluorescent dye. I(x0,y0) is the intensity of excitation light beam at the measurement point (x0,y0). It was known that the intensity of the excitation light I(x0,y0) is the function of the position and the concentration distribution of the fluorescent dye along the excitation beam before reaching the measurement point (x0,y0). The concentration distribution of the fluorescent dye may attenuate the intensity of the excitation beam. This attenuation effect will be increasing with the increasing of the concentration of the fluorescent dye [11]. In order to avoid the attenuation effect, the low fluorescent dye concentration solution (0.3mg/l) is used for the present LIF experiment. From the equation (1), it can be seen that the intensity of induced fluorescent light detected by the image recording camera will be changed linearly with the concentration of the fluorescent dye for the constant properties of carrier flow (temperature, oxygen content, pH value etc.) when the attenuation effect is negligible. Such linear relationship had been reported in previous research [11]. In order to obtain whole field quantitative concentration distribution in flow field, the calibration procedure to account for laser sheet non-uniformity had been conducted in the present study. For fixed optical setting, the linear relationship between the concentration field ξ(x,y) in the objective fluid flow and the digital signal level id(x,y) can be expressed by the following equation: id ( x, y ) − idb ( x, y ) = k ( x, y )ξ ( x, y ) (2) where the k(x,y) in the above equation included variations in laser energy over the illuminating laser sheet. idb(x,y) is the backgroud emission. In order to calibarate th effect of laser sheet nonuniformity, the background emission idb(x,y) is determined firstly by taking 50 images of objective field without LIF dye but with scattering PIV particle and illuminating laser running. Then, the mean digital signal level idξ0(x,y) with known uniform concentration (ξ0=0.3mg/l) in the measurement region is determined by 50 images. According to the equation (2), the following equation can be got: idζ 0 ( x, y ) − i db ( x, y ) = k ( x, y )ξ 0 ( x, y ) (3) Therefore, the normalized concentration distribution in the measurement field is obtained by following equation: ξ ( x, y ) ξ 0 ( x, y ) k ( x, y )ξ ( x, y ) = k (x, y )ξ 0 ( x, y ) idζ ( x, y ) − idb ( x, y ) = idζ ( x, y ) − idb ( x, y ) c ( x, y ) = (4) 0 Once the velocity and concentration fields were calculated, it is relatively straightforward to calculate the various ensemble-averaged velocity ( U , V ), turbulent velocity fluctuations averaged concentration ' ' ( (u ' u ' ) , (v ' v ' ) ), (C), concentration ensemblestandard deviation ( c c ) and the turbulent flux terms ( u ' c ' , v ' c ' ) which is the correlation terms between the velocity and concentration. In the present study, 250 consecutive PIV and PLIF image pairs captured simultaneously by the image recording system at the frame rate of 10Hz were used to calculate above ensemble-averaged values. Since the spatial resolution of PIV results is determined by the sizes of the interrogation window used for correlation operation. The final interogation window size is 8 by 8 pixel for the present study, so the concentration data 4.5 4 Y/D 3.5 0.25 m/s 3 2.5 2 1.5 1 -2 -1 0 1 2 X/D Figure 4. The instantanous results of the PIV measurement 9 7 8 7 6 9 9 8 7 8 78 7 8 6 7 9 7 8 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 8 6 8 8 8 7 9 7 7 7 9 10 13 6 11 8 9 8 7 9 9 8 9 10 9 7 9 8 8 8 8 Y/D 8 7 95 3.5 spanwise vorticity 7 8 88 7 9 10 6 9 8 8 10 9 3 8 9 7 9 9 8 4 5 8 9 13 2 10 9 1 8 9 4.5 9 9 9 8 6 2.5 8 8 10 6 2 9 16 9 10 9 9 11 135.00 117.00 99.00 81.00 63.00 45.00 27.00 9.00 -9.00 -27.00 -45.00 -63.00 -81.00 -99.00 -117.00 -135.00 7 10 5 2 13 3 5 68 7 11 5 1.5 12 10 downstream of the turbulent jet flow. They were found to almost same order from the measurement results. 10 v ' c ' and radial turbulent flux u ' c ' at 2D, 3D and 4D v ' c ' and radial turbulent flux u ' c ' were found to be 10 190 4. EXPERIMENTAL RESULTS AND DISCUSSIONS Figure 4 shows an example of the instantaneous PIV result obtained by processing a PIV image pair with Hierarchical Recursive PIV method. The final interrogation window size is 8 by 8 pixel, so, about 50,000 vectors can be got for every instantaneous PIV result. Only the 25% of the velocity vectors were shown on the Figure 4. Figure 5 shows the vorticity distribution calculated based on the instantaneous velocity vector field shown on Figure 4. Figure 6 shows the instantaneous concentration field obtained by PLIF image processing, which is the simultaneous measurement result of the PIV results shown on Figure 4 and Figure 5. The contour levels given in the figure represent Rhodamine B concentration levels normalized by the jet source concentration ξ0 =0.3mg/l. This PLIF measurement result is quite similar to the LIF visualization results reported by Liepmann and Gharib [12]. It was well known that the shear layer origin form the exit of the test nozzle is invisicidly unstable via KelvinHelmholtz primary instability for the circular jet flow. The instability grows downstream and rolled up into coherent vortex rings. The vortex ring structures merge as they move downstream and then break down into small vortex structures. The transition of the jet flow into turbulence occurs when the large vortex rings break down into small scale vortices. All these processes can be seen clearly from both the PIV and PLIF simultaneous measurement results given in these figures. Figure 7 shows the profiles of various ensemble-averaged flow parameters in the three downstream locations of the turbulent jet flow. These ensemble-averaged parameters were calculated based on 250 instantaneous PIV and PLIF measurement results, and normalized with the core jet velocity U0=0.20 m/s and jet source concentration ξ0=0.3 mg/l. In order to verify the present PIV and PLIF simultaneous measurement results, the measurement results of Lemoine et al. [6] by using single point measurement techniques LDV and LIF at 4D downstream of the circular jet flow had also been given on the profiles of the ensemble-averaged axial velocity(Figure 7(a)) and mean concentration(Figure 7(b)). From the comparisons, It can be seen that the present PIV and PLIF simultaneous measurement results agreed with the measurement results of Lemoine et al. [6] well. Figure 7(c) and Figure 7(d) show the profiles of the axial velocity fluctuation and concentration standard deviation at 2D, 3D and 4D downstream of the turbulent jet flow. The regions with high fluctuation values in these profiles are corresponded to the shear layers between the core jet flow and ambient flow. It can be seen that as the downstream distance increasing, the width of the shear layer increased, so the regions with high fluctuation values also increased. Figure 7(e) and Figure 7(f) give the axial turbulent flux be the same bell-shapeded profiles. Although the axial velocity component is much bigger than the radial velocity component in the circular jet flow, the axial turbulent flux 9 1 -2 -1 0 1 2 X/D Figure 5. The instantanous spanwise vorticicity distribution 5 concentration 1.00 0.95 0.90 0.85 0.80 0.75 0.70 0.65 0.60 0.55 0.50 0.45 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 4.5 4 3.5 Y/D were also averaged over 8 by 8 subwindows during the PLIF image processing. About the accurecy level of the present measurement result of velocity and concentration, the uncertainty of PIV result is supposed to be less than 2% and 5% for the PLIF concentration measurement result. 3 2.5 2 1.5 -2 -1 0 1 2 X/D Figure 6. the instantanous measurement result by using PLIFtechnqiue 0.25 1.2 1.2 ensemble-averaged concentration, C ensemble-averaged axial velocity V 1 1 0.8 0.8 2D 3D 4D lemoine et al. 0.6 0.4 axial velocity fluctuation 0.20 2D 3D 4D lemoine et al. 0.6 0.15 0.10 0.05 0.2 0.00 0 0 0.5 1 1.5 2 a. The ensemble averged axial velocity 0.40 c 'c ' 0.30 0 0.5 1 0.15 0.0 0.5 1.0 1.5 2.0 0.035 radical turbulent flux 0.10 0.05 v 'c ' 0.025 0.010 2D 0.020 0.005 3D 4D 0.015 2D 3D 4D 0.010 0.005 0.000 0.00 axial turbulent flux 0.030 ' ' uc 2D 3D 4D 0.20 2 0.020 0.015 0.25 1.5 b. The ensemble averaged concentration c. The axial velocity fluctuation Concentration standard deviation 0.35 2D 3D 4D 0.4 0.2 0 ' ' (u u ) 0.000 -0.05 0.0 0.5 1.0 1.5 2.0 0.0 -0.005 0 0.5 1 1.5 2 0.5 1.0 1.5 2.0 -0.005 d. Concentration standard deviation e. The radial turbulent flux f. The axial turbulent flux Figure 7. The ensemble averaged measurement results 5. SUMMARY AND CONCLUSIONS A system has been developed to conduct the velocity and concentration simultaneous measurements of the fluid flow by using Particle Image Velocimetry (PIV) and Planar Laser Induced Fluorescence (PLIF) techniques. The objective fluid flow was illuminated by a double pulsed Nd:YAG laser, and Rhodamine B was used as fluorescent dye premixed in the flow field. The LIF lights and scattered illuminating laser lights were separated successfully by using two kinds of optical filters, and recorded simultaneously by two high-resolution CCD cameras. The system was used to measure velocity and concentration distributions in the near field of a circular jet flow simultaneously. The measurement results of the present system were compared with the previous point measurement results to benchmark the present system. As a result of these comparisons, it was concluded that the present combined PIV and PLIF measurement system is effective and efficient to conduct the velocity and concentration simultaneous measurements of the fluid flow. 6. REFERENCES 1. Keagy, W. R. and Weller, A. E. A Study of freely expanding inhomogeneous jets, Proc. Heat Transfer. Fluid Mechanics Inst., Vol.1-3, (1949), pp89-98. 2. 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