Survey of multi-wire probe data processing techniques and efficient processing of four-wire probe velocity measurements in turbulent flows

 A general presentation of the two main approaches for the extraction of velocity information from multi-wire hot-wire probe measurements is first given, along with a short introduction to the different data processing techniques currently available. This global survey is intended to help researchers interested in using multi-wire probes (for velocity measurements) choose more easily a data processing technique adapted to their experiments and laboratory facilities. In the second part, a numerically efficient four-wire probe data processing technique, especially suited for flows with relatively high turbulence intensities (up to 30%), is described. With this technique, an accurate solution can be found in almost all of the probe's acceptance domain and the directional sensitivity calibration does not have to be performed in situ. The accuracy of the method is demonstrated with a 3D airfoil near-wake experiment for which four-wire probe measurements of mean velocity, full Reynolds stress tensor and triple correlations are compared with three-component LDA measurements. Received: 25 February 1999/Accepted: 17 September 1999     

A new calibration and data reduction method for turbulence measurement by multihotwire probes

A new calibration technique has been developed for the simultaneous measurement of the instantaneous velocity components in a three dimensional turbulent flow field by miniature pyramidoidal four-wire probes. The method was tested in the boundary layer of a wind tunnel by comparison measurements with X-wire probes. The results are very satisfactory and in good agreement with other experiments known from the literature.     

Computer-aided calibration and measurements with a quadruple hotwire probe

A method for calibration and measurement with a four-wire probe is described. For each of the wires a three dimensional calibration field is determined, thus no assumption like King's law or the cosine law need to be made. The velocity vector can then be detected in a fairly large angular range (± 40°) with a numerical search algorithm. First measurements in a free jet and a confined, strongly swirling flow are presented.A version of this paper was presented at the 11th Symposium on Turbulence, University of Missouri-Rolla, Oct. 17–19, 1988     

The relationship between coherent structures and heat transfer processes in the initial region of a round jet

 This paper describes an experimental study of the relationship between coherent vortical structures and the intensity of heat transport in the initial region of a round, free jet. Simultaneous measurements of velocity and temperature were taken with a four-wire combined probe in a jet that was acoustically stimulated with a frequency corresponding to the jet-column mode. The obtained results suggest that the mutual phase relations between oscillatory and random components of velocity and temperature lead to substantial intensification of the radial heat transport. Due to the same reason the longitudinal heat flux does not reveal a significant change in the presence of coherent structures and, as a result, a much wider spread of the temperature field in comparison with velocity may be observed as a characteristic feature of this flow. It was also observed that heat transfer processes are realized in substantial part by random turbulence generated due to the action of coherent motion. Received: 16 January 1997/Accepted: 20 August 1997     

Assessment of a quintuple hotwire measurement technique for highly turbulent flows

A five-wire calibration and measurement technique is presented, which is an extension of the four-wire method developed by Döbbeling et al. (1990a, b). From numerical simulations of the uniqueness domain and the angular resolution it is concluded that the uniqueness domain of the quintuple technique can be expanded to a hemisphere as opposed to the four-wire techniques which are restricted to a conical domain of about 40° half angle. Measurements of the mean velocities and Reynolds stresses in a low-turbulence jet and in grid turbulence confirm and complement the results of the numerical simulations. It is thus shown that the quintuple method achieves increased accuracy in an expanded measurement range.The work of D. Hölzer, student of engineering at the University of Karlsruhe, and the support of W. Paulat and W. Pfeffinger in writing the data aquisition software, and H. Klette who manufactured the probe, is gratefully acknowledged. This work was supported by the Deutsche Forschungsgemeinschaft within the framework of the Sonderforschungsbereich 167, Hochbelastete Brennräume- Stationäre Gleichdruckverbrennung, Teilprojekt A10.     

Simultaneous measurements of temperature and its dissipation using pairs of parallel cold wires

 The link between fluctuations of a passive scalar and its dissipation is an important problem for various aspects of turbulent flow modelling both with and without chemical reaction. This paper first reports experimental methods for simultaneous measurements of the three derivatives involved in temperature dissipation using cold wire probes in a boundary layer over a weakly heated flat plate. Particular attention is paid to the determination of the optimal length and spacing between sensors, including a four-wire probe of fixed dimensions, for such gradient measurements. Corrections to be applied to account for the effect of the fixed geometry are analyzed. Results about joint statistics, including conditional temperature pdfs, between the scalar and its dissipation are then reported and compared to previous results which mainly concerned conditional dissipation rates. Received: 15 October 1996 / Accepted: 13 January 1997     

Fiber-optic probe measurements of void fraction and bubble size distributions beneath breaking waves

Experiments were performed to determine the accuracy of single-tip fiber-optic probes for making simultaneous measurements of the void fraction and bubble size distributions under breaking waves. Tests in a vertical bubble column showed that the normalized RMS error in the void fraction measurements was ∼10%. The relationship between bubble rise time and bubble velocity was investigated in a unidirectional flow cell. Similar to previous studies the rise time and bubble velocity were found to be related by a power law equation. The probes can provide mean bubble velocities accurate to ±10% when a minimum of ∼15 individual bubble velocities are averaged. The fiber-optic probes were deployed beneath a plunging breaking wave in a laboratory wave channel. The slope and shape of the bubble cord length size distribution measured with the probes was found to agree closely with the size distribution measured from digital video recordings. The probes were then positioned in the splash-up zone of a plunging breaker and the resulting cord length distribution had a shape and slope that was in agreement with previous measurements. These results demonstrate that single-tip fiber optic probes can provide accurate simultaneous measurements of the void fraction and bubble sizes inside the dense bubble clouds entrained by breaking waves.     

Measurement of velocity of rarefied gas jets from the drift of an ion marker formed by an electron beam

The physical aspects of the formation of an ion marker in a low-density gas jet are examined. The properties of the method of measuring velocity by using a known base of two double probes to record the flight time of a marker are studied. A comparison of the results of the measurements with data obtained using a pitot tube shows that measurement of the velocity by the indicated method can be conducted not only in the core of a supersonic jet but also in nonisentropic zones of flow under certain conditions.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 88–94, January–February, 1973.     

Effect of symmetry and asymmetry of turbulent structures on the interaction region of a plane jet

Mean and rms velocity and temperature measurements are made in the near field of a plane jet for two different sets of conditions at the beginning of the interaction region. In the first, the jet has a nearly top-hat velocity profile and laminar boundary layers at the nozzle exit. Schlieren photography and spectral coherence measurements show that the mixing layer structures are strongly organised and symmetric about the centreline. In the second, the jet issues from a two-dimensional duct with a nearly fully developed velocity profile so that, upstream of the interaction region, turbulent structures should be three-dimensional and asymmetric about the jet centreline. The resulting weak interaction obtained in this case contrasts with the strong interaction measured in the first case.     

Investigation of micro-jet active control of a precessing jet using PIV

A circular jet entering an open-ended concentric circular chamber can rotate or precess about the jet axis for certain flow conditions and chamber configurations. Active flow control of a precessing jet provides the ability to influence the flow field inside the chamber and the resulting flow after the chamber exit. Twelve micro-jets surrounding the jet at the chamber inlet are used as actuation. At the chamber exit, four pressure probes and three-component velocity measurement using stereo particle image velocimetry (stereo-PIV) is used to monitor the flow. A phase plane method using signals from the pressure sensors is developed to monitor the location of the jet high-velocity region in real-time. Phase-locked stereo-PIV, triggered by the micro-jet actuation signal, is used to investigate the flow field and validate the pressure phase plane results. The effectiveness of the micro-jet actuation and the validation of the pressure phase plane measurements demonstrate actuation and the sensing needed for future closed-loop control of the precessing jet.     

Influence of probe sampling on reacting species measurement in diluted combustion

In-flame measurements of temperature and major species are realized with intrusive probes in a laboratory scale furnace working in diluted combustion. The shape and the position of the reaction zone are experimentally identified from the distribution of temperature and carbon monoxide in a particular symmetry plane. For this purpose, two probes were designed: the sampling probe, to measure species content of the gas sample and the suction pyrometer, for the temperature. The first is completely cooled to quench the reaction, but the second is just partly cooled for handling. However, as both probes take gas sample, the species content is available in either case. Consequently the suction pyrometer can be used to measure simultaneously temperature and species, reducing by half the length of the experimental campaign.Comparing species contents on a non-reactive mixture, it has been observed that the spatial averaging is the same with both probes. The perturbation of the flow is assessed thanks to a CFD modeling of the furnace including the probe. Even if it is significant – the differences between the computed values and the measurements are about 3–4 times the measurement error – the position and the value of the maximum is well captured as well as the opening of the jet.However, the species contents measured within a reactive mixture differ significantly. For a stable regime, the levels and the distribution of CO are similar with both probes, but the gradients at the border of the reaction zone are sharper with the suction pyrometer. For another regime, for which the reaction zone is lifted and less stable, the fields of species are completely different following the probe used. A chemical kinetic modeling has shown that the reaction inside the non-cooled part of the suction pyrometer is promoted when it is placed in particular region.The use of the suction pyrometer as sampling probe inside a reaction zone should therefore be avoided even in diluted combustion. The error made on the fields of species cannot be quantified to be taken into account a posteriori, because in certain conditions the results are completely unrealistic.     

Space–time correlation measurements of high-speed axisymmetric jets using optical deflectometry

An optical deflectometry system is used to provide unique space–time correlation measurements at two positions separated by varying axial distances within a high-speed jet shear layer. The measurements were made for both pure air and for helium/air mixture jets at Mach numbers M=0.9 and M=1.5. The jets issue from round nozzles and the sensing volumes at the two measurement positions consist of small light filaments along spanwise lines that are tangential to the annular jet shear layer. Applying this technique to obtain measurements detailing the level of correlation, spectral content, and convection velocity for jet flows in these flow regimes near the end of the potential core is particularly important in the understanding and prediction of jet noise. Measurements near the end of the potential core along the jet lip line exhibit distinct cross-correlation curves for the pure air jet cases. However, helium/air mixture jets display much lower levels of correlation and little evidence of large-scale structure in the measured spectra. It is believed that the thick visual density gradients dominated by smaller scales throughout the shear layer of the helium/air mixture jets effectively mask the large-scale structure, thus, reflecting a limitation of this optical deflectometer. Finally, a decrease in normalized convection velocity with helium addition is observed.     

Investigation of turbulent flows via pseudo flow visualization part I: Axisymmetric jet mixing layer

Hot-wire anemometer measurements obtained in the near-field axisymmetric jet mixing layer by Glauser and George [1] are examined using a pseudo flow visualization (PFV) technique. Pseudo flow visualization is a visualization procedure used to manipulate data obtained from an array of probes to create a graphical representation of the instantaneous and fluctuating velocity components of a flow field. An indicator function was employed to identify the frequency content of each velocity-time trace, giving insight into the analysis of the visualizations. From this application, the natural shedding frequency, or preferred mode, of the large-scale structures was determined and compared with the conventional streamwise and radial spectral measurements acquired by Glauser and George [1]. Furthermore, the wavelength of the preferred mode, nondimensionalized by the jet exit diameter, was determined to be approximately 2.4, a result consistent with the work of Crowe and Champagne [2]. In Part 1 the technique is developed and discussed for the fundamental and fairly well-researched mixing layer of the axisymmetric jet. Our aim is to verify the effectiveness of PFV in the context of a well-documented flow. In Part 2, this technique is then applied to an industrial flow field, namely, the mixing region of a lobed mixer     

出口条件对圆形湍流射流远场区自保持性的影响

报道出口条件对圆形湍流射流自保持性影响的实验研究结果. 对来自渐缩和长管两种不同结构喷嘴的射流,在相同雷诺数条件下,沿轴线进行了速度测量; 研究的统计量包括平均速度、湍流强度、高阶矩、能谱和积分尺度. 实验结果表明,渐缩喷嘴射流比长管射流发展得更快、更容易达到自保持状态. 通过对比发现,在两射流的速度(温度)场中,平均速度(温度)、湍流强度、偏斜因子和平坦度因子都存在明显的异同. 同时发现两射流的积分尺度随轴向距离的增加都成线性增长,且在渐缩喷嘴射流中增长得更快. 通过对比两射流的边界层厚度、径向与轴向湍流强度的比值、湍动能能谱图并结合前人的研究结果,对两射流湍流场所表现出的不同的统计学行为给出了合理的解释.      

Mean Flow and Turbulence Measurements in a Turbulent Free Cruciform Jet

The results of measurements of all three components of the mean velocity vector, the Reynolds normal and primary shear stresses and the mean static pressure in a turbulent free jet, issuing from a sharp-edged cruciform orifice, are presented in this paper. The measurements were made with an x-array hot-wire probe and a pitot-static tube in the near flow field of the jet. The Reynolds number, based upon the equivalent diameter of the orifice, was 1.70 × 10⁵. In addition to the quantities measured directly, the mean streamwise centreline velocity decay, the jet half-velocity widths, the jet spreading rate, the mean streamwise vorticity, the mass entrainment rate, the integral momentum flux and the one-dimensional energy spectra have been derived from the measured data. The results show that the mean streamwise centreline velocity decay rate of the cruciform jet is higher than that of a round jet issuing from an orifice with the same exit area as that of the cruciform orifice. The mean streamwise velocity field changed shape continuously from a cruciform close to the orifice exit plane to circular at 12 and half equivalent diameters downstream. The mean streamwise vorticity field, up to about three equivalent diameters downstream of the orifice exit plane, consists of four pairs of counter-rotating cells, which are aligned with the four edges in the centre of the cruciform orifice.     

Jet flow field during screech

Measurements were made of the flow field structure and the near field parameters of a jet exhausting from a sonic nozzle with a 1.27 cm exit diameter. Compressed air was used for obtaining stagnation pressures up to ～5 atmospheres. The jet exhausted vertically from a settling chamber into an acoustically insulated room and through an insulated duct out through the roof. Measurements were made with several different reflecting surfaces at the nozzle exit as well as an insulating surface. Schlieren pictures at 500,000 frames/s were taken. Overall sound pressure level, impact pressure level downstream, and sound frequency analyzer measurements were made. It was found that with a reflecting surface there was a radial oscillation of the jet which had the same frequency as the dominant sound (screech) frequency emitted by the jet. No axial motion of the inviscid part of the flow structure was detected. The insulated surface at the nozzle exit appeared to shift the dominant frequencies of the sound generated into the region above the audible (>16 KHz). A reflecting surface yielded “pure tones” (screech) with one or two harmonics. The dominant (screech) frequency decreased as the stagnation pressure increased. The screech frequency was found to be approximately inversely proportional to the length of the first shock cell.     

The background oriented schlieren technique: sensitivity, accuracy, resolution and application to a three-dimensional density field

Three-dimensional density information of a double free air jet was acquired using optical tomography. The projections of the density field were measured using the background oriented schlieren method (BOS). Preceding the free jet measurements, the sensitivity, accuracy and resolution of the BOS method were investigated. The sensitivity depends mostly on the focal length of the lens used, the relative position of the object between camera and background and the smallest detectable shift in the image plane. The accuracy was found to be sufficiently high to apply a tomographic reconstruction process. The resolution is determined by the transfer function of the BOS-method. It is not constant and depends on the size of the interrogation windows used for the cross-correlation-algorithm. The reconstruction of the free jet was computed, using filtered back projection. The reconstructed 3D density field shows with good resolution the typical diamond structure of the density distribution in under-expanded free jets.     

Effect of bubbles on the turbulence near the exit of a liquid jet

The objective of this paper is to examine the effect of bubbles on the turbulence levels of a water jet. Simultaneous measurements of the axial and radial velocity components were taken in a bubbly jet with a Laser Doppler Velocimeter (LDV) and then compared to the velocities of a single phase jet at the same liquid flow rate. Mean bubble diameters ranged from 0.6 to 2 mm and the void fractions were up to about 20%. The liquid Reynolds numbers were from 5,000 to 10,000 approximately. The measurements extended to from an axial distance of 4–12 cm. It was observed that bubbles did not affect significantly the average velocity profiles in the jet. However bubbles increased the turbulence intensities in the core of the jet near the jet exit. The increase in turbulence intensities was more pronounced at lower Reynolds numbers and at higher void fractions.     

Density field of supersonic separated flow past an afterbody nozzle using tomographic reconstruction of BOS data

The background oriented Schlieren (BOS) technique has been applied to determine the density field in an oblique shock-separated turbulent boundary flow. Measurements were made for two cases, namely, with/without jet flow from the afterbody which is a nozzle. In addition, oil flow and Schlieren visualizations were carried out—the results show certain upstream features of interest including shock excursions. The mean density field from BOS is discussed along with results from conventional Schlieren flow visualization. The data extracted from the mean density field obtained through BOS have been compared for the jet-off and jet-on cases. The data obtained also show the mean density in the base region (jet-off case) to be about 50% of the freestream density and match the isentropic values for the underexpanded jet at the exit. The study involving shock–boundary interaction, movement of freestream shock over the afterbody in the presence of a jet plume provides understanding of flow physics in a flow regime where whole field velocity measurements are extremely difficult.     

Investigation of the microstructure a turbulent jet in a wake

The study of the characteristics of the turbulence in the boundary layer and in free jets is one of the most important problems of the aerodynamics of viscous fluids. The accumulation of information on the pulsation characteristics of jet flows and the establishment of the corresponding governing laws may serve to verify the basic hypotheses of the semiempirical theories of turbulence, and also for the development of more advanced computational methods. In many cases the measurement of the pulsation characteristics of turbulent jets is of practical interest.The studies made up till now [1–5] of the microstructure of turbulent flow in the primary region of submerged axisymmetric jets have made it possible to obtain several interesting results. In particular, in addition to the average velocity profiles, hot-wire anemometric equipment has been used to measure the normal and tangential Reynolds stresses and also the intermittency factor in cross sections of the jet, the distribution of the intensity of the longitudinal and lateral velocity pulsations along the axis, the correlation coefficients and the corresponding integral turbulence scales, etc. These measurements have made it possible to draw several important conclusions on the mechanism of turbulent exchange, on the order of the terms omitted in the equation of motion, and on the semiempirical theories of turbulence [6–9].The common deficiency of the studies mentioned above is that near the boundary of a submerged jet, where the average velocity is practically equal to zero, the intensity of the pulsations is so great that it makes the reliability of the results obtained by means of the hotwire anemometer questionable. In this connection Townsend [6] indicated the advisability of studying the microstructure of a turbulent jet issuing into a low-velocity ambient flow.The present study had as its objective the investigation of the microstructure of the primary region of an axisymmetric jet in a wake flow over quite a broad range of the flow ratio parameter m=u/u₀;here u₀ is the average velocity at the nozzle exit, u is the velocity of the ambient stream. For various values of the parameter m in the primary region of the jet measurements were made of the profiles of the three components of the pulsation velocity and the Reynolds shear stresses, and also the values of the average velocity and two components of the pulsation velocity at a large number of points on the jet axis. The measured profiles of the Reynolds shear stresses were compared with the corresponding profiles calculated on the basis of the boundary layer equations from the experimentally determined average velocity profiles. For two values of the parameter m, in one of the sections of the jet measurements were made of the correlation coefficients of the longitudinal components of the pulsation velocity and the variation across the jet of the integral turbulence scale was determined.The results obtained give an idea of the influence of the parameter m on the characteristics of the turbulent jet in an ambient stream.