RMS spanwise vorticity measurements in a turbulent boundary layer

Turbulent boundary layer measurements of the rms spanwise vorticity t_z with a four hot-wire probe are in reasonable agreement with direct numerical simulations and other published measurements at comparable Reynolds numbers. It is shown that a reasonable accurate approximation for _z can be obtained with only two parallel hot wires.     

Velocity measurements in a plane turbulent air jet at moderate Reynolds numbers

An experimental investigation of the moderate Reynolds number plane air jets was undertaken and the effect of the jet Reynolds number on the turbulent flow structure was determined. The Reynolds number, which was defined by the jet exit conditions, was varied between 1000 and 7000. Other initial conditions, such as the initial turbulence intensity, were kept constant throughout the experiments. Both hot-wire and laser Doppler anemometry were used for the velocity measurements. In the moderate Reynolds number regime, the turbulent flow structure is in transition. The average size and the number of the large scale of turbulence (per unit length of jet) was unaffected by the Reynolds number. A broadening of the turbulent spectra with increasing Reynolds number was observed. This indicated that there is a decrease in the strength of the large eddies resulting from a reduction of the relative energy available to them. This diminished the jet mixing with the ambient as the Reynolds number increased. Higher Reynolds numbers led to lower jet dilution and spread rates. On the other hand, at higher Reynolds numbers the dependence of jet mixing on Reynolds number became less significant as the turbulent flow structure developed into a self-preserving state.List of symbols b _u velocity half-width of the jet - C _u, C _u,0 constants defining the velocity decay rate - D nozzle width - E _u one dimensional power spectrum of velocity fluctuations - f frequency - K _u, K _u,0 constants defining the jet spread rate - k wavenumber (2f/U) - L longitudinal integral scale - R ₁₁ correlation function - r separation distance - Re jet Reynolds number (U ₀ D/v) - St Strouhal number (fD/U ₀) - t time - U axial component of the mean velocity - U _m mean velocity on the jet axis - U ₀ mean velocity at the jet exit - u the rms of u - u fluctuating component of the axial velocity - V lateral component of the mean velocity - fluctuating component of the lateral velocity - x axial distance from the nozzle exit - y lateral distance from the jet axis - z spanwise distance from the jet axis - v kinematic viscosity - time lag A version of this paper was presented as paper no. 86-0038 at the AIAA 24th Aerospace Sciences Meeting, Reno NV, USA, January 1986     

Turbulence reduction in the mixing layer of a plane jet using small cylinders

 The influence of small diameter cylinders placed at the nozzle exit plane on the development of a plane jet mixing layer is investigated using a single hot wire at a jet Reynolds number of about 23000. There is a reduction in both the growth rate and the momentum thickness of the jet as well as a 20% reduction in the maximum value of u′, the rms longitudinal velocity fluctuation u. The jet virtual origin is shifted downstream and distributions of the normalized mean velocity, u′, skewness and flatness factors of u exhibit much better similarity than in the absence of the cylinder. Spectral measurements indicate that downstream of the cylinder, the peak amplitude at the roll-up or instability frequency is greatly reduced or even suppressed. Two different diameter cylinders, placed independently at several locations in the shear layer yielded similar results. A model based on an interaction between the organized motion in the mixing layer and the vortical structures shed by the cylinder is consistent with our observations. Received: 23 June 1997 / Accepted: 8 December 1997     

Spanwise vorticity measurements in a perturbed boundary layer

Hot-wire measurements of the spanwise vorticity fluctuation _z have been carried out in a turbulent boundary layer subjected to concentrated suction, applied through a porous wall strip. The results indicate that, relative to the no-suction case, the rms value of _z is significantly reduced in the near-wall region, with this reduction increasing with the suction rate . The reduction near the wall suggests an alteration in the dynamics of the layer. As the Reynolds number increases, the dynamics of the layer in the near-wall region become more intense and suction becomes less effective.     

Velocity measurements in a two-phase turbulent jet

The motion of oil droplets in a round turbulent air jet is investigated experimentally. Direct information on the droplets' average velocity is obtained by means of a Laser Doppler velocimeter. Average velocity profiles of the droplets are measured along the axis of the jet and transverse to it. The results are compared to the free jet expansion.The jet Reynolds number is in the range 10⁴–10⁵, the droplets' diameters are 50 μm and below and the volume concentration of the oil in the air is 10^?6.At the jet exit, the air velocity is higher than the droplets' velocity, at the developed region of the jet the droplets' velocity is found to be higher than the free air jet velocity at the same location. In the radial direction, the velocity profiles of the droplets are self similar and the droplets' velocity is lower than the free air jet velocity at the same location. The droplets' velocity decay along the axis of the jet is slower than the air velocity in the free jet and the two-phase jet is narrower than the submerged free air jet at the same exit velocity.     

激励射流在超声速流场中的混合的特性研究

Hartmann-Sprenger（H-S）管处于吞吐模式下可以产生高频高幅度的气流振荡。本文将H-S管集成到传统射流装置中形成激励射流,研究其在超声速流场中的混合特性。本文设计了三种频率的CO2激励射流,将其横向注入马赫数2.5的均匀超声速来流当中。采用平面激光散射技术对其进行瞬态可视化成像,利用组分采样、测量总压进行时均分析。结果表明:H-S激励射流可以有效提高射流穿透深度,形成较多大尺度结构,从而获得较好的混合效果。关键词: 激励射流 超声速混合 穿透深度 大尺度结构      

Velocity measurements of turbulence collapse in a linearly stratified jet

The behavior of a horizontal turbulent round jet␣in a linearly density-stratified fluid is studied and compared to the unstratified case using digital particle-tracking velocimetry (DPTV). Close to the nozzle, the stratified jet grows axisymmetrically at the same rate as an unstratified jet. At a critical distance downstream, the vertical growth is suppressed, while the lateral spreading increases. The self-similar nature of unstratified round jets is not preserved in the stratified case. The velocity field and turbulent stresses are affected by the stratification closer to the jet nozzle than is expected from the flow visualization observations. In particular, the vertical normal stress and shear stress are significantly reduced compared to the unstratified case. Received: 11 September 2000/Accepted: 28 March 2001     

Velocity measurements in a turbulent,dilute, two-phase jet

The results of an experimental investigation into the behavior of unconfined, steady, fully turbulent, two-phase jets are described. A round jet of 25.4 mm in diameter, exit velocity of 20 m/s and containing 80 m beads with a mass density of loading of 1.5% was examined. Mean velocity profiles at several stations, as well as the rms values and velocity cross-correlations for both phases were measured by laser-Doppler velocimetry. It was found that the particles lagged the fluid by 8% near the exit, but later, at 9 jet diameters downstream led it by about 7%. Also, the velocity profiles of the particles were flatter than those of the fluid.     

超声速平面混合层小激波的形成与演变

为了揭示超声速混合层中小激波形成机理及其与涡相互作用的演变过程,本文基于大涡模拟（LES）方法,结合五阶精度混合TCD／WENO格式,对超声速平面混合层在对流马赫数为Mc=0．65条件下的流场结构进行了数值模拟,数值结果详细描述了超声速混合层中小激波的形成过程。研究了小激波形成后,随涡运动而产生的变形、脱落及发展过程。同时,对混合层双涡合并过程中,小激波与相邻涡相互作用所产生的变形与演变过程进行了讨论。     

Simultaneous concentration and velocity field measurements in a shock-accelerated mixing layer

A novel technique to obtain simultaneous velocity and concentration measurements is applied to the Richtmyer–Meshkov instability. After acceleration by a Mach 2.2 shock wave, the interface between the two gases develops into a turbulent mixing layer. A time-separated pair of acetone planar laser-induced fluorescence images are processed to yield concentration and, through application of the Advection-Corrected Correlation Image Velocimetry technique, velocity fields. This is the first application of this technique to shock-accelerated flows. We show that when applied to numerical simulations, this technique reproduces the velocity field to a similar quality as particle image velocimetry. When applied to the turbulent mixing layer of the experiments, information about the Reynolds number and anisotropy of the flow is obtained.     

Dilution and mixing in an unsteady jet

 The mixing characteristics of a round, turbulent, unsteady jet were studied experimentally. A gravity-driven flow was created by releasing dyed fluid from a vertical tube into a large water tank. The jet velocity increased from zero to a maximum and then decreased continuously such that each run lasted about  s. The jet dilution was examined by an optical absorption technique that measured the line integral of concentration across the jet diameter. These measurements revealed that the portion of the unsteady jet corresponding to the deceleration phase dilutes more than the steady jet. The molecular scale mixing, as deduced from an acid-base neutralization reaction, corroborated the finding that the jet mixes in a shorter distance than the steady jet. Received: 22 August 1996/Accepted: 4 February 1997     

Velocity measurements in a precessing jet flow using a three dimensional LDA system

 The turbulent, three dimensional and time dependent flow field of a precessing jet is investigated. In the present case the jet precession is generated by mechanically rotating a round jet inclined relative to the axis of rotation. A conditional flow visualisation technique is used to complement three dimensional laser Doppler velocity data, time-averaged and phase-averaged at the frequency of precession. The conditional phase-averaging technique enables phase-averaged velocity contours and vectors to be obtained which reveal flow patterns and structures within the flow field. Time-averaging of the velocity data shows that these structures are significant in that they generate a reverse flow (recirculation) region between the jet and its spinning axis. They are found also to cause a rapid decay of the mean velocity. The characteristics of the precessing jet found here are compared with previous investigations of the same flow and with investigations of other turbulent jets. Received: 17 March 1995/Accepted: 7 December 1995     

Research on particle dispersion in a plane mixing layer with coherent structures

The numerical simulation with two-way coupling was performed in a liquid -particle mixing layer and the corresponding experiment study was made. In the process of vortex rolling up and vortices pairing, the particles with different St number have a very different pattern of dispersion. The mean velocity of particle with St = 1 is higher than that of the fluid phase on the low-speed side, and lower than that of the fluid phase on the high-speed side. The RMS of particle approaches that of the fluid phase with decreasing particle St number. The RMS in the transverse direction is smaller than that in the streamwise direction. The velocity fluctuation correlation of particle is smaller than the Reynolds shear stress, the “overshoot“ phenomenon that the velocity fluctuation correlation of particle is larger than the Reynolds shear stress does not appear. The larger the St number of particle is, the wider the range of the particle dispersion will be. The computed results are in agreement with the experimental ones.     

Phase-resolved PIV measurements in a transitional plane wall jet: a numerical comparison

The transitional process of a forced plane wall jet is studied both experimentally and numerically. Experimentally, Particle Image Velocimetry (PIV) and laser-sheet/smoke flow-visualization techniques are implemented to provide an overall understanding of the flow features. Numerically, time-accurate computational results are obtained by solving the two-dimensional, unsteady Navier–Stokes equations. Comparison of PIV data and two-dimensional computed results shows excellent agreement in the early stages of transition, demonstrating that the numerical study can be used to complement the experimental one. The results show that, under the influence of external excitation, linear-instability growth is bypassed and a discrete shear-layer vortex is formed in the immediate vicinity of the nozzle exit. This vortex interacts with the boundary-layer vorticity, leading to the formation of another vortex in the inner layer. These two vortices form a vortex couple that for high forcing convects downstream in a stable manner. By adoption of either a no-slip or a slip boundary condition in the numerical computation, it is determined that the flow development is relatively insensitive to the imposed wall-boundary condition. This seems to suggest that the physical mechanism leading to the formation of the boundary-layer vortex is an inviscid rotational one. Received: 14 February 1998/Accepted: 11 August 1998     

Simultaneous velocity and concentration field measurements of passive-scalar mixing in a confined rectangular jet

Simultaneous velocity and concentration fields in a confined liquid-phase rectangular jet with a Reynolds number based on the hydraulic diameter of 50,000 (or 10,000 based on the velocity difference between streams and the jet exit dimension) and a Schmidt number of 1,250 were obtained by means of a combined particle image velocimetry (PIV) and planar laser-induced fluorescence (PLIF) system. Data were collected at the jet exit and six further downstream locations. The velocity and concentration field data were analyzed for flow statistics such as turbulent fluxes, turbulent viscosity and diffusivity, and turbulent Schmidt number (Sc _T ). The streamwise turbulent flux was found to be larger than the transverse turbulent flux, and the mean concentration gradient was not aligned with the turbulent flux vector. The average Sc _T was found to vary both in streamwise and in cross stream directions and had a mean value around 0.8, a value consistent with the literature. Spatial correlation fields of turbulent fluxes and concentration were then determined. The R _u′ϕ′ correlation was elliptical in shape with a major axis tilted downward with respect to the streamwise axis, whereas the R _v′ϕ′ correlation was an ellipse with a major axis aligned with the cross-stream direction. Negative regions of R _u′ϕ′ were observed in the outer streams, and these negatively correlated regions decayed with downstream distance and finally disappeared altogether. The R _ϕ′ϕ′ correlation field was found to be an ellipse with the major axis inclined at about 45° with respect to the streamwise direction. Linear stochastic estimation was used to interpret spatial correlation data and to determine conditional flow structures. It is believed that a vortex street formed near the splitter plate is responsible for the negatively correlated region observed in the R _u′ϕ′ spatial correlations of turbulent fluxes. A positive concentration fluctuation event was observed to correspond to a finger of nearly uniform concentration fluid reaching out into the outer stream, whereas a negative event corresponds to a pocket of nearly uniform fluid being entrained from the outer stream into the center jet region. Large-scale vortical structures were observed in the conditional velocity fields with an elliptical shape and a streamwise major axis. The growth of the structure size increased linearly initially but then grew more slowly as the flow transitioned toward channel flow. Support of this work was provided by the National Science Foundation through grants CTS-9985678 and CTS-0336435 and by the Dow Chemical Company. The author greatly acknowledge Charles Lipp at Dow Chemical and Ken Junk at Emerson Fisher for their valuable assistance in the design and construction of the flow system.     

Simultaneous measurement of particle and fluid velocities in a plane mixing layer with dispersion

 An optical method is presented to measure simultaneously and separately the velocity field of both phases in particle-laden flows. The fluid is seeded with flow markers which are fluorescent at a specific wavelength and thus can be distinguished from the sediment particles by applying an optical filter. The motion of each phase is recorded by two CCD cameras, which are triggered such that a high correlation between subsequent images is guaranteed. The velocity fields are determined by means of least-square matching of a group of particles. The whole set-up was applied to study the sedimentation of particles through a rapidly evolving mixing layer. Received: 14 June 1999/Accepted: 15 January 2000     

Turbulence measurements from a plane air jet with buoyancy induced curvature

An experimental investigation of the turbulence structure of a heated plane air jet discharged at various angles into quiescent surroundings is described. Hot-wire anemometry was used to obtain the profiles of mean and turbulent velocities and temperature normal and tangential to the curved path of the flow. Measurements in the buoyancy induced curved region of the jet show the relative influence of the stability induced by both buoyancy and jet curvature on the turbulence structure.