Selective seeding for micro-PIV

A novel seeding method for microscale particle image velocimetry (micro-PIV) is presented. The method relies on selective seeding of a thin fluid layer within an otherwise particle-free flow. In analogy to the laser sheet in macroscale PIV, the generated particle sheet defines both the depth and the position of the measurement plane, independent of the details of the optical setup. Selectively seeded micro-PIV is applied to measure the instantaneous velocity field in a microchannel with a depth-wise resolution 20% below the estimated optical measurement depth of the micro-PIV system. In principle, a measurement depth corresponding to the diameter of the tracer particles may be achieved.

---

Wall-shear-stress and near-wall turbulence measurements up to single pixel resolution by means of long-distance micro-PIV

A digital large-format long-distance micro-particle image velocimetry system (μ-PIV) was developed to measure the wall-shear-stress and the near-wall flow properties in a laminar, transitional and turbulent boundary layer flow along a flat plate, non-intrusively with high accuracy and spatial resolution. To achieve the desired measurement accuracy and spatial resolution, all experimental limitations associated with the seeding, light-sheet, out-of-focus particles, optical aberrations and distortions were successfully solved and various spatial correlation image analysis approaches based on the two-point or single-pixel ensemble correlation were developed, analyzed and compared with the state-of-the-art spatial correlation techniques. The instrument is well suited to prove fundamental fluid mechanical hypotheses such as the universality of the constants κ and B of the logarithmic law. However, for the analysis of flows at large Reynolds and Mach numbers, where small spatial dimensions and strong flow gradients prevent accurate measurements, this technique can be applied as well.     

A compact viewing configuration for stereoscopic micro-PIV utilizing mm-sized mirrors

When applying PIV to micrometer-resolution systems, the out-of-plane velocity component has shown to be much more difficult to obtain than the two in-plane velocity components. In this work, we present a novel stereoscopic viewing configuration for stereoscopic micro-PIV, utilizing mm-sized mirrors introduced in front of the microscope objective lens. Attractive applications, where the advantage of the mirror viewing configuration system could be utilized, include (on-chip) miniaturization and the potential to introduce more than two simultaneous viewing angles. Here, a first validation of our system is presented, including stereoscopic micro-PIV measurements in a micro-fabricated test device.     

On the effect of particle image intensity and image preprocessing on the depth of correlation in micro-PIV

The depth of correlation (DOC) is an experimental parameter, introduced to quantify the thickness of the measurement volume and thus the depth resolution in microscopic particle image velocimetry (μPIV). The theory developed to estimate the value of the DOC relies on some approximations that are not always verified in actual experiments, such as a single thin-lens optical system. In many practical μPIV experiments, a deviation of the actual DOC from its nominal value can be expected, due for instance to additional components present in the optical path of the microscope or to the use of image preprocessing before the PIV evaluation. In the presented paper, the effect of real particle image intensity distribution and image preprocessing on the thickness of the measurement volume is investigated. This is performed studying the defocusing of tracer particles and the DOC-related bias error present in μPIV measurements in a Poiseuille flow. The analysis shows that the DOC predicted using the conventional formulas can be significantly smaller than its actual value. To overcome this problem, the use of an effective NA determined experimentally from the curvature of the image autocorrelations is proposed. The accuracy of this approach to properly predict the actual size of DOC is discussed and validated on the experimental data. The effectiveness of image preprocessing to reduce the DOC-related bias error is tested and discussed as well.     

Investigations on LED illumination for micro-PIV including a novel front-lit configuration

In this study, we provide a general investigation on micro-PIV with LED illumination. A number of improvements over previous LED-based systems are suggested, in particular, we present a novel front-lit configuration. As a demonstration of its versatility we have used this front-lit configuration to perform micro-PIV measurements around a 50 μm squared pillar in a micro-channel with rectangular cross section, in both fluorescent mode and scattered mode. A comparison between the two modes is supplied, showing very good agreement between the respective velocity field results.     

An investigation of the spatial resolution requirements for two-point correlation measurements using LDV

The spatial resolution requirements for accurate two-point correlation measurements at small separations are investigated. Practical guidelines in terms of characteristic measuring volume sizes and estimated Kolmogorov length scales are given. Sample measurements of two-point one-component longitudinal correlations on the centerline of a turbulent jet are presented.Financial support from NUTEK, the Swedish National Board for Industrial and Technical Development, is acknowledged.     

Limits on the resolution of correlation PIV iterative methods. Fundamentals

The spatial resolution of correlation particle image velocimetry (PIV) is a frequently addressed issue that still raises scientific interest. In conventional non-iterative PIV, the spatial resolution limits are of common knowledge (Willert and Gharib (1991) Exp Fluids 10:181–193; Raffel et al. (1998) ISBN 3-540-63683-8, Springer, Berlin Heidelberg New York, among others). On the contrary, those advanced iterative multipass methods that use image distortion techniques or multigrid techniques present a more complex scenario. One of the concepts that raises more debate is the limiting effect of the interrogation window size. This paper focuses on the subject, trying to clarify key points. The results indicate that iterative algorithms using an appropriate weighting function eliminate the window size from the ensemble of spatial resolution limits.     

Canonical ensemble for static elastic structures with random microstructures

A constant-(N,V,T,θ) ensemble is proposed to describe the elastostatics of random solid structures. Within the harmonic approximation, the energy of such a solid structure is the sum of a thermal and a strain component without mutual interaction. Systems in this ensemble thus draw energies from two separate baths: one thermal and the other mechanical. A mechanical entropy and an effective temperature (θ) can then be defined on the same rigorous basis as the thermal entropy and the Kelvin temperature (T). This ensemble approach can be used to calculate the properties of solid structures sharing similar microstructural randomness.     

Microstructure damage at ensemble of points for grain composites

Fracture concentration zones are considered in microstructure elements of grain composites. Mathematical model of micro-heterogeneous medium with random properties of elements is used for calculations. The distribution laws for the modules of elasticity and ultimate strengths in the elements as well as the tensor of macroscopic deformations for the composite serve as the initial data. Different types of stresses are evaluated. Correlation functions for micro stresses are obtained by the Green’s tensor method.Random microstructure strength condition is a difference between the stress and the ultimate strength at any point of an ensemble with a particular configuration. The probability of simultaneously exceeding the ultimate strength in this set of elements determines the likelihood of failure of this ensemble of points and the relative damage at the micro level.The damage is calculated using multivariate normal distribution. Structure of correlation matrix of distribution depends on the type of fracture concentration zones. Correlation functions of microstructure strength condition depend on the distance between the points of the ensemble. Calculations of multipoint damage are provided for several configurations of points, in particular, for the three points on a straight line segment, and for the five points in the vertices and the center of a tetrahedron. For two-dimensional distribution density, the smoothing surface formulas are derived, taking into account the moments of stresses up to and including the fourth order.The influence of microstructure properties and the type of ensemble of points on composite damage is demonstrated. Study of microstructure damage enables the prediction of early stages of construction material failure.     

Laser correlation velocimetry performance in diesel applications: spatial selectivity and velocity sensitivity

The characterization of diesel jets in the near field of the nozzle exit still presents challenges for experimenters. Detailed velocity measurements are needed to characterize diesel injector performance and also to establish boundary conditions for CFD codes. The present article examines the efficiency of laser correlation velocimetry (LCV) applied to diesel spray characterization. A new optical configuration based on a long-distance microscope was tested, and special care was taken to examine the spatial selectivity of the technique. Results show that the depth of the measurement volume (along the laser beam) of LCV extends beyond the depth of field of the imaging setup. The LCV results were also found to be particularly sensitive to high-speed elements of a spray. Results from high-pressure diesel jets in a back-pressure environment indicate that this technique is particularly suited to the very near field of the nozzle exit, where the flow is the narrowest and where the velocity distribution is not too large. It is also shown that the performance of the LCV technique is controlled by the filtering and windowing parameters used in the processing of the raw signals.     

Adaptive grids for resolution enhancement

After a brief review of various moving grid methods for resolution enhancement, we present the deformation method originated from differential geometry. The method is used to relocate the nodes of an initial grid according to the solution through a set of deformation differential equations. The node velocity is determined by a monitor function constructed from physical variable(s) through a scalar Poisson equation. It is proved mathematically that the cell volume is proportional to the monitor function at each time step. In particular, the moving grid mapping has positive Jacobian determinant and thus will not fold into itself. The moving grid method is then applied to the Euler equation. The results showed that the grid indeed follows the monitor function closely and that the method significantly improves the resolution compared to uniform grids of the same amount of nodes. Received 27 July 2001 / Accepted 24 April 2002 Published online 8 July 2002     

Adaptive space resolution for PIV

By using standard particle image velocimetry algorithms the interrogation windows are placed on a structured grid and the spatial resolution is manually chosen. Clearly, a better approach is to choose automatically the processing parameters and to adapt them locally both to the seeding density and flow conditions. An adaptive space resolution method is introduced herein and the performance assessment performed by using both synthetic and real images clearly shows the advantages of the technique.     

Asymptotic dynamical equations for an ensemble of nonlinear dispersive waves

Self-consistent dynamical equations are derived for the propagation and interaction of an ensemble of short waves and a long wave propagating in a nonlinear dispersive medium. The method of multiple scales is applied to simple model systems to develop systematically an asymptotic perturbation analysis and to clarify the structure of the approximations that are involved. Some properties of these interaction equations are examined, taking into account their relationship to other existing equations for single or several waves. It is shown that the group velocity dispersion is of considerable importance to the dynamics of wave interactions.     

Limits on the resolution of correlation PIV iterative methods. Practical implementation and design of weighting functions

Elsewhere in this volume (Nogueira et al. (2005) Exp Fluids, in press), the conceptual background that explains the possibility of resolving wavelengths smaller than the size of the interrogation window, with no basic restrictions but sampling, has been explained. Here, a practical implementation of the concepts is performed. To achieve this resolution in iterative PIV processing, an appropriate weighting function can be used, as commented in that reference. Here, the constraints for the design of such weighting functions are presented and analysed. This opens a line of work on possible weighting functions to develop, since the weightings used in these iterative methods, like local field correction particle image velocimetry (LFC-PIV) (Nogueira et al. (1999) Exp Fluids 27(2):107–116), have not been optimised yet. As an example, different weighting functions are commented and tested both on synthetic and real images. The results on these new weightings indicate that the current ones can be improved and the optimisation criteria are open for further advancement.     

网络RTK参考站间模糊度动态解算中病态方程的一种解算方法

在网络RTK参考站间的模糊度估计中,若误差方程严重病态,将导致模糊度解与其准确值偏差较大或整周模糊度无法固定,因此提出了一种适于网络RTK模糊度动态解算的新方案：1）法方程病态性的判断;2）Tikhonov正则化解算病态方程;3）LAMBDA方法搜索固定整周模糊度。同时,深入研究了Tikhonov正则化矩阵的构造方法和正则化参数的选取准则。最后以实例验证了采用此方案解算病态方程是可行的,通过选取合适的正则化参数可以解得准确的整周模糊度;详细讨论了选择不同的正则化参数对模糊度解算结果的影响。     

Enzyme-metal nanocomposites for antibacterial applications

Metal nanoparticles have been used as antibacterial agents widely,and the combined use of enzymes and metal nanoparticles promotes antibacterial activity,achiev...     

Multi-frame pyramid correlation for time-resolved PIV

A novel technique is introduced to increase the precision and robustness of time-resolved particle image velocimetry (TR-PIV) measurements. The innovative element of the technique is the linear combination of the correlation signal computed at different separation time intervals. The domain of the correlation signal resulting from different temporal separations is matched via homothetic transformation prior to the averaging of the correlation maps. The resulting ensemble-averaged correlation function features a significantly higher signal-to-noise ratio and a more precise velocity estimation due to the evaluation of a larger particle image displacement. The method relies on a local optimization of the observation time between snapshots taking into account the local out-of-plane motion, continuum deformation due to in-plane velocity gradient and acceleration errors. The performance of the pyramid correlation algorithm is assessed on a synthetically generated image sequence reproducing a three-dimensional Batchelor vortex; experiments conducted in air and water flows are used to assess the performance on time-resolved PIV image sequences. The numerical assessment demonstrates the effectiveness of the pyramid correlation technique in reducing both random and bias errors by a factor 3 and one order of magnitude, respectively. The experimental assessment yields a significant increase of signal strength indicating enhanced measurement robustness. Moreover, the amplitude of noisy fluctuations is considerably attenuated and higher precision is obtained for the evaluation of time-resolved velocity and acceleration.     

Phase correlation processing for DPIV measurements

A novel digital particle image velocimetry (DPIV) correlation method is presented, the Gaussian transformed phase correlation (GTPC) estimator, using nonlinear filtering techniques coupled with the phase-transform (PHAT) generalized cross-correlation filter. The use of spatial windowing is shown to be ideally suited for the use of phase correlation estimators, due to their invariance to the loss of correlation effects. Error analysis demonstrates the increased valid vector detection and measurement accuracy of the windowed GTPC over the traditional Fourier based estimator in a series of uniform displacement Monte Carlo simulations. Analysis of the GTPC performance in the PIV standard image sets shows error reductions on the order of 15–45% over the range of simulations. Experimental DPIV images from a turbulent rib roughened channel flow are used to validate the use of the GTPC, which shows a strong reduction in peak locking effects, background noise errors, and erroneous vectors. Together, these results demonstrate the coupled benefits provided by the use of advanced filtering techniques applied to the phase correlation estimator. With the correct implementation of these filters, the GTPC is able to provide substantial improvements to the robustness of DPIV estimation.     

基于集合经验模态分解-小波阈值方法的爆破振动信号降噪方法

为了更好地消除混杂在爆破信号中的噪声,引入一种基于集合经验模态分解和小波阈值共同作用的降噪方法。首先将信号进行集合经验模态分解,然后选择含噪的模态函数分量进行小波阈值降噪处理,最后把处理后的分量和未处理的分量进行叠加,重构的信号即为降噪信号。该方法不仅能有效的去除噪声,还能使爆破波形保留其真实性和完整性。