Single Pixel Evaluation of Microchannel Flows

Author(s):  
Steve Wereley ◽  
Carl Meinhart ◽  
Lichuan Gui ◽  
Derek Tretheway ◽  
Arjun Sud

Recently a new μPIV interrogation algorithm has been proposed in which the interrogation window size is reduced to a single pixel. Such small interrogation window sizes are possible using correlation averaging to increase the effective particle concentration to levels required for correlation analysis to succeed. The random error exhibits the expected behavior of decreasing roughly in proportion to N−1/2 while the bias error exhibits unexpected peak-locking behavior with zero bias error at integer and half integer pixel displacements and maximal errors at one-quarter and three-quarter pixel displacements. Accompanying experiments show the potential of this technique but have not yet been sufficiently refined to confirm this unexpected bias error behavior.

Author(s):  
Steven Beresh ◽  
Russell Spillers ◽  
Melissa Soehnel ◽  
Seth Spitzer

The effective frequency limits of postage-stamp PIV, in which a pulse-burst laser and very small fields of view combine to achieve high repetition rates, have been extended by increasing the PIV acquisition rate to very nearly MHz rates (990 kHz) by using a faster camera. Charge leaked through the camera shift register at these framing rates but this was shown not to bias the measurements. The increased framing rate provided oversampled data and enabled use of multi-frame correlation algorithms for a lower noise floor, increasing the effective frequency response to 240 kHz where the interrogation window size begins to spatially filter the data. The velocity spectra suggest turbulence power-law scaling in the inertial subrange steeper than the theoretical -5/3 scaling, attributed to an absence of isotropy.


2006 ◽  
Vol 799 (1-3) ◽  
pp. 28-33 ◽  
Author(s):  
Hideyuki Shinzawa ◽  
Shigeaki Morita ◽  
Isao Noda ◽  
Yukihiro Ozaki

Author(s):  
Richard S. Skifton ◽  
Ralph S. Budwig

The particles utilized in particle image velocimetry (PIV) form a biased dispersion near interfaces that, in turn, lead to biased velocity measurements. This lack of seeding in the high shear region of the flow always biases the velocity measurement high as the particles are, on average, towards the far end of an interrogation window (IW) — opposite of the wall. By observing the ensemble-averaged IW particle-dispersion centroid as the corrected measurement location against the industry standard of the geometric center of the IW, this paper puts forth a methodology to correct for the biased error in flow measurements very near the wall. A typical correction to the reported velocity measurement location within a wall layer flow was seen to be approximately 75% from the geometric center to the edge of an IW. This methodology can easily be implemented in any PIV code with the express purpose of removing a source of bias error that forms by reporting measurements at the geometric center of an IW.


1980 ◽  
Vol 34 (3) ◽  
pp. 265-276 ◽  
Author(s):  
K. P. Schwarz

To combine the results obtained from inertial surveying systems with other geodetic data the complete error covariance matrix for the derived positions is required. This matrix is not available from the standard output. It is shown how the covariances at each station can be obtained from the system of differential equations that governs the error propagation and how filtering and smoothing procedures effect the error estimates. The covariances between stations on the same traverse are then derived and the formulas are used to compute the correlation matrix for a test traverse near Ottawa, Ontario. The correlations are large for standard zero update periods and they increase with time. The results are checked by performing a correlation analysis on actual data along the same traverse. Correlations are even larger in this case, indicating an almost deterministic error behavior for the individual traverse.


2008 ◽  
Vol 25 (7) ◽  
pp. 1208-1217 ◽  
Author(s):  
J. D. Stark ◽  
C. Donlon ◽  
A. O’Carroll ◽  
G. Corlett

Abstract Sea surface temperature (SST) analyses are produced on a daily basis at the Met Office using the Operational SST and Sea Ice Analysis (OSTIA) system. OSTIA uses satellite SST data, provided by international agencies via the Global Ocean Data Assimilation Experiment (GODAE) High-Resolution SST Pilot Project (GHRSST-PP) regional/global task sharing (R/GTS) framework, which includes an estimate of bias error (available online at http://www.ghrsst-pp.org). The OSTIA system produces a foundation SST estimate (SSTfnd), which is the SST that is free of diurnal variability, at a resolution of 1/20° (∼6 km). Global coverage outputs are provided each day in GHRSST-PP L4 netCDF format. The verification and intercomparison of the OSTIA analysis, with observations and analyses, has revealed a cold bias of approximately 0.1 K in the OSTIA outputs. Because OSTIA uses the operational 1-km Envisat Advanced Along-Track Scanning Radiometer (AATSR) ATS_NR_2P data [via the GHRSST-PP/European Space Agency (ESA) Medspiration Project, available online at http://www.medspiration.org] as a reference dataset for bias adjustment of other satellite data, the AATSR data were identified as the likely cause of the observed bias. To test this, a series of experiments were carried out in June 2006 using the Medspiration AATSR observations in which the Single Sensor Error Statistics (SSES) bias estimate was assigned fixed magnitudes of 0.0, 0.05, 0.15, and 0.2 K. The authors find that the AATSR data have approximately zero bias relative to in situ buoys. Because AATSR measures the SST skin temperature (SSTskin) and was given a mean global SSTskin deviation of −0.17 K (based on in situ radiometer data), this result suggests that ATS_NR_2P SSTskin data have a warm bias of 0.17 K. Using a matchup database of near-contemporaneous 10 arc min AATSR and in situ data, the authors find that the AATSR SSTskin dual- and triple-window retrievals have a warm bias of 0.14 and 0.17 K, respectively, between August 2002 and July 2006. The results of the experiments confirm that the current Medspiration SSES bias correction provided with the Medspiration AATSR L2P observations is poorly specified. The database was not configured to test the relationship between the cloud proximity confidence value and the AATSR bias error. Based on the matchup database and reanalysis results, the authors suggest that Medspiration be modified to use an SSES bias estimate of 0.17 K for all category 2–6 proximity confidence values for the current AATSR dual-view SST ATS_NR_2P products to provide a correct SSTskin estimate. In response to the results presented in this study, operational changes have been made to the Medspiration processing, which improve the bias estimates provided in the AATSR data. The authors suggest that a concerted effort be invested to develop the most appropriate SSES for the AATSR class of sensors that have specific characteristics that must be included in the SSES estimation scheme. The main elements of such a scheme are presented in this paper.


2014 ◽  
Vol 602-605 ◽  
pp. 1654-1659 ◽  
Author(s):  
Ling Fu Kong ◽  
Wei Hang Kong ◽  
Ying Wei Li ◽  
Cong Zhang ◽  
Sheng Xu Du

In this paper, an improved PIV algorithm is proposed for the velocity field of oil-water two-phase dispersed flow in horizontal pipe. In the proposed PIV algorithm, interrogation windows are overlapped by 50% in all iterations other than just overlapped in the final iteration. And what’s still different is that the interrogation window can also be a rectangular window just as [64 64; 64 64; 32 32; 32 32; 32 16;]. What’s more, if any element of the final interrogation window is different from the penultimate iteration, there is going to be another interrogation with the last interrogation window size, which can reduce the false vectors. Experimental results show that velocity measurements of oil-water two-phase flow can be realized by this advanced PIV algorithm with high accuracy. At the same time, it provides the basis for further studying the application of PIV in velocity measurements of oil-water two-phase flow.


Author(s):  
Nazmus Sakib ◽  
Alexander Mychkovsky ◽  
James Wiswall ◽  
Randy Samaroo ◽  
Barton Smith

The pressure field of an impinging synthetic jet has been computed from time-resolved, three-dimensional, three-component (3D-3C) particle image velocimetry (PIV) velocity field data using a Poisson equationbased pressure solver. The pressure solver used in this work can take advantage of the temporal derivative of the pressure to enhance the temporal coherence of the calculated pressure field for time-resolved velocity data. The reconstructed pressure field shows sensitivity to the implementation of the boundary conditions, as well as to the spatial and temporal resolution of the PIV data. The pressure from a 3D Poisson solver that does not consider the temporal derivative of the pressure shows high random error. Invoking the temporal derivative of the pressure eliminates this high-frequency noise, however, the calculated pressure exhibits an unphysical temporal drift. This temporal drift is affected by both the temporal resolution of the PIV data and the spatial resolution of the PIV vector field, which was systematically evaluated by downsampling the instantaneous data and increasing the interrogation window size. It was observed that decreasing the temporal resolution increased the drift, while decreasing the spatial resolution decreased the drift.


Author(s):  
Sagar Adatrao ◽  
Andrea Sciacchitano ◽  
Simone van der Velden ◽  
Mark-Jan van der Meulen ◽  
Marc Cruellas Bordes

A statistical tool called Design of Experiments (DOE) is introduced for uncertainty quantification in particle image velocimetry (PIV). DOE allows to quantify the total uncertainty as well as the systematic uncertainties arising from various experimental factors. The approach is based on measuring a quantity (e.g. time-averaged velocity from PIV) several times by varying the levels of the experimental factors which are known to affect the value of the measured quantity. In this way, using Analysis of Variances (ANOVA), the total variance in the measured quantity can be computed and hence the total uncertainty. Moreover, the analysis provides the individual variances for each of the experimental factors leading to the estimation of the systematic uncertainties from each factor and their contribution to the total uncertainty. The methodology is assessed for an experimental test case of the flow at the outlet of a ducted Boundary Layer Ingesting (BLI) propulsor to quantify the total uncertainty in time-averaged velocity from stereoscopic PIV measurements as well as the constituent systematic uncertainties due to the experimental factors, namely, camera aperture, inter-frame time separation, interrogation window size and stereoscopic camera angle.


Author(s):  
M. Mosleh ◽  
N. D. Atnafu ◽  
J. H. Belk

Dispersed nanoparticles of solid lubricants in sheet metal forming fluids are studied for enhanced lubrication that can lead to improved product surface quality and reduced tool wear. Molybdenum disulfide (MoS2) and hexagonal boron nitride (hBN) nanoparticles of varying size and concentrations have shown marked reduction in wear of steel counterfaces representing the tool and in scoring of titanium sheet surfaces. The most effective particle concentration and size ranges were 0.25–4% and 70–100 nm. The counterface wear was reduced by 50–75% while the friction coefficient only marginally improved.


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