International Journal of Engineering & Technology IJET-IJENS Vol:12 No:04 19
125804-9595-IJET-IJENS © August 2012 IJENS
I J E N S
Abstract— Particle image velocimetry (PIV) is a non-
intrusive, whole-field velocity measurement technique that has
been used since the mid-1980s. The accuracy, flexibility and
versatility offered by PIV systems have made them extremely
valuable tools for flow studies. 3-D stereoscopic PIV is the
package capable of measuring 3-dimensional velocity
components. It involves a very sophisticated routine during
setup, calibration, measurement and data processing phases.
This paper aims to verify the procedures of operation used for
3-D stereoscopic PIV measurements. This is important to
ensure that the best data representation with low associated
uncertainty is obtained. A free-diffuser inlet of rectangular
cross-section, 14.2 cm x 6.2 cm, with known local air velocities
(i.e. measured using pitot-static probe), is presently considered.
The flow is assumed to be fully developed turbulent since
sufficient hydrodynamic entry length, 4.4D
h
Re
1/6
< L
h,turb
<
50D
h
and Reynolds Number, Re>10000 are introduced. Images
that are captured by CCD cameras are interpreted using
Dantec Dynamic software providing 3-dimensional velocity
vectors. The velocities obtained from PIV and pitot-static
probe are compared in order to justify the quality of PIV
measurement. The range of velocity obtained using probe is
2.31 – 2.58 m/s, whereas using PIV is 2.31 – 2.91 m/s. It thus
gives the average discrepancy of 0.8%. Besides, there is also a
close agreement between the air velocities measured by PIV
and theories with average discrepancy of 1.2%. This
discrepancy is mainly due to some uncertainties in the
experiments such as imperfect matching of coordinate between
probe and laser sheet, unsteadiness of flow, variation in density
and less precision in calibration. The operating procedures of
3-D stereoscopic PIV have successfully been verified thus are
justified to be used for future PIV measurement, provided
minor discrepancies are recorded.
Index Term— 3-D stereoscopic particle image velocimetry
(PIV), uncertainty analysis (UA).
I. INTRODUCTION
Particle image velocimetry (PIV) is a non-intrusive whole-
field velocity measurement technique that has been used
Normayati Nordin
Fac. of Mechanical and Manufacturing Eng., Universiti Tun Hussein Onn
Malaysia, 86400 Batu Pahat, Johor, Malaysia
mayati@uthm.edu.my
Safiah Othman
Fac. of Mechanical and Manufacturing Eng., Universiti Tun Hussein Onn
Malaysia, 86400 Batu Pahat, Johor, Malaysia
safiah@uthm.edu.my
Vijay R. Raghavan
OYL R&D Centre Sdn. Bhd., Taman Perindustrian Bukit Rahman Putra, 47000
Sungai Buloh, Selangor, Malaysia
vijay@oyl.com.my
Zainal Ambri Abdul Karim
Department of Mechanical Engineering, Universiti Teknologi PETRONAS,
31750 Tronoh, Perak, Malaysia
ambri@petronas.com.my
since the mid-1980s [1]. In contrast to other conventional
methods such as hot wire anemometry and pitot-static probe,
PIV allows flows to be instantaneously interpreted both
qualitatively and quantitatively.
The application of PIV in research and industry is
widespread, on account of its ease of use and accurate data
representation. 3-D stereoscopic is the recent PIV
application introduced, capable to measure the third velocity
component by means of correlating the 2-D PIV data.
Involving a very sophisticated routine during setup,
calibration, measurement and data processing, 3-D PIV
demands proper judgements towards each procedure taken
[2].
This study is a part of the work to investigate pressure
recovery and flow uniformity in 3-D turning diffuser [3].
The main aim is to verify every procedure taken in running
3-D stereoscopic PIV measurements. Thus, the best data
representation with low associated uncertainties could be
obtained. All the uncertainties due to measurement will be
specified, and further enhancement to the experimental
setup will be made accordingly.
A. Scope and limitation of study
A free-diffuser inlet of rectangular cross-section, 14.2 cm x
6.2 cm, with known five-point local air velocities is
considered. The flow is expected to be fully developed
turbulent as sufficient Re>10000 and
4.4D
h
Re
1/6
<L
h,turb
<50D
h
are introduced. The flow
interpreted using 3-D PIV is compared with the flow
calculated theoretically and the flow measured using pitot-
static probe. Well-run experimental practice shall produce
good results with low associated uncertainties.
III. LITERATURE REVIEW
A. PIV Measurement Principles
Fig. 1 shows the basic principles of PIV measurement. In
PIV, the velocity vectors,
ത
are derived from sub-sections
(i.e. interrogation area, IA) of the target area of the particle-
seeded flow by measuring the particles displacement, x
between two light pulses, t. The principle of PIV
measurement on flow velocity,
ത
is in detail described as
following [2], [4]:
ത
= ܯቀ
∆
∆௧
ቁ + ߜ (1)
where,
ത
= flow velocity (m/s)
M = magnification factor
x= particles displacement (m)
t=time between pulses/ time between two successive
frame images (s)
δU= consolidation of uncertainty factors
Verification of 3-D Stereoscopic PIV Operation
and Procedures
Normayati Nordin , Safiah Othman , Vijay R. Raghavan and Zainal Ambri Abdul Karim