In order to evaluate the correlation correctly with a single pass, the correlation function
must be small with respect to the displacement correlation peak. This is accomplished
when the following requirements are fulfilled:
1. There should be at least 7-10 particle image pairs in each interrogation spot.
2. The in-plane displacement should be limited to 1/4 of the size of the interrogation
region.
3. The out-of-plane displacement should be limited to 1/4 of the thickness of the light
sheet.
4. The displacement difference over the interrogation volume should be less than 3-5%
of the size of the interrogation region.
Recording of the particle images
Besides particle dynamics, the registration, storage and read-out of the individual particle
images are other key elements in PIV. This is because the accuracy of the technique
is strongly depends upon the precision with which the image displacement can be related
to particle locations and their respective particle displacements. The continuous
intensity distribution of the particle image is transformed into a discrete signal of limited
bandwidth. When the discretization of the image signal matches the minimum sampling
rate, the frequency contents of the original signal, and thus the particle location as well,
can be reconstructed without any losses. According to the well-known Nyquist criterion
of signal processing, the bandwidth limited signal can be perfectly reconstructed from
its discrete samples when the sampling rate of the signal is at least twice the signal
bandwidth.
|