Here, C is the tracer particle concentration light sheet thickness image magnification, particle image diameter [m] and is the interrogation spot
diameter [m]. The source density represents the type of image that is recorded. A source
density larger than unity means that the image is a speckle pattern and when the source
density is less than unity, the image consists of individual particle images. The image
density represents the mean number of particle images in an interrogation region. It
should larger than 10-15 for a good PIV measurement.
The optimal pulse separation between two images is influenced by a number of
parameters. Two main types of error affect the choice of pulse separation () very much.
These are random error and acceleration error. Random error arises from noise during
recording of images and subsequent interrogation of the particle images. Acceleration
error arises from approximation of Lagrangian motion of tracer particle to local Eulerian
velocity based on small particle displacement. These two kinds of errors contradict the
selection of pulse separation. The random error contribution can be reduced by increasing
but acceleration error increases as increases. At some intermediate value of , the
total error should be a minimum. The optimum separation can be derived by considering
these two errors as
|