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BSA Flow Software Installation and User's Guide - CSI

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7.2 Theory of Phase Doppler Anemometry<br />

7.2.1 Basic principles of phase Doppler anemometry<br />

Phase Doppler anemometry (PDA), which is used in Dantec’s conventional<br />

PDA <strong>and</strong> DualPDA systems, is an extension of Laser Doppler Anemometry<br />

(LDA, see chapter 7.1).<br />

This extension to conventional Phase Doppler Anemometry <strong>and</strong> further to<br />

the concept of the DualPDA is discussed in this chapter.<br />

In the LDA system (see chapter 7.1) there was only one photo-detector. If<br />

we consider the situation in Figure 7-14, we see two photo-detectors<br />

receiving light scattered from the surface of a reflecting spherical particle<br />

similar to that we observe in LDA<br />

The point to note here is that the difference in optical path length for the<br />

reflections from the two incident beams changes with the position of the<br />

photo-detector. This means that, when the particle passes through the<br />

measuring volume, both photo-detectors receive a Doppler burst of the same<br />

frequency, but the phases of the two bursts vary with the angular position of<br />

the detectors.<br />

This phenomenon was first utilized as an indication of the size of a particle<br />

by Durst & Zaré, who presented their paper Laser Doppler Measurements in<br />

Two-Phase <strong>Flow</strong>s in 1975.<br />

Again it is convenient to introduce the fringe model as a first order of<br />

approximation.<br />

Figure 7-14 The interference patterns differ at the two photo-detector surfaces<br />

Figure 7-15 illustrates the intensity fluctuation in each of the photodetectors<br />

<strong>and</strong> the time lag, ∆t, separating the wave fronts reaching the two photodetectors.<br />

The corresponding phase difference would be:<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Reference guide 7-21

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