Laser Doppler Anemometry

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The purposes of this experiment are:

1. To determine the shape of the wake behind the cylinder.

2. To determine the water tunnel calibration.

Both of these objectives were accomplished by using LDA (Laser Doppler Anemometry). LDA is one of the main velocity measurement methods used in professional experimentation. Light beams are shot from a laser onto flowing water. In objective one, a cylinder was submersed in the water flow to determine how the velocity aft of the cylinder was disturbed. While the second objective used the LDA on flowing water with no disturbances.

This LDA system is an accurate system. However, every system has some kinks that are sources of error in the given results. Particle averaging bias is the first of these errors. This bias states that when the velocity is high the mean flow velocity well be larger than the actual value. This occurs because more particles’ velocities are being calculated than in a slower flow. Another source of error is called velocity gradient broadening. This error comes from the fact that two particles on different positions in the gradient will have different velocities but end up in the same measured volume. This will of course give a velocity variance where there should not be one. Lastly, there is an error called finite transit time broadening. This error occurs because the LDA system collects data using signal bursts, which will see fluctuations every burst even though the flow velocity is constant. Even though, these three errors and more are observed when using an LDA system, it is still one of the most accurate systems that is used to calculate flow velocity.

The first objective was examined by taking a series of data points with the laser configured to measure flow vel...

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... this experiment, the shape of the wake behind the cylinder was determined and the water tunnel was calibrated. The conclusions are listed below:

1. The horizontal flow velocities show that a wake is formed aft of the cylinder as expected.

2. The vertical flow velocities show that the flow is attempting to push the wake in, from both the top and bottom of the wake, and restore the water to its original state of steady flow.

3. If using this particular system and no flow velocities are being calculated by the system, move the laser slightly in any direction to obtain values.

4. Flow velocity versus the pump speed yields a linear graph with a R2 value of 0.99824 ± 0.00001.

5. If the pump speed is double, the flow velocity will also be doubled. Thus, ease of future experimentation.

6. The water tunnel is calibrated well and can be used as an accurate test bed.

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