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Simultaneous Measurement of Turbulence and Particle Kinematics Using Flow Imaging Techniques
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Spectral analysis and cross-correlation techniques for photon counting measurements on fluid flows.

T S Durrani, C A Greated

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    Conventional Fourier methods can introduce errors in laser Doppler velocimetry (LDV) measurements of turbulent fluid flows. This study presents two novel photon counting techniques that accurately measure turbulence levels in air flow.

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    Area of Science:

    • Fluid dynamics
    • Optical measurement techniques

    Background:

    • Photon counting techniques are employed for measuring turbulent fluid flows.
    • Conventional Fourier methods applied to Laser Doppler Velocimetry (LDV) count correlation records can lead to significant errors when transforming data to the frequency domain.

    Purpose of the Study:

    • To analyze errors in photon counting techniques for turbulent flow measurement.
    • To present and validate alternative schemes for accurate frequency domain transformation of count correlation records.

    Main Methods:

    • Utilizing high-resolution spectral techniques to transform count autocorrelation records.
    • Employing count cross-correlation between signals from two detectors.
    • Conducting theoretical analysis of the count cross-correlation process.

    Main Results:

    • Demonstrated that conventional Fourier methods can cause considerable errors in LDV measurements.
    • Two alternative methods (high-resolution spectral techniques and count cross-correlation) were presented to overcome these errors.
    • Experimental results in air flow showed close agreement between the turbulence levels predicted by the two new methods.

    Conclusions:

    • The developed photon counting techniques provide accurate measurements of turbulent fluid flows.
    • Alternative spectral and cross-correlation methods are superior to conventional Fourier methods for LDV data analysis in turbulent flows.