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Focused laser differential interferometry post-processing methodology for flowfields with circular symmetry.

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    This study presents a method to reconstruct blast wave pressure using Focused Laser Differential Interferometry (FLDI). Minimizing the differentiation distance in FLDI enhances the accuracy of pressure waveform reconstruction for flowfields.

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    Area of Science:

    • Fluid dynamics
    • Optical diagnostics
    • Wave propagation

    Background:

    • Accurate measurement of transient pressure waveforms in flowfields is crucial for understanding phenomena like blast waves.
    • Focused Laser Differential Interferometry (FLDI) offers a non-intrusive method for flowfield analysis.
    • Reconstructing pressure waveforms from FLDI phase shift data requires robust analytical methodologies.

    Purpose of the Study:

    • To develop and validate an analytical methodology for reconstructing pressure waveforms in circularly symmetric flowfields using FLDI.
    • To investigate the influence of FLDI focal separation distance on the accuracy of pressure waveform reconstruction.
    • To compare experimental FLDI data with theoretical N-wave correlations and computational fluid dynamics (CFD) simulations.

    Main Methods:

    • Utilized Focused Laser Differential Interferometry (FLDI) to detect phase shifts in a spark-generated blast wave.
    • Employed varying focal separation distances (Δx) of 76, 120, 175, and 252 μm.
    • Validated reconstructed pressure data against surface pressure sensor measurements and theoretical N-wave models.
    • Performed computational FLDI simulations to scrutinize reconstruction hypotheses.

    Main Results:

    • Reconstructed pressure waveforms showed good agreement with reference measurements for smaller FLDI separation distances.
    • Comparison with theoretical N-wave correlations confirmed the validity of the approach, with minor discrepancies at larger Δx.
    • Computational FLDI revealed discrepancies at intermediate Δx but excellent agreement at the smallest Δx.
    • Optimal FLDI Δx was determined to be ≤20% of the characteristic flowfield length.

    Conclusions:

    • The proposed analytical methodology for pressure waveform reconstruction using FLDI is validated.
    • Minimizing the FLDI differentiation distance (Δx) is critical for achieving accurate results.
    • The study provides guidelines for selecting appropriate FLDI parameters for flowfield analysis.