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- W2320969421 abstract "A novel algorithm based on spectral analysis of time-resolved deflectometric measurements is developed to obtain statistics of the local scalar field in non-reacting or reacting turbulent flows. The algorithm has been used to investigate time-averaged axisymmetric jet with statistically stationary turbulence. The paper presents the theoretical framework of the algorithm and its validation using synthetic turbulent scalar data simulating refractive index difference field. Synthetic data are used to generate line-of-sight deflectometric data, which are subsequently used to determine the local distributions of mean and root-mean square (RMS) of refractive index difference, and related turbulence parameters. A comparison of direct and reconstructed profiles shows the promise of the algorithm to determine statistics of the local scalar field from the line-of-sight measurements in turbulent flows. Nomenclature B = autocorelation function for refractive index difference (overhead dot is for the gradient field) d = jet diameter f = frequency in Fourier domain kx, ky = wave numbers or Fourier modes in X and Y direction, respectively l = integral length scale Nx, Ny = number of data points along X or Y direction. P = power spectral density (suffix x for gradient field) r = radial coordinate t = time T = time period for statistical stationarity x, y = transverse and longitudinal co-ordinates X, Y = maximum dimensions along x and y directions. α = shape factor of Gaussian spectral density function considered for data generation. δ = refractive index difference Δ = increment η = the value along y-coordinate µ = represents mean of the quantity indicated in subscript σ = represents the standard deviation of the quantity indicated in subscript. Θ = deflection angle φ = phase angle ξ = the value along x-coordinate" @default.
- W2320969421 created "2016-06-24" @default.
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- W2320969421 date "2009-01-05" @default.
- W2320969421 modified "2023-09-26" @default.
- W2320969421 title "A Spectral Analysis Algorithm to Obtain Scalar Turbulence Data from Deflectometric Measurements" @default.
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- W2320969421 doi "https://doi.org/10.2514/6.2009-73" @default.
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