Time-resolved, 3D, laser-induced fluorescence measurements of fine-structure passive scalar mixing in a tubular reactor |
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Authors: | E. Van Vliet S. M. Van Bergen J. J. Derksen L. M. Portela H. E. A. Van den Akker |
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Affiliation: | (1) Kramers Laboratorium voor Fysische Technologie, Faculty of Applied Sciences, Delft University of Technology, Prins Bernhardlaan 6, 2628 BW Delft, The Netherlands |
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Abstract: | A three-dimensional, time-resolved, laser-induced fluorescence (3D-LIF) technique was developed to measure the turbulent (liquid-liquid) mixing of a conserved passive scalar in the wake of an injector inserted perpendicularly into a tubular reactor withRe=4,000. In this technique, a horizontal laser sheet was traversed in its normal direction through the measurement section. Three-dimensional scalar fields were reconstructed from the 2D images captured at consecutive, closely spaced levels by means of a high-speed CCD camera. The ultimate goal of the measurements was to assess the downstream development of the 3D scalar fields (in terms of the full scalar gradient vector field and its associated scalar energy dissipation rate) in an industrial flow with significant advection velocity. As a result of this advection velocity, the measured 3D scalar field is artificially skewed during a scan period. A method to correct for this skewing was developed, tested and applied. Analysis of the results show consistent physical behaviour.List of symbols A Deformation tensor - Dt,Df Reactor and injector diameter - Lx,Ly,Lz Dimensions of the 3D-LIF measurement volume - Nx,Ny,Nz Number of data samples per measurement volume - Rem Reynolds number based on mean velocity - Sc Schmidt number - f Focal length - fc,lens, fc,array Cut-off frequency for camera lens and sensor array - f,f Marginal probability density function for and - f Joint probability density function of and - Temporal separation of the 2D data planes - Temporal resolution of the measurement volume - Spatial resolution of the measurement volume - , Deformation angle and deformation, where =tan - Fluid energy dissipation rate - , Strain limited vorticity and scalar diffusion layers - Scalar concentration - ,B Kolmogorov and Batchelor length scale - , Spherical angles of the scalar gradient vector, - Kinematic viscosity - e–2 Half-thickness (1/e2) of the laser sheet - ,a Kolmogorov and Kolmogorov advection time scales - Scalar energy dissipation rate - Scalar diffusivity - 2D, 3D Two- and three-dimensional - DNS Direct numerical simulation - LIF Laser-induced fluorescence - SED Scalar energy dissipation rate - TR Tubular reactor
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