Computed tomographic X-ray velocimetry for simultaneous 3D measurement of velocity and geometry in opaque vessels
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Computed tomographic X-ray velocimetry has been developed for simultaneous three-dimensional measurement of flow and vessel geometry. The technique uses cross-correlation functions calculated from X-ray projection image pairs acquired at multiple viewing angles to tomographically reconstruct the flow through opaque objects with high resolution. The reconstruction is performed using an iterative, least squares approach. The simultaneous measurement of the object’s structure is performed with a limited projection tomography method. An extensive parametric study using Monte Carlo simulation reveals accurate measurements with as few as 3 projection angles, and a minimum required scan angle of only 30°. When using a single/source detector system, the technique is limited to measurement of periodic or steady flow fields; however, with the use of a multiple source/detector system, instantaneous measurement will be possible. Synchrotron experiments are conducted to demonstrate the simultaneous measurement of structure and flow in a complex geometry with strong three-dimensionality. The technique will find applications in biological flow measurement, and also in engineering applications where optical access is limited, such as in mineral processing.
KeywordsRoot Mean Square Error Particle Image Velocimetry Seeding Density Tomographic Reconstruction Particle Tracking Velocimetry
The authors gratefully acknowledge the support of the Japan Synchrotron Radiation Research Institute (JASRI) under Proposal Nos. 2009A0022 and 2009A1882. The authors would like to thank Prof. Naoto Yagi and Dr. Kentaro Uesugi of SPring-8/JASRI for their assistance with the experiments. Support from the Australian Research Council (Grant Nos. DP0877327, DP0987643) is also gratefully acknowledged.
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