A new reconstruction method, which is called sampled pattern matching (SPM) method, has been applied to an ill-posed inverse problem of a capacitance-computed tomography for solid air two-phase flow. In pseudo two-phase flow images, the correlation of the reconstructed images by SPM is higher than those by a conventional Newton-Raphson iterative method by 32.5%. Moreover, in solid air two-phase flow images, the deviation between the particles void ratio by experimental capacitance and that by the reconstruction methods is calculated. As a result, the void ratio deviation of SPM reconstructed image is lower than that of NR method by 56.7%. Also, the time-mean correlation between the experimental capacitance and the capacitances from the reconstruction method is calculated. As a result, SPM method improves the correlation by 23.6% as compared with NR method. The accurate reconstruction of SPM results from an inner product calculation between the experimental capacitance and the capacitance from the reconstructed images as an evaluation function.
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