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Institute of Korean Electrical and Electronics Engineers (한국전기전자학회)
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Interfacial Boundary Estimation in Stratified Flow of Two Immiscible Liquids Using Hybrid-type Fourier Series

  • Kim, Bong Seok (BK21+ Clean Energy Convergence and Integration Center for Human Resources Training and Education, Jeju National University) ;
  • Choi, Bong-Yeol (Graduate School of Electronics Engineering, Kyungpook National University) ;
  • Kim, Kyung Youn (Department of Electronic Engineering, Jeju National University)
  • Received : 2014.11.07
  • Accepted : 2014.11.21
  • Published : 2014.12.31
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Abstract

In stratified flows of two immiscible liquids, due to the vibration in a pipe, the shape of the interface is not always periodic and it causes the different end points of the interfacial boundary. In this case the performance is not good. To solve this, in this paper, the hybrid-type Fourier series is proposed, which consists of both the polynomial and the trigonometric terms. Under the stationary interfacial boundary during acquiring a full set of voltage data, the performance of the proposed method is evaluated through the numerical experiments. The results show that the proposed method performs better than the conventional Fourier series in estimating the interfacial boundary.

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References

  1. Y. V. Fairuzov, "Numerical simulation of transient flow of two immiscible liquids in pipeline", AIChE Journal, Vol.46, pp.1332-1339, 2000 https://doi.org/10.1002/aic.690460707
  2. D. K. Han, and A. Prosperetti, "A shape decomposition technique in electrical impedance tomography", Journal of Computational Physics, Vol.155, pp.75-95, 1999 https://doi.org/10.1006/jcph.1999.6330
  3. V. Kolehmainen, S. R. Arridge, W. R. B. Lionheart, M. Vauhkonen, and J. P. Kaipio, "Recovery of region boundaries of piecewise constant coefficients of elliptic PDE from boundary data", Inverse Problems, Vol.15, pp.1375-1391, 1999 https://doi.org/10.1088/0266-5611/15/5/318
  4. M. C. Kim, S. Kim, K. Y. Kim, K. H. Seo, H. J. Jeon, J. H. Kim, and B. Y. Choi, "Estimation of phase boundary by front points method in electrical impedance tomography", Inverse Problems in Science and Engineering, Vol.14, pp.455-466, 2006 https://doi.org/10.1080/17415970600573569
  5. J. E. Butler, and R. T. Bonnecaze, "Inverse method for imaging a free surface using electrical impedance tomography", Chemical Engineering Science, Vol.55, pp.1193-1204, 2000 https://doi.org/10.1016/S0009-2509(99)00410-8
  6. O. P. Tossavainen, M. Vauhkonen, L. M. Heikkinen, and T. Savolainen, "Estimating shape and free surfaces with electrical impedance tomography", Measurement Science and Technology, Vol.15, pp.1402-1411, 2004 https://doi.org/10.1088/0957-0233/15/7/024
  7. O. P. Tossavainen, V. Kolehmainen, and M. Vauhkonen, "Free-surface and admittivity estimation in electrical impedance tomography", International Journal for Numerical Methods in Engineering, Vol.66, pp.1991-2013, 2006 https://doi.org/10.1002/nme.1603
  8. S. Kim, U. Z. Ijaz, A. K. Khambampati, K. Y. Kim, M. C. Kim, and S. I. Chung, "Moving interfacial boundary estimation in stratified flow of two immiscible liquids using electrical resistance tomography", Measurement Science and Technology, Vol.18, pp.1257-1269, 2007 https://doi.org/10.1088/0957-0233/18/5/012
  9. B. S. Kim, C. Y. Kim, A. K. Khambampati, A. Rashid, S. Kim, and K. Y. Kim, "Time-varying interfacial boundary estimation using hybrid fourier series in electrical resistance tomography", 6th World Congress on Industrial Process Tomography, Beijing, China, 6-9 Sept, 2010
  10. L. N. Trefethen, and D. Bau, Numerical Linear Algebra, SIAM, 1997
  11. P. J. Vauhkonen, Image reconstruction in three-dimensional electrical impedance tomography, PhD Thesis, University of Kuopio, Finland, 2004