Interfacial Boundary Estimation in Stratified Flow of Two Immiscible Liquids Using Hybrid-type Fourier Series
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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.
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.
참고문헌 (11)
- Y. V. Fairuzov, "Numerical simulation of transient flow of two immiscible liquids in pipeline", AIChE Journal, 46, pp.1332~1339 (2000)
- D. K. Han, "A shape decomposition technique in electrical impedance tomography", Journal of Computational Physics, 155, pp.75~95 (1999)
- V. Kolehmainen, "Recovery of region boundaries of piecewise constant coefficients of elliptic PDE from boundary data", Inverse Problems, 15, pp.1375~1391 (1999)
- M. C. Kim, "Estimation of phase boundary by front points method in electrical impedance tomography", Inverse Problems in Science and Engineering, 14, pp.455~466 (2006)
- J. E. Butler, "Inverse method for imaging a free surface using electrical impedance tomography", Chemical Engineering Science, 55, pp.1193~1204 (2000)
- O. P. Tossavainen, "Estimating shape and free surfaces with electrical impedance tomography", Measurement Science and Technology, 15, pp.1402~1411 (2004)
- O. P. Tossavainen, "Free-surface and admittivity estimation in electrical impedance tomography", International Journal for Numerical Methods in Engineering, 66, pp.1991~2013 (2006)
- S. Kim, "Moving interfacial boundary estimation in stratified flow of two immiscible liquids using electrical resistance tomography", Measurement Science and Technology, 18, pp.1257~1269 (2007)
- B. S. Kim, "Time-varying interfacial boundary estimation using hybrid fourier series in electrical resistance tomography", 6th World Congress on Industrial Process Tomography (2010)
- L. N. Trefethen, "Numerical Linear Algebra" (1997), SIAM
- P. J. Vauhkonen, "Image reconstruction in three-dimensional electrical impedance tomography", 박사, pp.2004