Abstract
A novel finite element procedure for the solution of the electromagnetic flow meter weight function is presented. The weight function represents the relative contribution of the location at flow cross section to the output signal of the flow meter. This paper treats the problem as the intuitive the approach, in which the distribution of the virtual current density is considered as the substitute for the weight function with the hypothetic current excitation source, is presented. First, a numerical simulation model was constructed with COMSOL Multiphysics. Next, a study was undertaken to compare the numerical simulation model with Shercliff’s analytical solution for the weight function. The finite element methodology was found to be correct for solving the weight function. The methodology presented in this paper represents the first stage in the development of an image reconstruction technique which could be used to obtain the liquid velocity profile of Multiphase flows.
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References
M. Wang, Impedance mapping of particulate multiphase flows. Flow Meas. Instr., 16 (2) (2005) 183–189.
T. Dyakowski, Process tomography applied to multi-phase flow measurement. Meas. Sci. Technol., 7 (3) (1996) 343.
H. S. Tapp, A. J. Peyton, A state of the art review of electromagnetic tomography, Proceedings of the 3rd world congress on industrial process yomography, Canada, 2–5 Sept. (2003) 340–346.
I. Ismail, J. C. Gamio, S. F. A. Bukhari et al., Tomography for multi-phase flow measurement in the oil industry, Flow Meas. Instr., 16 (2) (2005) 145–155.
M. He, Z. Liu, X. Y. Xu et al., Application of perturbation methods to image reconstruction in electromagnetic tomography, Flow Meas. Instr., 16 (2) (2005) 205–210.
A. J. Peyton, Z. Z. Yu, G. Lyon et al., An overview of electromagnetic inductance tomography: description of three different systems, Meas. Sci. Technol., 7 (3) (1996) 261.
F. Dong, Y. B. Xu, L. J. Xu et al., Application of dual-plane ERT system and cross-correlation technique to measure gas–liquid flows in vertical upward pipe, Flow Meas. Instr., 16 (2) (2005) 191–197.
G. P. Lucas, J. Cory, R. C. Waterfall et al., Measurement of the solids volume fraction and velocity distributions in solids–liquid flows using dual-plane electrical resistance tomography, Flow Meas. Instr., 10 (4) (1999) 249–258.
J. A. Shercliff, The theory of electromagnetic flow-measurement. Cambridge University Press, Cambridge, (1962).
Z. Xiaozhang, Alternating iteration method for solving the Laplace equation. J. Tsinghua Univ. (Sci. Technol.), 12 (2002) 006.
COMSOL Corporation, Femlab 3.2 User’s Guide, (2005) http://www.comsol.com.
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Li, X. A Novel Numerical Approach for Solving Weight Function of Electromagnetic Flow Meter. MAPAN 30, 59–64 (2015). https://doi.org/10.1007/s12647-014-0120-2
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DOI: https://doi.org/10.1007/s12647-014-0120-2