## A new approach for solving weight functions of electromagnetic flowmeters using resistive network modeling.(English)Zbl 1271.78034

Summary: The contribution of the flow signal is generally addressed by the weight function in the researches of the electromagnetic flowmeters, and various mathematical technologies were concentrated on the methodologies for solving the value of the weight function. However, it is still difficult to avoid the abstruse mathematical theories and the complex calculation when the solution domain is irregular in shape. This paper treats the problem within the intuitive physical perspective, and the approach, in which the proportion of the current is considered as the substitute for the weight function with the hypothetic current excitation source, is presented. A simple mathematical modeling of the current is built by means of the resistive network without the redundant assumption, and the strict mathematical derivation for the conventional asymmetric flow in the circular flowmeter is made to verify the feasibility and the correctness of the approach. The distributions of the weight function in various situations are obtained with the simulation employed, using the resistive network modeling, and the advantages of the approach are discussed.

### MSC:

 78A45 Diffraction, scattering
Full Text:

### References:

  J. A. Shercliff, The Theory of Electromagnetic Flow-Measurement, Cambridge university press, London, UK, 1962. · Zbl 0117.43302  M. K. Bevir, “The theory of induced voltage electromagnetic flowmeter,” Journal of Fluid Mechanics, vol. 43, pp. 577-590, 1970.  C. C. Smyth, “Derivation of weight functions for the circular and rectangular channel magnetic flowmeters, by means of Green’s theorem and conformal mapping,” Journal of Physics E, vol. 4, no. 1, pp. 29-34, 1971.  V. T. O’Sullivan and D. G. Wyatt, “Computation of electromagnetic flowmeter characteristics from magnetic field data. III. Rectilinear weight functions,” Journal of Physics D, vol. 16, no. 8, pp. 1461-1476, 1983.  J. Hemp and H. K. Versteeg, “Prediction of electromagnetic flowmeter characteristics,” Journal of Physics D, vol. 19, no. 8, pp. 1459-1476, 1986.  Z. X. Zhang, “A method for solving Laplace’s equation with mixed boundary condition in electro magnetic flow meters,” Journal of Physics D, vol. 20, pp. 573-576, 1989.  L. Hu, J. Zou, X. Fu, H. Y. Yang, X. D. Ruan, and C. Y. Wang, “Divisionally analytical solutions of Laplace’s equations for dry calibration of electromagnetic velocity probes,” Applied Mathematical Modelling, vol. 33, no. 7, pp. 3130-3150, 2009. · Zbl 1205.78040  J. A. Shercliff, “Relation between the velocity profile and the sensitivity of electromagnetic flowmeters,” Journal of Applied Physics, vol. 25, no. 6, pp. 817-818, 1954.  X.-Z. Zhang, “The virtual current of an electromagnetic flow meter in partially filled pipes,” Measurement Science and Technology, vol. 9, no. 11, pp. 1852-1855, 1998.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.