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Journal of Applied Mathematics
Volume 2013, Article ID 747531, 7 pages
Research Article

A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling

School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China

Received 22 February 2013; Accepted 17 June 2013

Academic Editor: Oluwole Daniel Makinde

Copyright © 2013 Shiyi Yin and Bin Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.