A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling
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 th...
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Language: | English |
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Wiley
2013-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/747531 |
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author | Shiyi Yin Bin Li |
author_facet | Shiyi Yin Bin Li |
author_sort | Shiyi Yin |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-6ea46bebd81447969e38bbaa82d87ac6 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-6ea46bebd81447969e38bbaa82d87ac62025-02-03T05:57:34ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/747531747531A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network ModelingShiyi Yin0Bin Li1School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, ChinaSchool of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, ChinaThe 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.http://dx.doi.org/10.1155/2013/747531 |
spellingShingle | Shiyi Yin Bin Li A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling Journal of Applied Mathematics |
title | A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling |
title_full | A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling |
title_fullStr | A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling |
title_full_unstemmed | A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling |
title_short | A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling |
title_sort | new approach for solving weight functions of electromagnetic flowmeters using resistive network modeling |
url | http://dx.doi.org/10.1155/2013/747531 |
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