The theory of induced voltage electromagnetic flowmeters

Bevir, M. K.

doi:10.1017/s0022112070002586

Cited by 197 publications

(85 citation statements)

References 5 publications

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“…In a way similar to the above formulation, an integral equation of weighted residuals of the electric potential equation (2) in the finite element V can be described as follows: (11) where the weak formulation is applied to the diffusion term and the electromotive force term, and the shape function of Eq. (9) is used as the weighting functions w. Element-wise discrete equations of the induction equation (5) can be obtained by substituting approximate solution (9) into Eq.…”

Section: Discretization By Finite Element Methodsmentioning

confidence: 99%

“…The governing equations in the pipe are obtained after neglecting the velocity field in Eqs. (1) and (2). On the inner boundary surface between the liquid metal and the pipe, the condition that the magnetic field is continuous is imposed.…”

Section: Governing Equationsmentioning

confidence: 99%

“…Use of a weight function for the estimation of output voltage in a water system was first proposed by Shercliff(l), and in an extension of this idea, Bevir proposed the use of a weight vectorC 2 ). Using a weight function, KuromoriC 3 ) studied EMFs with plural pairs of electrodes.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Numerical Study on Faraday-Type Electromagnetic Flowmeter in Liquid Metal System, (I)

Shimizu

Takeshima

Jimbo

2000

Journal of Nuclear Science and Technology

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To predict the three-dimensional steady-state structure of electromagnetic phenomena in the Faraday-type Electromagnetic Flowmeter (EMF), a numerical simulation method using the Galer kin finite element method has been adopted and formatted as a computer code, FALCON.As the induction equation for the induced magnetic field that is important in a liquid metal system, we have presented B-cf> formulation for the induced magnetic field and the electric potential field and A-cf> formulation for the vector potential field and the electric potential field, and compared the computational efficiency of both formulations. We have selected the B-cf> formulation. The computer simulation of the EMF of the MONJU secondary cooling system has been performed and the calculations have shown a good agreement with the calibration test data. We have investigated qualitatively how far the influence of the end effect extends and the characteristics of the voltage response.Overall, this study has indicated that the present method can be applied to the estimation of the characteristics of an EMF and the design of a new EMF.

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Section: Discretization By Finite Element Methodsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

See 1 more Smart Citation

A Numerical Study on Faraday-Type Electromagnetic Flowmeter in Liquid Metal System, (I)

Shimizu

Takeshima

Jimbo

2000

Journal of Nuclear Science and Technology

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“…Traditional electromagnetic flow meter has insulation pipe or a layer of insulating material in the inner wall of the pipe [4]. Analytical solution of weight function shows value of center is 1, value of circle (except electrodes) is 0.5, the maximum value at electrodes [5].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation and verification of weight function of electromagnetic flow meter with non-insulation surface pipe

Li¹

2016

Proceedings of the 2016 5th International Conference on Advanced Materials and Computer Science

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Abstract. Weight function of electromagnetic flow meter with non-insulation pipe is numerical simulated and verified. Weight function is very important for solution of flow velocity of distribution. In this paper, finite element method (FEM) is used for solving the weight function of this novel electromagnetic flow meter. First of all, numerical simulation model of electromagnetic flow meter with non-insulation surface pipe is built by the Comsol Multiphysics software. Boundary is researched. Secondly, weight values of different kinds of non-insulation pipe electromagnetic flow meters are analysis. These non-insulation pipe electromagnetic flow meters have different conductivity surface pipes and thicknesses. At lastly, induction electromotive force of electrodes is proved in the result of this paper. The result of distribution of virtual current is the same as weight value distribution has been proved under situation of uniform magnetic field. This method can be used in analysis different weight functions in other fields like prolusion of surface pipes and electrode poles of electromagnetic flow meter. It is very meaningful in medical and industrial field.

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“…• Tomografia de Impedância Elétrica (EIT):é baseada sobre medidas padrão (SHERCLIFF, 1962;BEVIR, 1970), descrita pela equação 3.1: …”

Section: Tomografia De Processos Industriaisunclassified

Estudo sobre a viabilidade da tomografia eletromagnética na medição do perfil de velocidades de escoamentos monofásicos em dutos

Figueroa¹

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parte dos requisitos para a obtenção do título de Doutora em Engenharia Mecânica. ORIENTADOR: Prof. Dr. Paulo Seleghim Júnior São Carlos 2005Todas as realizações e conquistas em minha vida são consequências da sabedoria, esforço, incentivo e da fé inabalável que minha mãe tinha em DEUS.A minha mãe, Marinalva Pinheiro ¦, dedico esta tese, pois ela sempre foi a razão de tudo na minha vida. AgradecimentosAgradeço em primeiro lugar a DEUS por sempre estar presente em meu caminho.Ao meu orientador prof. Dr. Paulo Seleghim Jr. pela orientação, paciência e, por estar sempre disposto a ajudar com sua sabedoria e experiência.A minha mãe Marinalva ¦, meu irmão Júnior, meu irmãozinho Samuel e a minha avó Maria José ¦ pelo carinho e compreensão em todos os momentos.Ao meu esposo Alessandro pela força e paciência no decorrer destes anos.Ao meu amigo Alexander Cursino Guimarães pelo apoio e ajuda quando necessário.Ao meu amigo Eduardo José de Freitas pela força e amizade. A profa . Miriam Percia Mendes pela amizade e espírito de otimismo que sempre está presente em seu rosto.A Ana Paula e todo o pessoal da secretaria da pós-graduação, pela atenção e simpatia no atendimento.A Kelen, Fabiana, Gisleine, Luciana, Luciane e Beth pela verdadeira amizade.A Alice, a qual conheci por intermédio da Luciana, e que contribuiu muito com sua amizade, amor ao próximo e profissionalismo como assistente social do fórum de São Carlos, para que eu tivesse tranquilidade no decorrer destesúltimos anos, em vista do falecimento da minha mãe e da responsabilidade que assumi como mãe para os meus dois irmãos.A Grazieli e Renata pelo incentivo, carinho, atenção e riqueza de coração.Ao Bruno pela amizade e atenção.AÉrica, Paulo, Graziela, Juliana pelo companheirismo no decorrer destes anos.Ao Prof. Sérgio R. Fontes por acreditar em meu trabalho e pelo incentivo.A todos os amigos do Núcleo de Engenharia Térmica e Fluidos.Ao CNPq pelo apoio financeiro concedido durante o desenvolvimento deste trabalho. Í ndice

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The theory of induced voltage electromagnetic flowmeters

Cited by 197 publications

References 5 publications

A Numerical Study on Faraday-Type Electromagnetic Flowmeter in Liquid Metal System, (I)

A Numerical Study on Faraday-Type Electromagnetic Flowmeter in Liquid Metal System, (I)

Numerical simulation and verification of weight function of electromagnetic flow meter with non-insulation surface pipe

Estudo sobre a viabilidade da tomografia eletromagnética na medição do perfil de velocidades de escoamentos monofásicos em dutos

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