• Title/Summary/Keyword: Lorentz force equation

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The Analysis of Liquid Metal Flow Characteristics in the Annular Passage of an Electromagnetic Pump

  • Kim, Chang-Eob;Jeon, Mun-Ho;Kwon, Jeong-Tae;Lim, Hyo-Jae;Lee, Suk-Won
    • Journal of Electrical Engineering and Technology
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    • v.5 no.2
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    • pp.270-275
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    • 2010
  • An electromagnetic pump using a tubular induction motor (TLIM) has been proposed to pump liquid metal fluids. TLIM has been designed for liquid metal flow systems with a motor with a thrust force of 40~77[N]. The flow characteristics have been investigated by solving the Navier-Stokes equation, where the Lorentz force was included simply by considering it as a constant in the Navier-Stokes equation. A wood metal was chosen to simulate the liquid metal. The effect of Lorentz force on the flow rate was investigated. An experiment was conducted and its results were compared with those of the simulation. The simulation result showed an overestimation of about 17% compared with the experimental one.

Analysis of The Liquid Metal Flow in the Rectangular Duct of an Electromagnetic Pump (전자기펌프의 사각덕트 내의 유동특성 해석)

  • Kwon, J.T.;Lim, H.J.;Kim, C.E.;Kim, S.H.;Kim, M.S.;Jeon, M.H.
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.3110-3115
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    • 2007
  • The effect of Lorentz force(Electromagnetic force) on the liquid metal flow has been investigated. The flow velocity has been calculated by treating the Lorentz force as a source term in the Navier-Stokes equation. The liquid metal flow in the rectangular duct of an electromagnetic pump was analyzed with the Lorentz force varied.

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Liquid Metal Flow Analysis for Electromagnetic Pump Design (액체금속 이송용 전자기 펌프 설계를 위한 유동해석)

  • Kwon, Jeong-Tae;Lim, Hyo-Jae;Kim, Seo-Hyun;Nam, Taek-Hun;Kim, Chang-Eob
    • Proceedings of the SAREK Conference
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    • 2008.11a
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    • pp.137-144
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    • 2008
  • The effect of Lorentz force(Electromagnetic force) on the liquid metal flow has been investigated. The flow velocity has been calculated by treating the Lorentz force as a source term in the Navier-Stokes equation. The liquid metal flow in the annular duct of an electromagnetic pump was analyzed with the Lorentz force varied.

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Design of an Electromagnetic Pump and Numerical Analysis of the Liquid Metal Flow (전자기펌프의 설계 및 액체금속 유동의 수치해석)

  • Kwon, Jeong-Tae;Kim, Seo-Hyun;Nahm, Taek-Hoon;Lim, Hyo-Jae;Kim, Chang-Eob
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.10
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    • pp.2589-2595
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    • 2009
  • An electromagnetic pump has been designed using Load Distribution Method and Equivalent Circuit Method, and installed in a liquid metal flow system. The relation between the driving power of he electromagnetic pump and the flow rate was proposed. Also, the flow velocity and flow rate has been calculated by treating the Lorentz force as a source term in the Navier-Stokes equation. The calculation results were analyzed and compared with data from a commercial Code, FLUENT. They agreed well with each other within an error of 5%.

Optimal Coil Configuration Design Methodology Using the Concept of Equivalent Magnetizing Current (등가자화전류를 이용한 최적코일형상 설계방법)

  • Kim, Woo-Chul;Kim, Min-Tae;Kim, Yoon-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.1 s.256
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    • pp.43-49
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    • 2007
  • A new electric coil design methodology using the notion of topology optimization is developed. The specific design problem in consideration is to find optimal coil configuration that maximizes the Lorentz force under given magnetic field. Topology optimization is usually formulated using the finite element method, but the novel feature of this method is that no such partial differential equation solver is employed during the whole optimization process. The proposed methodology allows the determination of not only coil shape but also the number of coil turns which is not possible to determine by any existing topology optimization concept and to perform single coil strand identification algorithm. The specific applications are made in the design of two-dimensional fine-pattern focusing coils of an optical pickup actuator. In this method, the concept of equivalent magnetizing current is utilized to calculate the Lorentz force, and the optimal coil configuration is obtained without any initial layout. The method is capable of generating the location and shape of turns of coil. To confirm the effectiveness of the proposed method in optical pickup applications, design problems involving multipolar permanent magnets are considered.

Analysis of MHD Flow Characteristics under an Electromagnetic Forces (전자기력을 고려한 MHD 유동특성해석)

  • Kim, Min-Seok;Kim, Jung-Hyun;Jeon, Mun-Ho;Kim, Chang-Eob;Kim, Seo-Hyun;Kwon, Jeong-Tae
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.876-877
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    • 2007
  • This paper presents the MHD characteristics of the liquid metal flow using an electromagnetic force. The flow velocity has been calculated by treating the Lorentz force as a source term in the Navier-Stokes equation. The liquid metal flow in duct using an electromagnetic pump was analyzed with the Lorentz force varied.

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Magneto-thermo-elastic response of a rotating functionally graded cylinder

  • Hosseini, Mohammad;Dini, Ali
    • Structural Engineering and Mechanics
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    • v.56 no.1
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    • pp.137-156
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    • 2015
  • In this paper, an analytical solution of displacement, strain and stress field for rotating thick-walled cylinder made of functionally graded material subjected to the uniform external magnetic field and thermal field in plane strain state has been studied. Stress, strain and displacement field as a function of radial coordinates considering magneto-thermo-elasticity are derived analytically. According to the Maxwell electro-dynamic equations, Lorentz force in term of displacement is obtained in cylindrical coordinates. Also, symmetric temperature distribution along the thickness of hollow cylinder is obtained by solving Fourier heat transfer equation in cylindrical coordinates. Using equation of equilibrium and thermo-mechanical constitutive equations associated with Lorentz force, a second-order inhomogeneous differential equation in term of displacement is obtained and will be solved analytically. Except Poisson's ratio, other mechanical properties such as elasticity modulus, density, magnetic permeability coefficient, heat conduction coefficient and thermal expansion coefficient are assumed to vary through the thickness according to a power law. In results analysis, non-homogeneity parameter has been chosen arbitrary and inner and outer surface of cylinder are assumed to be rich metal and rich ceramic, respectively. The effect of rotation, thermal, magnetic field and non-homogeneity parameter of functionally graded material which indicates percentages of cylinder's constituents are studied on displacement, Von Mises equivalent stress and Von Mises equivalent strain fields.

Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

  • Arefi, M.;Rahimi, G.H.;Khoshgoftar, M.J.
    • Smart Structures and Systems
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    • v.9 no.5
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    • pp.427-439
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    • 2012
  • The present paper deals with the analytical solution of a functionally graded piezoelectric (FGP) cylinder in the magnetic field under mechanical, thermal and electrical loads. All mechanical, thermal and electrical properties except Poisson ratio can be varied continuously and gradually along the thickness direction of the cylinder based on a power function. The cylinder is assumed to be axisymmetric. Steady state heat transfer equation is solved by considering the appropriate boundary conditions. Using Maxwell electro dynamic equation and assumed magnetic field along the axis of the cylinder, Lorentz's force due to magnetic field is evaluated for non homogenous state. This force can be employed as a body force in the equilibrium equation. Equilibrium and Maxwell equations are two fundamental equations for analysis of the problem. Comprehensive solution of Maxwell equation is considered in the present paper for general states of non homogeneity. Solution of governing equations may be obtained using solution of the characteristic equation of the system. Achieved results indicate that with increasing the non homogenous index, different mechanical and electrical components present different behaviors along the thickness direction. FGP can control the distribution of the mechanical and electrical components in various structures with good precision. For intelligent properties of functionally graded piezoelectric materials, these materials can be used as an actuator, sensor or a component of piezo motor in electromechanical systems.

The Comparison of thrust computational methods of a brushless DC linear motor (브러시 없는 직류 선형 모터의 추력 계산 방법의 비교)

  • Choi, Moon-Suk;Kim, Yong-Yil
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.32-34
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    • 1997
  • For a given brushless DC linear motor, we suggest the numerical prediction methods to analyze it's thrust characteristics. First, we calculate the magnetic flux density by the finite element method, and we then compute the maximum thrust with three computational methods - a Lorentz equation, a Maxwell stress method and a virtual work method. To confirm the accuracy of the computational methods, we measure the thrust of the linear motor made by our laboratory with a force-torque sensor. Also, we calculate the thrust by the measured back electromotive force. To choose the appropriate method for a specified application, we compare the maximum thrusts of the computational method and the calculation by the back electromotive force with the measured one. We conclude that the Maxwell stress method is turned out the best because it has the most accurate results among three computational methods and it is more convenient than the calculation method by the back electromotive force.

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Analysis of Duct Flow Characteristics under an Electromagnetic Force (전자기력에 의한 덕트 내부의 유동특성)

  • Kim, Min-Seok;Kim, Jung-Hyun;Jeon, Mun-Ho;Kim, Chang-Eob;Kim, Seo-Hyun;Kwon, Jeong-Tae
    • Proceedings of the KIEE Conference
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    • 2007.04c
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    • pp.141-143
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    • 2007
  • This paper presents the MHD characteristics of the liquid metal flow. The electromagnetic force was calculated by the equivalent circuit method. This Lorentz force was used as a source term for the fluid flow equations. The modified Navier-Stokes equation was solved to give the velocity distributions of the liquid metal flow.

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