• Title/Summary/Keyword: Lorentz 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.

Spreading of a Lorentz-Gauss Vortex Beam Propagating through Oceanic Turbulence

  • Liu, Dajun;Yin, Hongming;Wang, Guiqiu;Wang, Yaochuan
    • Current Optics and Photonics
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    • v.3 no.2
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    • pp.97-104
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    • 2019
  • Based on the extended Huygens-Fresnel principle, the analytical equation for a Lorentz-Gauss vortex beam propagating through oceanic turbulence has been derived. The spreading properties of a Lorentz-Gauss vortex beam propagating through oceanic turbulence are analyzed in detail using numerical examples. The results show that a Lorentz-Gauss vortex beam propagating through stronger oceanic turbulence will spread more rapidly, and the Lorentz-Gauss vortex beam with higher topological charge M will lose its initial dark center more slowly.

ASSOCIATED CURVES OF CHARGED PARTICLE MOVING WITH THE EFFECT OF MAGNETIC FIELD

  • Muhammed Talat Sariaydin;Aziz Yazla
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.589-598
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    • 2023
  • Magnetic curves are the trajectories of charged particals which are influenced by magnetic fields and they satisfy the Lorentz equation. It is important to find relationships between magnetic curves and other special curves. This paper is a study of magnetic curves and this kind of relationships. We give the relationship between β-magnetic curves and Mannheim, Bertrand, involute-evolute curves and we give some geometric properties about them. Then, we study this subject for γ-magnetic curves. Finally, we give an evaluation of what we did.

Relations Between the Symplectic Form and the Lorentz Reciprocity (심플렉틱 형태와 로렌츠 상호작용의 관계)

  • Cho, Yong-Heui
    • Proceedings of the Korea Contents Association Conference
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    • 2006.05a
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    • pp.398-400
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    • 2006
  • The symplectic form based on a symplectic space is introduced to simplify a probe compensation equation in terms of the near-field measurement algorithm. The Lorentz reciprocity principle is also utilized for a near-field probe compensation equation. Applying the symplectic form to the probe compensation equation gives a simplified probe equation, thus confirming the validity of our approach.

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The Enhancement of Antenna Near-Field Measurements Using Near-Field to Far-Field Transform Algorithms Based on the Lorentz Reciprocity Theorem (로렌츠 상호작용 원리와 근역장-원역장 변환 공식을 이용한 안테나 근역장 측정 알고리즘 개선)

  • Cho, Yong-Heui
    • The Journal of the Korea Contents Association
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    • v.6 no.2
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    • pp.51-58
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    • 2006
  • The enhancement of antenna near-field measurements is obtained using a general probe compensation equation based on the Lorentz reciprocity theorem and reciprocity notation. The probe compensation is an essential process of the near-field to far-field transformations. Applying the equation proposed in this paper to a planar scanning for a rectangular horn antenna shows that our near-field radiation pattern is similar to that of a far-field and our theory is very simple to use and suitable for most practical applications.

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자성 유체 역학에 의한 광자기-굴절률 통합시도

  • Kim, Myeong-Jun
    • Proceedings of the Optical Society of Korea Conference
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    • 2008.07a
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    • pp.215-216
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    • 2008
  • Electricity unified field is described based on magnetic theory. Maxwell Einstein Lorentz Equation & pair particle photon model was introduced for Photonics. Refractive index is calculated as deceleration and deflection of photon due to photo-induced surface magnetism. MEL equation was proved with magneto-jet assumption.

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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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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.

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%.