• 제목/요약/키워드: Maxwell's Equations

검색결과 113건 처리시간 0.036초

Maxwell nanofluid flow through a heated vertical channel with peristalsis and magnetic field

  • Gharsseldien, Z.M.;Awaad, A.S.
    • Advances in nano research
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    • 제13권1호
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    • pp.77-86
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    • 2022
  • This paper studied the peristaltic transport of upper convected Maxwell nanofluid through a porous medium in a heated (isothermal) symmetric vertical channel. The nanofluid is assumed to be electrically conducting in the presence of a uniform magnetic field. These phenomena are modeled mathematically by a differential equations system by taking low Reynolds number and long-wavelength approximation, the yield differential equations have solved analytically. A suggested new technique to display and discuss the trapping phenomenon is presented. We discussed and analyzed the pumping characteristics, heat function, flow velocity and trapping phenomena which were illustrated graphically through a set of figures for various values of parameters of the problem. The numerical results show that, there are remarkable effects on the vertical velocity, pressure gradient and trapping phenomena with the thermal change of the walls.

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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    • 제9권5호
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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 Study of the Electroconductive Liquids Flow in a Conduction Magnetohydrodynamic Pump

  • Naceur, Sonia;Kadid, Fatima Zohra;Abdessemed, Rachid
    • Transactions on Electrical and Electronic Materials
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    • 제17권5호
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    • pp.252-256
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    • 2016
  • This paper deals the study of a linear MHD pump solution used to eliminate and to avoid the dangers of the mercury appearing through pollution and contamination. The formulation of the magnetohydrodynamic phenomena is derived from Maxwell and Navier-Stokes equations are solved using the finite volume method. Simulation results highlight the performance of the pump such as the electromagnetic force, the velocity, and the pressure, the application of Ansys-Fluent software validation these results.

FDTD를 이용한 인체 두부모델의 SAR 분포특성 해석 (Analysis of SAR Distribution Characteristics in a Head Model using FDTD)

  • 홍동욱;김두현;강동규
    • 한국안전학회지
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    • 제19권2호
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    • pp.34-40
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    • 2004
  • This paper presents an analysis of SAR(Specific Absorption Rate) distribution characteristics in a head model using FDTD(Finite Difference Time Domain). In this study human head was modelled in four elements-layered structure, consisting of skin, fat, skull and brain. To calculate the electromagnetic fields wihtin the head model, FDTD method was used. In the FDTD method, the electromagnetic wave is analyzed by solving a Maxwell's equations repeatedly. For the calculation, distance between power source and head model increased by 10[m]. Power density and incident electric field intensity were calculated. Based on the incident electric field, the program which calaculated internal electric fields intensity and SAR calculation of the head model were developed. The results of developed program using FDTD were compared with those of a commericial programs, which showed the availability and usefulness of the suggested scheme in this paper.

Maxwell 방정식의 효율적인 풀이를 위한 경계요소법과 웨이브렛의 결합 (the Combination of Wavelet with Boundary Element Method for the Efficient Solution of Maxwell's Equations)

  • 김현준;이승걸;오범환;이일항
    • 전자공학회논문지CI
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    • 제39권6호
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    • pp.24-35
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    • 2002
  • Maxwell 방정식을 효율적으로 풀기 위해 웨이브렛 행렬 변환(wavelet matrix transformation)과 경계요소법(Boundary Element Method)을 결합하는 방법을 제안하였으며, 2차원 위상변이 마스크(phase- shifting mask) 문제에 적용하였다. 계산 결과를 해석적인 해 및 참고문헌의 결과와 비교함으로써 구현된 모듈의 정확도를 검증하였으며, 제안된 방법이 경계요소법만을 적용한 경우에 비해 연산 시간과 메모리 사용 측면에서 효율적임을 확인하였다.

유한요소법에 의한 자기회로 해석 (Analysis of magnetic circuits by F.E.M.)

  • 이기식
    • 전기의세계
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    • 제29권9호
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    • pp.599-603
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    • 1980
  • Mathematically, the Electromagnetic phenomena can be represented by the Maxwell's equations, but it is very difficult to solve these equations, especially, having complex structural boundaries. By the way, the development of a computer system made us easy to solve these kind of partial differential equations. The Finite Element Method, one of the numerical methods, is very this. This paper shows the power of F.E.M. by examining, with an example of a hollow cylinder in a uniform magnetic field which is analytically solvable, the errors and the tendency of magnetic flux lines.

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유전체주의 전자장 산란 해석 (An Analysis of Electromagnetic Field Scattering for the Dielectric Cylinders)

  • 박동희;김정기
    • 한국통신학회논문지
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    • 제17권2호
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    • pp.181-186
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    • 1992
  • 임의 단면을 갖는 도체 및 유전체주로 비추어진 TMz 산란 특성은 경계요소법으로 해석하였다. 경계요소 방정식은 Maxwell 방정식, 가중잔차 또는 Green 정리, 그리고 경계조건에 의해서 구성된다. 이때 경계상에서의 미지 표면장은 경계요소 접근 방정식으로 계산된다. 경계상에서 표면장이 구해지므로 무한공간에서 산란된 장과 산란폭은 쉽게 구할 수 있다. 해석된 예로써 완전도체 원형과 타원형 원통주, 그리고 유전체 원형과 타원형 원통주로부터의, 평면과 산란을 수치적으로 해석하였다. 컴퓨터 프로그램은 2차요소(고차경계요소)와 Gaussian구적법을 사용하여 향상시켰다.

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휴대폰 전자파에 노출된 頭部에 흡수되는 SAR의 FDTD에 의한 해석 (FDTD Calculation for SAR Induced in a Head Model by the Electromagnetic Fields Irradiated from a Cellular Phone)

  • 이윤경;임현준;우종우;윤현보
    • 한국전자파학회논문지
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    • 제9권1호
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    • pp.1-7
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    • 1998
  • 모노폴 안테나를 갖는 휴대폰의 근거리 전자계블 맥스웰 방정식의 적분형을 이용한 FDTD 수식으로부터 계산 하였다. 이 전자계 값을 기존의 맥스웰 방정식의 미분형인 FDTD 수식에 대입하여 頭部의 전자파 노출 부위에 따른 SAR 분포플 계산하였다. 頭部는 유전율과 도전율이 같은 각 부분을 5 mm 크기인 80,000 개의 정육면체 셀로 분할하였고 휴대폰의 입력 전력은 0.6 W 이며 동작 주파수는 833 MHz로 하였다. 안테나로부터 2cm 떨어진 거리에서 頭部모형내 유기되는 최대 SAR 값은 1.5 [W/kg] 이었으며 이 값은 IEEE 의 안전기준인 1.6 L [W /kg] 이하임을 알 수 있다.

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Bending analysis of smart functionally graded plate using the state-space approach

  • Niloufar Salmanpour;Jafar Rouzegar;Farhad Abad;Saeid Lotfian
    • Steel and Composite Structures
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    • 제52권5호
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    • pp.525-541
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    • 2024
  • This study uses the state-space approach to study the bending behavior of Levy-type functionally graded (FG) plates sandwiched between two piezoelectric layers. The coupled governing equations are obtained using Hamilton's principle and Maxwell's equation based on the efficient four-variable refined plate theory. The partial differential equations (PDEs) are converted using Levy's solution technique to ordinary differential equations (ODEs). In the context of the state-space method, the higher-order ODEs are simplified to a system of first-order equations and then solved. The results are compared with those reported in available references and those obtained from Abaqus FE simulations, and good agreements between results confirm the accuracy and efficiency of the approach. Also, the effect of different parameters such as power-law index, aspect ratio, type of boundary conditions, thickness-to-side ratio, and piezoelectric thickness are studied.