• Title/Summary/Keyword: system of elliptic equations

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UTD Analysis of the Subreflector of an Offxet Dual Reflector Antenna Mounted on a Satellite (UTD를 이용한 위성 탑재용 옵셋 복반사판 안테나의 부반사판 해석)

  • 임규태;이상설
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.1
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    • pp.79-88
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    • 1995
  • A subreflector of an offset dual reflecor antenna system mounted on satelite is analyzed by Uniform Geometrical Theory of Diffraction(UTD). In order to get the total electric field at an observation point, the reflected field and the diffracted fields obtained by UTD are summed. The reflected point and the diffracted points which have to satisfy nonlinear equations are obtained by numerical methods. The numerical results show taht diffracted fields eliminate the discontinuity of reflected fields at the shadow boundary. To show the validity of our results, the field pattern of the symmetric hyperboloidal reflector is computed and compared with S. W. Lee et al.'s results. At various obsevation angles, radiation patterns of offset ellipsoidal subreflectors offseted by a circular corn and by an elliptic corn are obrained, repectivelly.

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Free Vibration Analysis of Stepped Noncircular Arches with Shear Deformation (전단변형을 고려한 불연속 단면을 갖는 변화곡률 아치의 자유진동 해석)

  • Oh, Sang-Jin;Mo, Jeong-Man;Jin, Tae-Ki
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.768-771
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    • 2005
  • The purpose of this paper is to investigate the free vibration of stepped noncircular arches. Taking into account the effects of axial deformation, rotatory inertia and shear deformation, the governing differential equations are solved numerically for the elliptic and sinusoidal geometries with hinged-hinged, hinged-clamped, and clamped-clamped end constraints. The lowest four natural frequencies are presented as functions of four non-dimensional system parameters: the arch rise to span length ratio, the slenderness ratio, the section ratio, and the discontinuous sector ratio.

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A Study on the Reactor Configuration and Thermal Conditions for the Growth of High Quality Thin Film of GaN Layer (고품질 질화물 반도체 박막 성장을 위한 반응로 구조 및 열적 조건에 관한 연구)

  • Kim, Jin-Taek;Baek, Byung-Joon;Lee, Cheul-Ro;Pak, Bock-Choon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.12
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    • pp.1632-1639
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    • 2004
  • Numerical calculation has been performed to investigate the transport phenomena in the horizontal reactor which has two different gas inlets for MOCVD(metalorganic chemical vapor deposition). The full elliptic governing equations for continuity, momentum, energy and chemical species are solved by using the commercial code FLUENT. It is investigated how thermal characteristics, reactor geometry, and the operating parameters affect flow fields, mass fraction of each reactants. The numerical simulations demonstrate that flow rate of each species, inlet geometry of the reactor, and its distance from the susceptor as well as the inclination of upper wall of reactor can be used effectively to optimize reactor performance. The commonly used idealized boundary conditions are also investigated to predict flow phenomena in the actual deposition system.

Development of Computational Methods for Viscous Flow around a Commercial Ship Using Finite-Volume Methods (유한체적법을 이용한 상선주위의 난류유동 계산에 관한 연구)

  • Wu-Joan Kim;Do-Hyun Kim;Suak-Ho Van
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.4
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    • pp.19-30
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    • 2000
  • A finite-volume method is developed to solve turbulent flows around modern commercial hull forms with bow and stern bulbs. The RANS equations are solved. The cell-centered finite-volume method employs QUICK and central difference scheme for convective and diffusive flux discretization, respectively. The SIMPLEC method is adopted for the velocity-pressure coupling. The developed numerical methods are applied to calculate turbulent flow around KRISO 3600TEU container ship. Surface meshes are generated into five blocks: bow and stern bulbs, overhang, fore and afterbody. 3-D field grid system with O-H topology is generated using elliptic grid generation method. Surface friction lines and wake distribution at propeller plane is compared with experiment. The calculated results show that the present method can be used to predict flow around a modern commercial hull forms with bulbs.

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Numerical Study on Turbulent Flow in a Conical Diffuser (원추형 디퓨져 내의 난류운동에 관한 수치해석적 연구)

  • 강신형;최영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.10
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    • pp.1971-1978
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    • 1992
  • A turbulent flow in a conical diffuser with total divergence angle of 8.deg. was numerically studied. The low Reynolds number k-.epsilon. model(Launder-Sharma model) was adopted to simulate the turbulence. The continuity and time averaged Navier-Stokes equations in a nonorthogonal coordinate system were solved by a finite volume method based on the fully elliptic formulation. The low Reynolds number k-.epsilon. model reasonably simulates the pressure recovery and the mean velocity components. However, there are also considerable discrepancies between predicted and measured shear stress distribution on the wall and turbulent kinetic energy distributions. It is necessary to investigate the flow structure at the entry of the diffuser, numerically as well as experimentally.