• Title/Summary/Keyword: G-방정식

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Application of Implicit Function Theorem to Existence of Solutions to Ordinary Differential Equations with Nonlocal Boundary Conditions, I (비국소 경계 조건들을 가진 상미분 방정식들의 근의 존재성에 음함수 정리들의 응용 I)

  • Do, Tae-Sug
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.3
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    • pp.219-224
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    • 2002
  • We consider the problem y"=a(x,y)(y-b), y(0)=0, y'(1)=g(y(${\xi}$), y'(${\xi}$)), (0${\xi}$ fixed in(0,1)) as a model of steady-slate heat conduction in a rod when the heat flux at the end x = 1 is determined by observation of the temperature and heat flux at some interior point ${\xi}$. We establish conditions sufficient for existence, uniqueness.

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축변환 구성방정식을 이용한 암석 이방성 탄성계수 산정

  • 김영수;이재호;허노영;박영화;최정호
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.729-736
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    • 2000
  • For nonhomogeneous and anisotropic rocks such as schist, shale, etc, a method to determine the anisotropic elastic constants was proposed. Many authors have investigated in detail the behavior elastic constants of anisotropy rocks(Pinto 1970, Amadei 1983, 1992, Amadei & Savage 1989). They concluded that equations of elastic constants E$_1$, E$_2$ and G$_2$ can be derived from the measured strains in arbitrary three directions. And, modulus of elasticity varies according to the inclination of discontinuity in specimens. If we attach three strain gages in accordance with the directions of anisotropy on the rock specimen under uni-axial compression and diametral compression tests, anisotropy elastic constants can be determined by these equations. With this method, the degree of anisotropy will be easily evaluated by simple laboratory test. This paper presents the results of elastic constants due to the angle of bedding planes of anisotropic rock, such as shale, in uni-axial compression and diametral compression tests

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A UPFG Steady-State Model derived from UPFC Bus Power Equation (UPFC 모선전력방정식을 이용한 UPFC 정태 해석모델의 유도)

  • Jeon, D.H.;Kim, T.G.;Yoon, J.S.;Kim, K.J.
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1161-1163
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    • 1999
  • This paper presents the new unified power flow controller(UPFC) steady-state model. This is derived from UPFC bus power equations of UPFC Synchronous voltage source model. This is very simple and exact model. This can easily be incorporated in a load flow Program, which is suited for monitoring the Power system state as well as determining the magnitude and phase angle of UPFC serial voltage source.

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Optimization Design of Cascade with Rotor-Stator Interaction Effects (정익과 동익의 상호작용을 고려한 익렬의 공력 최적 설계)

  • Cho, J, K.;Jung, Y. R.;Park, W. G.
    • 유체기계공업학회:학술대회논문집
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    • 2001.11a
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    • pp.293-299
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    • 2001
  • Since the previous cut-and-try design algorithm require much cost and time, it has recently been concerned the automatic design technique using the CFD and optimum design algorithm. In this study, the Navier-Stokes equations is solved to consider the more detail viscous flow informations of cascade interaction and O-H multiblock grid system is generated to impose an accurate boundary condition. The cubic-spline interpolation is applied to handle a relative motion of a rotor to the stator. To validate present procedure, the time averaged aerodynamic loads are compared with experiment and good agreement obtained. Once the N-S equations have been solved, the computed aerodynamic loads may be used to computed the sensitivities of the aerodynamic objective function. The Modified Method of feasible Direction(MMFD) is usef to compute the

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Center-of-Gravity Effect on Supersonic Separation from the Mother Plane (무게중심 변화에 따른 초음속 공중발사 로켓의 모선분리 연구)

  • Ji, Young-Moo;Lee, Jae-Woo;Byun, Yung-Hwan;Park, Jung-Sang
    • 유체기계공업학회:학술대회논문집
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    • 2006.08a
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    • pp.423-426
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    • 2006
  • An analysis is made of flow and rocket motion during a supersonic separation stage of air-launching rocket(ALR) from the mother plane. Three-dimensional compressible Navier-Stokes equations is numerically solved to analyze the steady/unsteady flow field around the rocket which is being separated from the mother plane configuration(F-4E Phantom). The simulation results clearly demonstrate the effect of shock-expansion wave interaction between the rocket and the mother plane. To predict the behavior of the ALR according to the change of the C.G., three cases of numerical analysis are performed. As a result, a design-guideline of supersonic air-launching rocket for the safe separation is proposed.

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EXACT RIEMANN SOLVER FOR THE AIR-WATER TWO-PHASE SHOCK TUBE PROBLEMS (공기-물 이상매질 충격파관 문제에 대한 정확한 Riemann 해법)

  • Yeom, G.S.;Chang, K.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.365-367
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    • 2010
  • In this paper, we presented the exact Riemann solver for the air-water two-phase shock tube problems where the strength of the propagated sock wave is moderately weak. The shock tube has a diaphragm in the middle which separates water medium in the left and air medium in the right. By rupturing the diaphragm, various waves such as rarefaction wave, shock wave and contact discontinuity are propagated into water and air. Both fluids are treated as compressible, with the linearized equations of state. We used the isentropic relations for the air and water assuming a weak shock wave. We solved the shock tube problem considering a high pressure in the water and a low pressure in the air. The numerical results cleary showed a left-traveling rarefaction wave in the water, a right-traveling shock wave in the air, and the right-traveling material interface.

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NUMERICAL CODE DEVELOPMENT OF THE MULTIPHASE FLOW AROUND AN UNDERWATER VEHICLE UNDER SUBMARINE WAKE. (후류중에 있는 수중운동체의 캐비테이션 유동 현상 및 유체력 변화 해석 코드 개발)

  • Park, S.I.;Ha, C.T.;Park, W.G.;Lee, K.C.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.115-121
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    • 2010
  • Cavitating flow is widely shown in many engineering systems, such as marine propellers, pump impellers, nozzles, injectors, torpedoes, etc. The present work focuses on the numerical analysis of the multiphase flow around the underwater vehicle which was launched from a submarine. The governing equation is the Navier-Stokes equation with a homogeneous mixture mode. The multiphase flow solver uses an implicit preconditioning scheme in curvilinear coordinate. For the code validation, the results from the present work are compared with the existing experimental and numerical results, and a reasonably good agrements are obtained. The multiphase flow around an underwater vehicle is simulated which includes submarine wake effects.

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Rheological Characterization of Polypropylene/Layered Silicate Nanocomposites Using Integral Constitutive Equations (적분형 구성방정식을 이용한 폴리프로필렌/층상 실리케이트 나노복합재료의 유변학적 특성 분석)

  • Lee, Seung-Hwan;Youn, Jae-Ryoun
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.11a
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    • pp.137-140
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    • 2005
  • Exfoliated nanocomposites of polypropylene/layered silicate were prepared by a melt compounding process using maleic anhydride modified polypropylene (PP-g-MAH) and organoclay. It was found that polypropylene/layered silicate nanocomposites exhibited remarkable reinforcement compared with the pure polypropylene or conventional composite filled with agglomerated organoclay. The polypropylene /layered silicate nanocomposites showed stronger and earlier shear thinning behaviors and outstanding strain hardening behavior than pure polypropylene or other conventional composites in shear and uniaxial elongational flows, respectively. We simulated rheological modeling for the pure polymer matrix and polypropylene/layered silicate nanocomposite in shear and elongational flows using K-BKZ integral constitutive equation. The two types of K-BKZequations have been examined to describe experimental results of shear and uniaxial elongational viscosities of pure polypropylene and polypropylene/layered silicate nanocomposite.

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NUMERICAL STUDY OF CHIP COOLING ENHANCEMENT WITH EVAPORATING MIST FLOW (분무 증발을 이용한 칩 냉각 향상에 대한 수치적 연구)

  • Roh, S.E.;Kim, D.;Son, G.
    • Journal of computational fluids engineering
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    • v.18 no.2
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    • pp.9-16
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    • 2013
  • The heat transfer enhancement of heat sink with mist flow is studied numerically by solving the conservation equations for mass, momentum and energy in the continuous and dispersed phases. A Lagrangian method is used for tracing dispersed water droplets in the heat sink and an Eulerian species transport model for air and steam mixture. The continuous and dispersed phases are interacted with the drag and evaporation source terms. The computed results show that addition of evaporating mist droplets enhances the cooling performance of heat sink significantly.

Acoustic Analysis of Axial Fan using BEM based on Kirchhoff Surface (Kirchhoff Surface를 이용한 Fan 소음 해석)

  • Park Y.-M.;Lee S.
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.763-766
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    • 2002
  • A BEM is highly efficient method in the sense of economic computation. However, boundary integration is not easy for the complex and moving surface e.g. in a rotating blade. Thus, Kirchhoff surface is designed in an effort to overcome the difficulty resulting from complex boundary conditions. A Kirchhoff surface is a fictitious surface which envelopes acoustic sources of main concern. Acoustic sources may be distributed on each Kirchhoff surface element depending on its acoustic characteristics. In this study, an axial fan is assumed to have loading noise as a dominant source. Dipole sources can be computed based on the FW-H equation. Acoustic field is then computed by changing Kirchhoff surface on which near-field is implemented, to analyze the effect of Kirchhoff surface on it.

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