• 제목/요약/키워드: Periodic Boundary Condition

검색결과 128건 처리시간 0.023초

휜형 원형관의 형상 최적화를 위한 다목적 전역 최적화 기법의 응용 (An Application of Multi-Objective Global Optimization Technique for Internally Finned Tube)

  • 이상환;이주희;박경우
    • 설비공학논문집
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    • 제17권10호
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    • pp.938-946
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    • 2005
  • Shape optimization of internally finned circular tube has been peformed for periodically fully developed turbulent flow and heat transfer. The physical domain considered in this study is very complicated due to periodic boundary conditions both streamwise and circumferential directions. Therefore, Pareto frontier sets of a heat exchanger can be acquired by coupling the CFD and the multi-objective genetic algorithm, which is a global optimization technique. The optimal values of fin widths $(d_1,\;d_2)$ and fin height (H) are numerically obtained by minimizing the pressure loss and maximizing the heat transfer rate within ranges of $d_1=0.2\sim1.5\;mm,\;d_2=0.2\sun1.5\;mm,\;and\;H=0.2\sim1.5\;mm$. The optimal values of the design variables are acquired after the fifth generation and also compared to those of a local optimization algorithm for the same geometry and conditions.

내부휜이 부착된 원형관 열교환기의 열/유동 해석 및 최적설계 (Flow/Heat Transfer Analysis and Shape Optimization of a Heat Exchanger with Internally Finned Tube)

  • 이주희;이상환;임효재;박경우
    • 대한기계학회논문집B
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    • 제29권4호
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    • pp.460-468
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    • 2005
  • Analyses of flow and heat transfer characteristics and shape optimization of internally finned circular tubes have been performed for three-dimensional periodically fully developed turbulent flow and heat transfer. CFD and mathematical optimization are coupled in order to optimize the shape of heat exchanger. The design variables such as fin widths $(d_{1},\;d_{2})$ and fin height (h) are numerically optimized by minimizing the pressure loss and maximizing the heat transfer rate for limiting conditions of $d_{1}=0.2\~1.5\;mm,\;d_{2}=0.2\~1.5\;mm,$ and $h=0.2\~1.5mm$. Due to the periodic boundary conditions along main flow direction, the three layers of meshes are considered. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by means of the sequential quadratic programming (SQP) method which is widely used in the constrained nonlinear optimization problem.

비선형 부하를 갖는 영구자석 발전기의 유한요소 해석 (Finite element analysis or permanent magnet alternator with nonlinear load)

  • 홍기란;한송엽
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1989년도 추계학술대회 논문집 학회본부
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    • pp.53-57
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    • 1989
  • Until now, method of equivalent circuit is generally used in analyzing the characteristic of the synchronous alternator. But this method can't apply when loads are connected to alternator. In this paper, we analyzed the load characteristic of the synchronous alternator with permanant magnet using 2-dimensional finite element method having voltage source. The loads of a alternator are battary and diodes which are used to rectify. also, we used half periodic boundary condition in the F.E.M calculation

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THE METHOD OF LOWER AND UPPER SOLUTIONS FOR IMPULSIVE FRACTIONAL EVOLUTION EQUATIONS IN BANACH SPACES

  • Gou, Haide;Li, Yongxiang
    • 대한수학회지
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    • 제57권1호
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    • pp.61-88
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    • 2020
  • In this paper, we investigate the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition by means of the method of upper and lower solutions and monotone iterative method. Using the theory of Kuratowski measure of noncompactness, a series of results about mild solutions are obtained. Finally, two examples are given to illustrate our results.

기판 위에 분포된 발열블록 주위의 3차원 혼합대류 열전달 해석 (Analysis of Three-Dimensional Mixed Convection Flow About Uniformly Distributed Heat-Generating Blocks on a Conductive Wall)

  • 윤병택;최동형
    • 대한기계학회논문집B
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    • 제23권1호
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    • pp.1-11
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    • 1999
  • The three-dimensional laminar mixed convection flow between the conductive printed circuit boards. on which the heat generating rectangular blocks are uniformly distributed, has been examined in the present study. The flow and heat-transfer characteristics are assumed to be pseudo periodic in the streamwise direction and symmetric in the cross-stream direction. Using an algorithm of SIMPLER, the continuity equation. the Navier-Stokes equations and the energy equation are solved numerically in the three-dimensional domain Inside the channel. The convective derivative terms are discretized by the QUICK scheme to accurately capture the flow field. The flow and the heat transfer characteristics are thoroughly examined for various Re and Gr.

사각 물체가 존재하는 밀폐계의 종횡비 변화에 따른 내부 자연대류 현상에 대한 수치적 연구 (Numerical Simulation of the Natural Convection in Horizontal Enclosure of Different Aspect Ratio with an Array of Square Cylinder)

  • 이재룡;하만영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.109-114
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    • 2003
  • The physical model considered here is a horizontal layer of fluid heated below and cooled above with a periodic array of evenly spaced square cylinders placed at the center of the layer, whose aspect ratio here varies from unity to twelve. Periodic boundary condition is employed along the horizontal direction to allow for lateral freedom for the convection cells. Two-dimensional solution for unsteady natural convection is obtained using an accurate and efficient Chebyshev spectral multi-domain methodology for a given Rayleigh numbers of $10^{6}$.

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FDTD법을 이용한 광도파로 해석 (Optical Waveguide Analysis by using the FDTD Method)

  • 김태용;이훈재
    • 한국정보통신학회:학술대회논문집
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    • 한국정보통신학회 2013년도 춘계학술대회
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    • pp.59-60
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    • 2013
  • 광도파로를 해석하기 위해서 FDTD법을 이용하였다. 그러나 광도파로의 구조는 구동 주파수의 파장에 비하여 상대적으로 크고, 주기적인 구조 특성을 가지고 있다. 따라서 도파로의 해는 한 주기에 해당하는 구조를 대상으로 주기적 경계조건을 적용하여 구할 수 있다. 본 논문에서는 서로 다른 매질 등으로 구성되는 도파로를 대상으로 주기적 경계조건을 적용하고 그 특성을 해석하였다.

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Stability and non-stationary vibration analysis of beams subjected to periodic axial forces using discrete singular convolution

  • Song, Zhiwei;Li, Wei;Liu, Guirong
    • Structural Engineering and Mechanics
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    • 제44권4호
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    • pp.487-499
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    • 2012
  • Dynamic instability of beams subjected to periodic axial forces is studied using the discrete singular convolution (DSC) method with the regularized Shannon's delta kernel. The principal regions of dynamic instability under different boundary conditions are examined in detail, and the non-stationary vibrations near the stability-instability critical regions have been investigated. It is found that the results obtained by using the DSC method are consistent with the analytical solutions, which shows that the DSC algorithm is suitable for the problems considered in this study. It was found that there is a narrow region of beat vibration existed in the vicinity of one side (${\theta}/{\Omega}$ > 1) of the boundaries of the instable region for each condition.

섬유강화 복합재료 등가열팽창계수 예측 및 인공위성 열지향오차 해석 (Prediction of the Equivalent Coefficient of Thermal Expansion of Fiber Reinforced Plastic Lamina and Thermal Pointing Error Analysis of Satellites)

  • 유원영;임재혁;김선원;김창호;김성훈
    • 항공우주기술
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    • 제13권1호
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    • pp.76-85
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    • 2014
  • 본 연구에서는 다양한 열팽창계수 예측기법을 활용해서 섬유강화 복합재료 라미나 등가 열팽창계수 예측을 수행하였다. 등가열팽창계수를 예측하는 많은 식들이 제안되어 왔지만 사용대상에 따라 제약이 있거나, 예측결과가 시험결과와 잘 일치하지 않는 문제점을 갖고 있다. 본 연구에서 실제 복합재료 형상과 유사한 대표체적요소를 선정하여 유한요소 모델링을 수행하고 여기에 주기적 경계조건을 부여하여 재료의 등가열팽창계수를 예측하였다. 예측결과를 기존의 예측식 및 시험결과와 비교하여 그 성능을 검증하였으며, 별추적기 지지구조물의 열지향오차해석을 수행하고 다양한 예측물성을 따라 그 정확도를 검토하였다.

사각 실린더 주위의 2차원 층류 유동해석과 LBM 해석 결과의 평가 (NUMERICAL SOLUTION OF LAMINAR FLOW OVER SQUARE CYLINDER IN A CHANNEL AND EVALUATION OF LBM SIMULATION RESULTS)

  • 김형민
    • 한국전산유체공학회지
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    • 제10권2호
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    • pp.30-37
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    • 2005
  • To evaluate LBM we performed the simulation of the unsteady two dimensional flow over a square cylinder in a channel in moderate Reynolds number range, $100\~500$ by using LBM and Fractional-Step method. Frist of all we compared LBM solution of Poiseuille flow applied Farout and periodic boundary conditions with the analytical solution to verify the applicability of the boundary conditions. For LBM simulation the calculation domain was formed by structured 500x100 grids. Prescribed maximum velocity and density inlet and Farout boundary conditions were imposed on the in-out boundaries. Bounceback boundary condition was applied to the channel and the cylinder waifs. The flow patterns and vortex shedding strouhal numbers were compared with previous research results. The flow patterns by LBM were in agreement with the flow pattern by fractional step method. Furthermore the strouhal number computed by LBM simulation result was more accurate than that of fractional step method through the comparison of the previous research results.