• Title/Summary/Keyword: 선형 구배법

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The In-Core Fuel Management by Variational Method (변분법에 의한 노심 핵연료 관리)

  • Kyung-Eung Kim
    • Nuclear Engineering and Technology
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    • v.16 no.4
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    • pp.181-194
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    • 1984
  • The in-core fuel management problem was studied by use of the calculus of variations. Two functions of interest to a public power utility, the profit function and the cost function, were subjected to the constraints of criticality, the reactor turnup equations and an inequality constraint on the maximum allowable power density. The variational solution of the initial profit rate demonstrated that there are two distinct regions of the reactor, a constant power region and a minimum inventory or flat thermal flux region. The transition point between these regions is dependent on the relative importance of the profit for generating power and the interest charges for the fuel. The fuel cycle cost function was then used to optimize a three equal volume region reactor with a constant fuel enrichment. The inequality constraint on the maximum allowable power density requires that the inequality become an equality constraint at some points in the reactor. and at all times throughout the core cycle. The finite difference equations for reactor criticality and fuel burnup in conjunction with the equality constraint on power density were solved, and the method of gradients was used to locate an optimum enrichment. The results of this calculation showed that standard non-linear optimization techniques can be used to optimize a reactor when the inequality constraints are properly applied.

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Growth of Single Crystal $\beta$-BaB2O4 by the Direct Czochralski Method (Czochralski방법에 의한 $\beta$-BaB2O4단결정 성장)

  • ;;R.K. Route;R.S. Feigelson
    • Proceedings of the Korea Association of Crystal Growth Conference
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    • 1996.06b
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    • pp.239-257
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    • 1996
  • $\beta$-BaB2O4는 고출력 가시광선 및 적외선을 발진시키는데 유용한, 비선형 특성을 가진 물질이다. $\alpha$-$\beta$ 상전이 온도가 녹는점보다 18$0^{\circ}C$ 낮기 때문에 보통 flux법으로 단결정을 성장시킨다. 수년전 Itoh등은 $\beta$-BaB2O4단결정을 congruent조성의 용액으로부터 Czochralski법으로 metastable한 상태에서 직접 성장시켰다. 그렇지만 그 공정은 잘 이해되지 않고 있으며 재현하기가 매우 어렵다. 저자들은 $\beta$-BaB2O4단결정을 용액표면온도도 1034$^{\circ}$-1085$^{\circ}C$, pulling rate 3mm/h, 10-30 rpm의 범위에서 성장시켰으며 융액표면의 온도구배는 $\beta$-상으로 성장시키는데 매우 중요한 인자로 여겨진다. Seed로는 직경 1-2mm의 c축방향 $\beta$-BaB2O4단결정 봉이 상용되어 성장방향을 조절하고 열응력을 최소화시켰다. 성장된 $\beta$-상의 단결정들은 6-fold모양을 하며 표면에 작은 비늘같은 것들이 붙어있고 중심부에 core가 있는 것을 알았다. Flux법으로 성장시킨 $\beta$-BaB2O4단결정을 사용한 seeds는 단결정 성장 및 냉각 중에 cracks이 자주 발생하였으며, boule의 cracks은 afterheater를 사용할 경우 다소 줄일 수 있었다. 성장된 단결정의 광학특성이 측정되었다.

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Effects of stabilizing temperature gradients on thermal convection in rectangular enclosures during phsysical vapor trnasport (승화법에 의한 단결정성장공정에서 이중온도구배가 대류현상에 미치는 영향)

  • 김극태;최장우;이민옥;권무현;권순길
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.9 no.1
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    • pp.94-100
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    • 1999
  • Mercurous chloride($Hg_2Cl_2$) crystals hold promise for many acousto-optic and opto-electronic applications, which are prepared in closed ampoules by the physical vapor transport(PVT) growth methods. The thermal boundary conditions established by imposing different temperature on sidewalls of the enclosure cause simultaneous horizontal and vertical convectie flow in the PVT processes of$Hg_2Cl_2$ . It is found that for the ratios of horizontal to vertical thermal Rayleigh numbers$Ra_H/Ra{\ge}1.5$, the convective flow structure changes from multicellular to unicellular for the base parametric state of Ra=($2.79{\times}10^4$) , Pr=0.91, Le=1.01, Pe=4.60, Ar=0.2 and$C_V =1.01$. For the $\Delta T^{*}_H$ greater than 0.3, the $$\mid$U$\mid$_{max}$is increased with increasing $\Delta$ T^{*}_H$ and decreasing the aspect ratio. For the aspect ratios ranging from 0.1 to 1.0, there is a direct and linear relationship between $$\mid$U$\mid$_{max}$ and $\sqrt{{\Delta}T^_H\;^{\ast}}$.A decrease in the aspect ratio destabilizes the convective flow and results in an increase of the magnitude of convection in the crystal growth reactor. The vertical gradient tends to destabilize the convective flow which leads to oscillations, whereas the horizontal gradient stabilizes the convection.

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Rock Slope Stability Analysis in Boeun Region Considering Properties of Discontinuities (불연속면의 특성은 고려한 보은지역 암반사면 안정성해석)

  • 이지수;박혁진;민경덕;구호본
    • Economic and Environmental Geology
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    • v.34 no.6
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    • pp.601-615
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    • 2001
  • The study area. Boeun-eup Boeun-kun, belongs to Ogchon metamorphic belt which is highly metamorphosed and consisted of complex geologic formations. Even though the geological structures and formations are complex and metamorphosed, the geological investigation and consideration are not enough and consequently the plane failure is occurred in the rock slope which was under construction on 1 : 0.5 gradient. This area is assessed as unstable and additional failure is possible by the discontinuity with same direction of failure surface. Therefore, the authors evaluate the slope stability using various analysis methods such as SMR, stereographic projection method, and the limit equilibrium analysis. In order to analyze stress redistribution and nonlinear displacement behavior caused by stress release, the authors conduct numerical analysis with UDEC and then the behavior of rock mass is analyzed after reinforcements are applied.

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Shape Design Optimization Using Isogeometric Analysis (등기하 해석법을 이용한 형상 최적설계)

  • Ha, Seung-Hyun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.3
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    • pp.233-238
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    • 2008
  • In this paper, a shape design optimization method for linearly elastic problems is developed using isogeometric approach. In many design optimization problems for practical engineering models, initial raw data usually come from a CAD modeler. Then, designers should convert the CAD data into finite element mesh data since most of conventional design optimization tools are based on finite element analysis. During this conversion, there are some numerical errors due to geometric approximation, which causes accuracy problems in response as well as design sensitivity analyses. As a remedy for this phenomenon, the isogeometric analysis method can be one of the promising approaches for the shape design optimization. The main idea of isogeometric approach is that the basis functions used in analysis is exactly the same as the ones representing the geometry. This geometrically exact model can be used in the shape sensitivity analysis and design optimization as well. Therefore the shape design sensitivity with high accuracy can be obtained, which is very essential for a gradient-based optimization. Through numerical examples, it is verified that the shape design optimization based on an isogeometic approach works well.

Three Dimensional Buckling Analysis of Continuous Welded Rail Track Under Thermal Load (온도하중을 고려한 장대레일 궤도의 3차원 좌굴 거동)

  • 강준석;임남형;양신추;강영종
    • Proceedings of the KSR Conference
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    • 2000.05a
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    • pp.471-478
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    • 2000
  • For many decades, the railway was constructed using tracks with jointed rails of relatively short lengths. The joints cause many drawbacks in the track and lead to signeficant maintenance cost. so, railroad engineers became interested in eliminating joints. Continuous welded rail(CWR) track has many advantages over the conventional jointed-rail track. but, in the case of the elimination of rail joints, it may cause the track to be suddenly buckled laterally by thermal loads. In this paper, firstly, 3-D CWR track model and CWRB program exactly considering the influence of tie are developed far linear static and buckling analysis using finite element method. Characteristics of CWR track model are using 7-dofs beam element as rail, Offset technic exactly considering centroid axies difference of track components(rail, rail-pad-fastener, tie), and Thermal gradient considering thermal difference of top flange and bottom flange in rail section.. second,, Through the static and linear buckling analysis by CWRB, Influences of various track components (rail, ballast, fastener, tie and so on..) on CWR track behavior and stability was characterized.

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Analysis of RTM Process Using the Extended Finite Element Method (확장 유한 요소 법을 적용한 RTM 공정 해석)

  • Jung, Yeonhee;Kim, Seung Jo;Han, Woo-Suck
    • Composites Research
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    • v.26 no.6
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    • pp.363-372
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    • 2013
  • Numerical simulation for Resin Transfer Molding manufacturing process is attempted by using the eXtended Finite Element Method (XFEM) combined with the level set method. XFEM allows to obtaining a good numerical precision of the pressure near the resin flow front, where its gradient is discontinuous. The enriched shape functions of XFEM are derived by using the level set values so as to correctly describe the interpolation with the resin flow front. In addition, the level set method is used to transport the resin flow front at each time step during the mold filling. The level set values are calculated by an implicit characteristic Galerkin FEM. The multi-frontal solver of IPSAP is adopted to solve the system. This work is validated by comparing the obtained results with analytic solutions. Moreover, a localization method of XFEM and level set method is proposed to increase the computing efficiency. The computation domain is reduced to the small region near the resin flow front. Therefore, the total computing time is strongly reduced by it. The efficiency test is made with a simple channel flow model. Several application examples are analyzed to demonstrate ability of this method.

Numerical Analysis and Experimental Investigation of Duct Flows of an MHD Propulsion System (사각형의 MHD 추진 덕트 내부유동에 관한 수치해석 및 실험적 연구)

  • J.W. Lee;S.J. Lee;C.M. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.83-93
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    • 1995
  • A numerical and experimental investigation on the flow characteristics in the rectangular duct of an MHD propulsion system has been carried out. In numerical analysis, three-dimensional, steady-state, viscous, incompressible electrically conducting fluid flow under the influence of uniformly applied magnetic and electric fields was treated using a finite-difference technique. It was found from the numerical study that when the Lorentz force is weak, the typical parabolic velocity profile under a laminar flow condition changes to an M shaped profile near the electrode region and that the pressure increases linearly from the inlet toward the outlet of the MHD duct under constant electro-magnetic field. In experiment, thrust of the MHD propulsion system can be controlled easily by varying electrode current. The measured pressure gradient along the MHD duct is proportional to the Lorentz force, which is in agreement with the numerical results.

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Separation of liquiritin, glycyrrhizic acid and glabridin from licorice by RP-HPLC (RP-HPLC를 이용한 감초에서 liquiritin, glycyrrhizic acid, glabridin의 분리)

  • Tian, Minglei;Yan, Hongyuan;Row, Kyung Ho
    • Analytical Science and Technology
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    • v.21 no.2
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    • pp.102-108
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    • 2008
  • Reversed-phase high performance liquid chromatography (RP-HPLC) was used for the simultaneous determination of liquiritin (LQ), glycyrrhizic acid (GA) and glabridin from licorice. An optimized run condition was selected with a binary gradient elution of methanol-water which ramped 35/65 to 80/20 (vol. %) in 0.0-8.0 min and a flow rate of 1.0 mL/min. A good linearity was obtained between 0.2 mg/mL and 1.0 mg/mL for LQ and GA, and 0.01 mg/mL-0.2 mg/mL for glabridin with the relative standard deviations less than 0.90% (n=5). The developed method was successfully applied to determination of the three components from licorice samples. The mean recoveries of three components are 80.79% for liquiritin, 89.71% for glycyrrhizic acid and 72.50% for glabridin.

Influences of Environmental Gradients on the Patterns of Vegetation Structure and Tree Age Distribution in the East Side of Cascade Range, Washington, USA (워싱턴주(州) 케스케이드산맥(山脈) 동(東)쪽 산림(山林)에서 환경구배(環境勾配)가 식생구조(植生構造)와 연령분포(年齡分布)에 미치는 영향(影響))

  • Woo, Su Young;Lee, Kyung Joon;Lee, Sang Don
    • Journal of Korean Society of Forest Science
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    • v.85 no.1
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    • pp.107-119
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    • 1996
  • To understand vegetation changes along environmental gradients in the natural forests in the east side of the Cascade Range in Washington state, USA, line transects were used to sample six different forest environments in the Wenatchee National Forest in the north-facing and south-facing sites at 975, 1280 and 1700m elevation. Data were analyzed using ordination by detranded correspondence analysis. Pseudotsuga menziesii was found as one of the dominant species on all the six sites regardless of elevation or aspect, while Pinus ponderosa was dominant on south slopes only. Abies grandis and A. lasiocarpa were dominant species on north slopes at elevations of 1280 and 1700m, respectively. Moisture, as it related to aspect, was identified as one of the most important environmental gradients for explaining the variation of vegetation types. On north-facing slopes, compared to south-facing slopes, where moisture was not as limiting and canopies could grow denser, probably, elevation or competitive interaction was more important. Species diversity tended to decrease with increasing environmental severity, with south slopes having less diversity than north slopes due to extended water stress and harsher temperature extremes on south slopes. The age structure on north-facing and south-facing slopes was different. Light intensity, moisture and climate were different between these two slopes. Large scale disturbances(e.g., big fire or insects) were major causes in changing age structure. Younger trees showed a closer relationship between size and age than adult trees. DBH values of shade intolerant species in south-facing slope were bigger than those of north-facing slope, which suggested that aspect of stands be the most important factor for age and size.

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