• 제목/요약/키워드: Fixed Geometry

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THE CAYLEY-BACHARACH THEOREM VIA TRUNCATED MOMENT PROBLEMS

  • Yoo, Seonguk
    • Korean Journal of Mathematics
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    • 제29권4호
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    • pp.741-747
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    • 2021
  • The Cayley-Bacharach theorem says that every cubic curve on an algebraically closed field that passes through a given 8 points must contain a fixed ninth point, counting multiplicities. Ren et al. introduced a concrete formula for the ninth point in terms of the 8 points [4]. We would like to consider a different approach to find the ninth point via the theory of truncated moment problems. Various connections between algebraic geometry and truncated moment problems have been discussed recently; thus, the main result of this note aims to observe an interplay between linear algebra, operator theory, and real algebraic geometry.

백드래프트의 중력흐름에 미치는 구획실 내부 초기조건 및 개구부 형상의 영향 (Effects of Initial Condition and Opening Geometry of a Compartment on the Gravity Current in the Backdraft)

  • 박지웅;오창보;한용식;도규형
    • 한국안전학회지
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    • 제30권6호
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    • pp.18-25
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    • 2015
  • Computational study of a gravity current prior to the backdraft was conducted using fire dynamic simulator (FDS). Various initial conditions of mixture compositions and compartment temperature as well as four opening geometries (Horizontal, Door, Vertical, and Full opening) were considered to figure out their effects on the gravity current. The density difference ratio (${\beta}$) between inside and outside of compartment, the gravity current time ($t_{grav}$) and velocity ($v_{grav}$), and non-dimensional velocity ($v^*$) were introduced to quantify the flow characteristics of the gravity current. Overall fluid structure of the gravity current at the fixed opening geometry showed similar development process for different ${\beta}$ conditions. However, $t_{grav}$ for entering air to reach the opposed wall to the opening geometry increased with ${\beta}$. Door, Vertical, and Horizontal openings where openings are attached on the ground showed similar development process of the gravity current except for Horizontal opening, which located on the middle of the opening wall. The magnitude of $v_{grav}$ at fixed ${\beta}$ was, from largest to smallest, Full > Vertical > Door > Horizontal, but it depended on both the size and location of the opening. On the other hand, $v^*$ was found to be independent to ${\beta}$, and only depended on the geometry of the opening.

2차원 초음속 노즐의 과대팽창 유동 특성 (Flow Characteristics of 2 Dimensional Supersonic Nozzle in Overexpanded Conditions)

  • 김성돈;정인석;최정열
    • 한국추진공학회지
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    • 제6권2호
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    • pp.1-7
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    • 2002
  • 추진기관은 노즐을 통해 추력을 발생하며 축소-확대 형상의 초음속 노즐에서는 노즐의 설계 팽창비가 내부 유동의 전압력과 배압의 압력비보다 매우 클 때 충격파의 발생과 함께 경계층 박리를 유발한다. 노즐 내부에서의 충격파 발생과 유동의 박리는 주어진 유동의 압력비에 가장 적합한 노즐형상을 구현하는 것으로 실제의 구조적 노즐의 형상보다 짧은 노즐에서 나타나는 유동과 같은 현상을 보인다. 수치 해석적 방법으로 고정된 형상의 2차원 노즐 내부의 충격파와 경계층 박리 현상에 관한 연구를 수행하였고 Hunter가 행한 실험적 연구와 비교하였다. 수치해석은 TVD 기법을 이용한 압축성 유체 해석 코드와 SST 2방정식 난류 모델을 이용하여 수행되었다. 낮은 압력비에서의 충격파와 경계층과의 상호작용에 의한 $\lambda$형태의 충격파 시스템을 잘 보여주고 있고 추력 값의 비교를 통해 고정된 형상의 노즐을 이용하여 필요한 운용범위를 충족할 수 있음을 알 수 있었다.

Can-Flange 성형에서 금형형상에 따른 소재 유동특성 (The Material Flow according to Die Geometry in Can-Flange Forming)

  • 고병두;이하성
    • Design & Manufacturing
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    • 제6권2호
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    • pp.42-47
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    • 2012
  • The paper deals with an analysis of an extrusion process with a divided material flow in a combined radial - backward extrusion. We have discussed the influences of tool geometry such as punch nose angle, relative gap height, die corner radius on material flow and surface expansion into can and flange region. To analyse the process, numerical simulations by the FEM and experiment by physical modeling using Al alloy as a model material have been performed. Based on the results, the influence of fixed parameters on the distribution of divided material flow and surface expansion are obtained.

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韓國東岸 沿岸線形態가 湧昇에 미치는 影響에 관한 數値實驗 (A Numerical Experiment of the effect of Coastline Geometry on the Upwelling along the East Coast of Korea)

  • 성영호
    • 한국해양학회지
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    • 제19권1호
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    • pp.24-30
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    • 1984
  • 한국 동해안을 대상으로하여 바람에 의한 湧昇을 數値실험을 통하여 관찰 하였다. 本考에서는 연안선의 형태에 따르는 효과만을 고찰하였으며 실제로 東海岸 에서 관측되어 온 결과와 결부시키려고 하였다. 실제와 近似한 조사한 연안선을 보다 효율적으로 만들 기 위하여 有限酵素法을 도입하였다. 실험결과 몇 개의 湧昇域이 發見되었으며 그중 한 개는 東南海域에서 자주 관측되어 온 冷水域임이 밝혀졌다.

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Uncertainty Minimization in Quantitative Electron Spin Resonance Measurement: Considerations on Sampling Geometry and Signal Processing

  • Park, Sangeon;Shim, Jeong Hyun;Kim, Kiwoong;Jeong, Keunhong;Song, Nam Woong
    • 한국자기공명학회논문지
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    • 제24권2호
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    • pp.53-58
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    • 2020
  • Free radicals including reactive oxygen species (ROS) are important chemicals in the research area of biology, pharmaceutical, medical, and environmental science as well as human health risk assessment as they are highly involved in diverse metabolism and toxicity mechanisms through chemical reactions with various components of living bodies. Electron spin resonance (ESR) spectroscopy is a powerful tool for detecting and quantifying those radicals in biological environments. In this work we observed the ESR signal of 2,2,6,6-Tetra-methyl piperidine 1-oxyl (TEMPO) in aqueous solution at various concentrations to estimate the uncertainty factors arising from the experimental conditions and signal treatment methods. As the sample position highly influences the signal intensity, dual ESR tube geometry (consists of a detachable sample tube and a position fixed external tube) was adopted. This type of measurement geometry allowed to get the relative uncertainty of signal intensity lower than 1% when triple measurements are averaged. Linear dependence of signal intensity on the TEMPO concentration, which is required for the quantification of unknown sample, could be obtained over a concentration range of ~103 by optimizing the signal treatment method depending on the concentration range.

Continuous straight archwire에 의하여 발생하는 force system의 분석 (Analysis of force system developed by continuous straight archwire)

  • 최광철;손병화
    • 대한치과교정학회지
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    • 제26권3호
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    • pp.281-290
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    • 1996
  • Edgewise bracket에 continuous straight archwire를 장착 했을 때 각 bracket에 발생 하는 force system은 statically indeterminate system이기 때문에 임상적으로 측정이 어렵다. 이에 본 연구는 linear beam theory를 도입하여 full arch에 straight wire가 장착된 경우 geometry(a/b), 재질, 단면의 모양, interbracket distance에 관계없이 발생 가능한 모든 상태를 설명할 수 있는 식을 유도하고 일례의 분석을 통하여 다음과 같은 결과를 얻었다. 1. Bilateral fixed beam의 양끝에서 발생하는 force system을 알 수 있는 계산식을 얻었다. 2. 이를 이용하여 continuous straight archwire가 장착된 경우 각 치아에 발생하는 force system을 알 수 있다. 3. Continuous straight archwire장착시 영구변형의 발생여부와 발생위치를 예측 할 수 있다.

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레인지 후드용 시로코 홴의 성능 향상을 위한 연구 (Numerical study on the Performance Improvement of the Sirocco Fan in a Range Hood)

  • 박상태;최영석;박문수;김철호;권오명
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2004년도 유체기계 연구개발 발표회 논문집
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    • pp.572-577
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    • 2004
  • This paper presents numerical study on the performance improvement of the sirocco fan in a range hood. The performance of sirocco fan means a higher flowrate, a higher static pressure and a lower required motor power in a fixed geometry constraint. Various impeller geometric parameters, such as blade profile, blade diameter, blade thickness profile and blade exit angle, were investigated by numerically and the results were compared with each other to know the effects on the performance. In this approach, the volute geometry were fixed with the original shape. The numerical results show that the blade profile with airfoil shape and small exit blade thickness increases the performance. The blade exit angle shows optimum angle within a varied range. The efficiency of the optimized exit angle was about $10\%$ higher than the base blade exit angle and the static pressure was about $28\%$ higher at the flow coefficient 0.22.

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Submerged Membrane Beakwaters II: A Rahmen Type System Composed of Horizontal and Vertical Membranes

  • 기성태
    • 한국해안해양공학회:학술대회논문집
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    • 한국해안해양공학회 2004년도 학술발표논문집 Proceedings of Coastal and Ocean Engineering in Korea
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    • pp.150-159
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    • 2004
  • In the present paper, the hydrodynamics properties of a Rahmen type flexible porous breakwater with dual fixed-pontoon system interacting with obliquely or normally incident small amplitude waves are numerically investigated. This system is composed of dual vertical porous membranes hinged a the side edges of dual fixed pontoons, and a submerged horizontal membrane that both ends are hinged at the steel frames mounted pontoons. The dual vertical membranes are extended downward and hinged at bottom steal frame fixed into seabed. The wave blocking and dissipation mechanism and its effects of permeability, Rahmen type membrane and pontoon geometry, pre-tensions on membranes, relative dimensionless wave number, and incident wave headings are thoroughly examined.

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