• 제목/요약/키워드: geometric stratification

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On Convergence of Stratification Algorithms for Skewed Populations

  • Park, In-Ho
    • 응용통계연구
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    • 제22권6호
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    • pp.1277-1287
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    • 2009
  • For stratifying skewed populations, the Lavall$\acute{e}$e-Hidiroglou(LH) algorithm is often considered to have a take-all stratum with the largest units and some take-some strata with the middle-size and small units. Related to its iterative nature have been reported some numerical difficulties such as the dependency of the ultimate stratum boundaries to a choice of initial boundaries and the slow convergence to locally-optimum boundaries. The geometric stratification has been recently proposed to provide initial boundaries that can avoid such numerical difficulties in implementing the LH algorithm. Since the geometric stratification does not pursuit the optimization but the equalization of the stratum CVs, the corresponding stratum boundaries may not be (near) optimal. This paper revisits these issues concerning convergence and near-optimality of optimal stratification algorithms using artificial numerical examples. We also discuss the formation of the strata and the sample allocation under the optimization process and some aspects related to discontinuity arisen from the finiteness of both population and sample as well.

열성층 온수저장시스템의 효율적 이용에 관한 실험적 연구 (Experimental Study on the Effective Use of Thermally Stratified Hot Water Storage System)

  • 박이동
    • 태양에너지
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    • 제13권2_3호
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    • pp.45-52
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    • 1993
  • 현열저장에서 열성층의 이점을 태양열 주택에 적용해보았다. 성층으로 인하여 에너지 입력의 열이용 효율이 증가되는 효과가 논의되었고, 실험과 시뮤레이션을 통하여 설명되었다. 성층을 촉진시키기 위하여 Distributor를 사용하였으며, 본 실험에서 Q=8 liter/min, ${\Delta}T=40^{\circ}C$일 때, 최대 90%의 열이용 효율을 얻을 수 있었다. 한편 성층을 촉진시키기 위하여 Distributor의 적은 구멍에서 나오는 유동(속도와 압력)이 같게 제작할 수만 있다면 그 이상의 열이용효율도 얻을 수 있음이 입증되었다.

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태양열의 성층축열과 주택이용에 관한 연구(성층축열) (Thermally Stratified Hot Water Storage)

  • 박이동
    • 태양에너지
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    • 제10권3호
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    • pp.3-12
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    • 1990
  • 본 실험연구에서는 탱크의 직경에 대한 높이의 비(H/D)가 3이고 유입 유량이 8LPM, 유입수의 온도와 기존 저장수와의 온도차, ${\Delta}T=30^{\circ}C$일때, 운동량교환을 최소화하여 가장 좋은 성층을 얻었고 또한 실험에서 사용한 유입구(Inlet Port)의 경우 수정 Richardson수(Modified Richardson Number), Ri가 0.004(Q=10LPM, ${\Delta}T=30^{\circ}C$) 이하의 값에서는 완전 혼합(Fully Mixing)이 발생하고 H/D가 작아질수록 혼합층의 두께($H^*/H$)가 증가하여 성층 축열에는 바람직하지 못하였다. 그리고 성층은 성층을 촉진시키기 위하여 Distributor를 사용했을 때가, Distributor를 사용하지 않은 유입구(Inlet Port)의 경우 보다 잘 형성되어 저장효율이 Distributor를 사용한 경우(Q=8LPM, ${\Delta}T=30^{\circ}C$, H/D=3)에 Distributor를 사용하지 않은 유입구(Inlet Port)의 최저효율 63%(Q=12LPM, ${\Delta}T=30^{\circ}C$, H/D=3인 경우)보다는 31% 정도, 최대효율 84%(Q=8LPM, ${\Delta}T=30^{\circ}C$, H/D=3인 경우)보다는 11% 정도 높은 95%까지 저장 효율을 증가시킬 수 있었다. 더 나아가서 단면이 균일한 원형 Distributor(A=D=Constant)의 경우에, 유량이 8LPM인 경우에 관내의 압력차가 작아 부분혼합(Partial Mixing)이 감소하여 안정된 성층을 얻을 수 있었다. 그리고, Distributor의 직경을 다음식과 같이 $$\frac{D}{D_L}=(\frac{x}{L})^{1/2}(1+\frac{fL}{2D})-\frac{fx}{2D_L}$$ 길이에 대하여 변화시켜 Distributor를 제작함으로써, 보다 안정된 열성층과 높은 열저장 효율을 얻을 수 있을 것으로 예상한다.

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The effect of field-line twist on the dynamic and electric current structures of emerging magnetic field on the Sun

  • An, Jun-Mo;Lee, Hwan-Hee;Kang, Ji-Hye;Magara, Tetsuya
    • 천문학회보
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    • 제36권2호
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    • pp.102.1-102.1
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    • 2011
  • In this study we use three-dimensional magnetohydrodynamic simulations to investigate how the dynamic state of emerging magnetic field is related to the twist of field lines. Emerging magnetic field forms a magnetic structure on the Sun where various kinds of activity such as solar flares, jets, and coronal mass ejections are observed. To understand the physical mechanism for producing such activity, we have to know the dynamic nature of this structure. Since flares are the manifestation of rapidly dissipating electric current in the corona, we also investigate the distribution of current density inside the structure and examine how it depends on the field-line twist. To demonstrate the dynamic structure of emerging magnetic field, we focus on the factors characterizing the geometric property and stratification of emerging magnetic field, such as the curvature of field line and the scale height of field strength. These two factors show that emerging field forms a two-part structure in which the central part is close to a force-free state while the outer marginal part is in a fairly dynamic state where magnetic pressure force is dominant. We discuss how the field-line twist affects the two-part structure and also explain a possible relation between electric current structure and sigmoid observed in a preflare phase.

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An Application of K-$\varepsilon$ Turbulence Model for Predicting Effect of a Rectanguler Obstacle with Heat Flux in a Solt-Ventilated Enclosure on Air Flow

  • 최홍림;김현태;김우중
    • 한국농공학회지
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    • 제34권E호
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    • pp.30-44
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    • 1992
  • A modification of the TEACH-like computer program based on the k-$\varepsilon$ turbulence transport was applied for predicting air mixing patterns and temperature distributions in a rectangular, slot-ventilated enclosure having obstructions ; a rectangular obstacle with heat flux, solid walls separates the passage and the pig pens, and purlins beneath the ceiling. Air flow patterns were calculated for the cases with and without the purlin, extending 300mm beneath the ceiling. Comparisons of prediction data of Randall & Battams(1976) showed air flow pattern predicted well for the case without the purlin. Heat was accumulated at the corner of the left side of the solid wall and the right-upper region of the simulated pigs. However the air distribution pattern was completely different from data for the case with the purlin. The deviation from the observation may be attributed to the difference of the geometric configuation. Exploring the cause of the deviation should be conducted in a further study. Temperature stratification was also observed due to incomplete mixing. The obstruction in the route of the inlet air jet at inlet should be avoided since most of kinetic energy dissipates at the abstacle duet to impingement.

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Modeling of Liquid Entrainment and Vapor Pull-Through in Header-Feeder Pipes of CANDU

  • Cho Yong Jin;Jeun Gyoo Dong
    • Nuclear Engineering and Technology
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    • 제36권2호
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    • pp.142-152
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    • 2004
  • The liquid entrainment and vapor pull-through offtake model of RELAP5/MOD3 had been developed for SBLOCA (Small Break Loss of Coolant Accident). The RELAP5/MOD3 model for horizontal volumes accounts for the phase separation phenomena and computes the flux of mass and energy through a branch when stratified conditions occur in the horizontal pipe. In the case of CANDU reactor, this model should be used in the coolant flow of 95 feeders connected to the reactor header component under the horizontal stratification in header. The current RELAP5 model can treat the only 3 directions junctions; vertical upward, downward, and side oriented junctions, and thus improvements for the liquid entrainment and vapor pull-through model were needed for considering the exact angles. The RELAP5 off-take model was modified and generalized by considering the geometric effect of branching angles. Based on the previous experimental results, the critical height correlation was reconstructed by use of the branch line connection angle and validation analyses were also performed using SET. The new model can be applied to vertical upward, downward and angled branch, and the accuracy of the new correlations is more improved than that of RELAP5.