• 제목/요약/키워드: Periodic function

검색결과 436건 처리시간 0.028초

High Frequency Variation of Low Water Temperature due to Arctic Oscillation Around the Western and Southern Coast of Korea During Winter 2017/2018

  • Han, In-Seong;Lee, Joon-Soo;Kim, Ju-Yeon;Hong, Ji-Yeon
    • 해양환경안전학회지
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    • 제25권3호
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    • pp.328-333
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    • 2019
  • During the winter of 2017/2018, significantly low water temperatures were detected around the western and southern coasts of Korea (WSCK). In this period, sea surface temperature (SST) in the Korea Waters was about $2^{\circ}C$ lower than mean temperature. Using the real-time observation system, we analyzed the temporal variation of SST during this period around the western and southern coasts. Low water temperature usually manifested over a period of about 10 ~ 20 days. The daily Arctic oscillation index was also similarly detectable with the variation of SST. From the cross-correlation function, we compared two periodic variations, which were SST around the WSCK and the Arctic oscillation index. The cross correlation coefficients between both variations were approximately 0.3 ~ 0.4. The time lag of the two time series was about 6 to 7 days. Therefore, significantly low water temperatures during winter in the Korean coastal areas usually became detectable 6 to 7 days after the negative peak of Arctic oscillation.

Tailoring fabric geometry of plain-woven composites for simultaneously enhancing stiffness and thermal properties

  • Zhou, Xiao-Yi;Wang, Neng-Wei;Xiong, Wen;Ruan, Xin;Zhang, Shao-Jin
    • Steel and Composite Structures
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    • 제42권4호
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    • pp.489-499
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    • 2022
  • This paper proposes a numerical optimization method to design the mesoscale architecture of textile composite for simultaneously enhancing mechanical and thermal properties, which compete with each other making it difficult to design intuitively. The base cell of the periodic warp and fill yarn system is served as the design space, and optimal fibre yarn geometries are found by solving the optimization problem through the proposed method. With the help of homogenization method, analytical formulae for the effective material properties as functions of the geometry parameters of plain-woven textile composites were derived, and they are used to form the inverse homogenization method to establish the design problem. These modules are then put together to form a multiobjective optimization problem, which is formulated in such a way that the optimal design depends on the weight factors predetermined by the user based on the stiffness and thermal terms in the objective function. Numerical examples illustrate that the developed method can achieve reasonable designs in terms of fibre yarn paths and geometries.

ON CHOWLA'S HYPOTHESIS IMPLYING THAT L(s, χ) > 0 FOR s > 0 FOR REAL CHARACTERS χ

  • Stephane R., Louboutin
    • 대한수학회보
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    • 제60권1호
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    • pp.1-22
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    • 2023
  • Let L(s, χ) be the Dirichlet L-series associated with an f-periodic complex function χ. Let P(X) ∈ ℂ[X]. We give an expression for ∑fn=1 χ(n)P(n) as a linear combination of the L(-n, χ)'s for 0 ≤ n < deg P(X). We deduce some consequences pertaining to the Chowla hypothesis implying that L(s, χ) > 0 for s > 0 for real Dirichlet characters χ. To date no extended numerical computation on this hypothesis is available. In fact by a result of R. C. Baker and H. L. Montgomery we know that it does not hold for almost all fundamental discriminants. Our present numerical computation shows that surprisingly it holds true for at least 65% of the real, even and primitive Dirichlet characters of conductors less than 106. We also show that a generalized Chowla hypothesis holds true for at least 72% of the real, even and primitive Dirichlet characters of conductors less than 106. Since checking this generalized Chowla's hypothesis is easy to program and relies only on exact computation with rational integers, we do think that it should be part of any numerical computation verifying that L(s, χ) > 0 for s > 0 for real Dirichlet characters χ. To date, this verification for real, even and primitive Dirichlet characters has been done only for conductors less than 2·105.

Thermo-hydrodynamic investigation into the effects of minichannel configuration on the thermal performance of subcooled flow boiling

  • Amal Igaadi;Rachid El Amraoui;Hicham El Mghari
    • Nuclear Engineering and Technology
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    • 제56권1호
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    • pp.265-274
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    • 2024
  • The current research focuses on the development of a numerical approach to forecast strongly subcooled flow boiling of FC-72 as the refrigerant in various vertical minichannel shapes for high-heat-flux cooling applications. The simulations are carried out using the Volume of Fluid method with the Lee phase change model, which revealed some inherent flaws in multiphase flows that are primarily due to an insufficient interpretation of shearlift force on bubbles and conjugate heat transfer against the walls. A user-defined function (UDF) is used to provide specific information about this noticeable effect. The influence of shape and the inlet mass fluxes on the flow patterns, heat transfer, and pressure drop characteristics are discussed. The computational results are validated with experimental measurements, where excellent agreements are found that prove the efficiency of the present numerical model. The findings demonstrate that the heat transfer coefficient decreases as the mass flux increases and that the constriction design improves the thermal performance by 24.68% and 10.45% compared to the straight and expansion shapes, respectively. The periodic constriction sections ensure good mixing between the core and near-wall layers. In addition, a slight pressure drop penalty versus the thermal transfer benefits for the two configurations proposed is reported.

도시 요일장의 형성과 이용 및 기능에 관한 연구 (A Study on the Existence, Marketing Behavior and Function of Urban Weekly Markets in Taegu City)

  • 이재하;박소영
    • 한국지역지리학회지
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    • 제2권2호
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    • pp.113-131
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    • 1996
  • 본 논문은 최근에 대도시에 출현한 새로운 정기시장인 도사 요일장의 형성원인, 시장이용자(상인과 소비자)의 속성과 이용행태, 그리고 시장의 기능 등을 밝히기 위하여, 대구시에 개설되고 있는 4곳의 요일장(성서월요장, 칠곡수요장, 시지목요장, 칠곡금요장)을 대상으로 양적이고 질적인 분석을 하였다. 대구의 도시 요일장은 칠곡농협의 금요장에서 본래 기원하였으나, 그것이 본격적으로 형성되고 다른 장소로 확산 발전된 것은 생계를 목적으로 소자본으로 장사하려는 상인(이동상인)들이 중합시장이 없는 신개발 아파트 주거지역에 요즘의 생활리듬(1주일 주기)에 맞는 정기시장을 개설하려고 노력하였기 때문인 것으로 해석된다. 요일장음 이용하는 상인과 소비자의 계속성과 이용행태를 분석 논의하고, 이를 기초로 요일장의 시장기능을 파악해 본 결과, 요일장은 수직적 교환기능이 강하고, 상업기회와 영세민에게 생계유지기능을 제공하며, 농민의 소득중대에 기여하고 있을 뿐만 아니라, 인근주민(소비자)들에게 종합식품 시장으로서 중요한 기능도 수행하고 있는 것으로 밝혀졌다.

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Thermal-hydraulic behaviors of a wet scrubber filtered containment venting system in 1000 MWe PWR with two venting strategies for long-term operation

  • Dong, Shichang;Zhou, Xiafeng;Yang, Jun
    • Nuclear Engineering and Technology
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    • 제52권7호
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    • pp.1396-1408
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    • 2020
  • Filtered containment venting system (FCVS) is one of the severe accident mitigation systems designed to release containment pressurization to maintain its integrity. The thermal-hydraulic behaviors in FCVSs are important since they affect the operation characteristics of the FCVS. In this study, a representative FCVS was modeled by RELAP5/Mod3.3 code, and the Station BlackOut (SBO) was chosen as an accident scenario. The thermal-hydraulic behaviors of an FCVS during long-term operation with two venting strategies (open-and-close strategy, open-and-non-close strategy) and the sensitivity analysis of important parameters were investigated. The results show that the FCVS can operate up to 250 h with a periodic open-and-close strategy during an SBO. Under the combined effects of steam condensation and water evaporation, the solution inventory in the FCVS increases during the venting phase and decreases during the intermission phase, showing a periodic pattern. Under this condition, the appropriate initial water level is 3-4 m; however, it should be adjusted according to the environment temperature. The FCVS can accommodate a decay heat power of 150-260 kW and may need to feed water for a higher decay heat power or drain water for a lower decay heat power during the late phase. The FCVS can function within an opening pressure range from 450 kPa to 500 kPa and a closing pressure range between 250 kPa and 350 kPa. When the open-and-non-close strategy is adopted, the solution inventory increases quickly in the early venting phase due to steam condensation and then decreases gradually due to the evaporation of water; drying-up may occur in the late venting phase. Decreasing the venting pipe diameter and increasing the initial water level can mitigate the evaporation of the scrubbing solution. These results are expected to provide useful references for the design and engineering application of FCVSs.

불확실한 공정과 불량품 처리체계를 포함하는 공정-저장조 망 최적설계 (Optimal Design of Batch-Storage Network Including Uncertainty and Waste Treatment Processes)

  • 이경범;이의수
    • Korean Chemical Engineering Research
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    • 제46권3호
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    • pp.585-597
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    • 2008
  • 본 연구의 목적은 가동 시간과 생산량에 있어서 무작위 변동을 일으키는 공정 시스템에서 최종 제품의 수요를 만족하는 공정-저장조 망구조의 최적용량을 결정하는 문제의 해석적인 해를 유도하는 것이다. 여기서 논의되는 공장의 구조는 회분식 공정과 저장조가 병렬 또는 직렬로 연결된 망구조를 구성하고 있다. 생산공정은 다수의 원료물질을 다수의 제품으로 일정 비율로 전환한다. 최종제품의 수요는 주문주기와 물량이 무작위 변동을 일으킨다. 일부 생산공정은 생산량에 있어서 무작위 변동을 일으키며, 오염된 물질은 재생공정이나 폐기과정을 거쳐서 처리된다. 다른 공정들은 모두 가동시간이 무작위로 변한다. 최적화의 목적함수는 총비용을 최소화하는 것인데, 여기서 총비용은 준비비와 재고 유지비 그리고 공정과 저장조의 자본비용으로 구성되어 있다. 새로운 생산 재고 분석도구인 사각파 모형은 무작위 흐름의 상한값과 하한값을 계산하는 도형적 방법을 제공한다. 이 모형의 장점은 공정과 저장조 사이의 무작위 흐름을 사실적으로 묘사하면서도 간단한 해석적인 해를 제공하는데 있다. 결과적으로 계산량이 획기적으로 줄어든다.

선박용 디젤엔진 추진축에서 빙 충격 토크 기진에 의한 과도 비틀림 진동 응답 (Transient Torsional Vibration Response due to Ice Impact Torque Excitation on Marine Diesel Engine Propulsion Shafting)

  • 로날드디.바로;엄기탁;이돈출
    • 한국소음진동공학회논문집
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    • 제25권5호
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    • pp.321-328
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    • 2015
  • 최근 극지 선박의 수요가 늘어나고 있고 IACS(국제선급연합)에서는 대빙 선박에 대한 새로운 기준이 적용되고 있다. 이 선박에서는 추진시스템에 대한 대빙 설계 기준으로 빙 충격 토크는 프로펠러 날개 수를 중심으로 한 조화 함수로 규정되어 있다. 그러나 실 상황에서는 이러한 주기적인 기진 토크보다는 불규칙한 빙의 충격 토크가 발생할 수 있는 확률이 오히려 크다. 이 논문에서는 비틀림진동이 비교적 큰 6개의 실린더를 갖는 디젤엔진을 주 기관으로 한 추진시스템의 안정성을 검토하고자 한다. 특히 불규칙한 빙 충격 토크와 디젤엔진에서 발생하는 진동토크를 동시에 고려하여 비틀림진동의 공진점을 통과할 과도 비틀림 진동 응답을 이론적으로 해석하였다. 여기서 빙 충격토크는 빙이 프로펠러에 부딪칠 때를 여러 유형별로 가상하여 선급에서 규정된 방법에 의해서 구하였다. 전체적인 시스템의 과도응답 해석은 직접적분방법의 하나인 뉴마크(Newmark) 법을 이용하였다.

패턴인식 알고리즘을 적용한 임플란트 주변골 흡수 분석 (Marginal Bone Resorption Analysis of Dental Implant Patients by Applying Pattern Recognition Algorithm)

  • 정민기;김성민;김명주;이종호;명훈;김명진
    • Maxillofacial Plastic and Reconstructive Surgery
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    • 제35권3호
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    • pp.167-173
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    • 2013
  • Purpose: The aim of this study is to analyze the series of panoramic radiograph of implant patients using the system to measure peri-implant crestal bone loss according to the elapsed time from fixture installation time to more than three years. Methods: Choose 10 patients having 45 implant fixtures installed, which have series of panoramic radiograph in the period to be analyzed by the system. Then, calculated the crestal bone depth and statistics and selected the implant in concerned by clicking the implant of image shown on the monitor by the implemented pattern recognition system. Then, the system recognized the x, y coordination of the implant and peri-implant alveolar crest, and calculated the distance between the approximated line of implant fixture and alveolar crest. By applying pattern recognition to periodic panoramic radiographs, we attained the results and made a comparison with the results of preceded articles concerning peri-implant marginal bone loss. Analyzing peri-implant crestal bone loss in a regression analysis periodic filmed panoramic radiograph, logarithmic approximation had highest $R^2$ value, and the equation is as shown below. $y=0.245Logx{\pm}0.42$, $R^2=0.53$, unit: month (x), mm (y) Results: Panoramic radiograph is a more wide-scoped view compared with the periapical radiograph in the same resolution. Therefore, there was not enough information in the radiograph in local area. Anterior portion of many radiographs was out of the focal trough and blurred precluding the accurate recognition by the system, and many implants were overlapped with the adjacent structures, in which the alveolar crest was impossible to find. Conclusion: Considering the earlier objective and error, we expect better results from an analysis of periapical radiograph than panoramic radiograph. Implementing additional function, we expect high extensibility of pattern recognition system as a diagnostic tool to evaluate implant-bone integration, calculate length from fixture to inferior alveolar nerve, and from fixture to base of the maxillary sinus.

수중초음속제트의 불안정성에 대한 실험적 고찰 (Experimental Observation of Instability of Supersonic Submerged Jets)

  • 정재권;이대훈;차홍석;박승오;권세진
    • 한국추진공학회지
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    • 제6권2호
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    • pp.45-52
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    • 2002
  • 2차원 수중 초음속 제트의 구조 및 유동 불안정성에 대한 실험적 연구를 수행하였다. 제트의 구조 및 시간에 따른 변화를 관찰하기 위하여 고속 디지털 카메라 촬영과 정압을 측정하였다. 공기 유량의 변화에 따른 제트의 구조를 초고속 촬영하여 이로부터 얻어진 장면에서 확산각을 구했다. 일련의 제트의 주기적인 특성에 따른 구조를 관찰하였고 불안정성의 초당 주기 발생 횟수가 5-6회 정도로 측정되었다. 세 가지 특성 길이 $L_1$, $L_2$, $L_3$를 정의하였다. $L_1$은 불안정적 주기가 발생할 경우 최대제트의 폭 스케일, $L_2$는 2차적인 유동이 유입되는 곳의 제트의 폭 스케일, $L_3$는 노즐 출구로부터 2차적으로 유도된 유동이 유임되는 곳까지의 길이다. $L_1$/$L_2$는 전압 즉, 탱크 압력이 증가함에 따라 감소하는 경향성을 가지고 있고 $L_3$는 전압이 증가함에 따라 증가하는 경향성을 띄었다. 시간에 따른 정압 변화를 측정하였으며 FFT결과를 통해서 불안정성으로 인해 발생하는 주파수와 유사한 값인 5Hz에서 고유진동이 발생하는 것을 확인하였다.