• Title/Summary/Keyword: 수치확산

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Numerical Simulations of Nonlinear Behaviors of Pulsating Instabilities in Counterflow Diffusion Flames (대향류 확산화염에서 맥동 불안정성의 비선형 거동에 대한 수치해석)

  • Lee, Su-Ryong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.9
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    • pp.859-866
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    • 2010
  • Nonlinear dynamics of pulsating instability-diffusional-thermal instability with Lewis numbers sufficiently higher than unity-in counterflow diffusion flames, is numerically investigated by imposing a Damkohler number perturbation. The flame evolution exhibits three types of nonlinear behaviors, namely, decaying pulsating behavior, diverging behavior (which leads to extinction), and stable limit-cycle behavior. The stable limit-cycle behavior is observed in counterflow diffusion flames, but not in diffusion flames with a stagnant mixing layer. The critical value of the perturbed Damkohler number, which indicates the region where the three different flame behaviors can be observed, is obtained. A stable simple limit cycle, in which two supercritical Hopf bifurcations exist, is found in a narrow range of Damkohler numbers. As the flame temperature is increased, the stable simple limit cycle disappears and an unstable limit cycle corresponding to subcritical Hopf bifurcation appears. The period-doubling bifurcation is found to occur in a certain range of Damkohler numbers and temperatures, which leads to extend the lower boundary of supercritical Hopf bifurcation.

Estimation of Suspended Solids Concentration Caused by Stream Bed Excavation Works through the Application of the Fickian Diffusion Model (Fick 확산 모형을 이용한 하상 굴착 공사로부터의 부유물질 농도 산정)

  • An, Myeong-Gil
    • Journal of Korea Water Resources Association
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    • v.30 no.6
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    • pp.621-628
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    • 1997
  • Excavation works on stream beds have been done for various reasons including aggregate collection, sediment dredging, bridge constructions, or laying pipes under the ground. These activities may cause significant loadings of SS (suspended solids) resulting in water pollution and other detrimental effects to the surrounding environment. This research investigates application potential of a fickian diffustion model, derived from two dimensional advection-diffusion equation through some simplifying assumptions, as a planning tool for the estimation of SS loadings from excavation works and evaluation fo pollution prevention measures in case that sophisticated numerical simulation models are not applicable due to various practical reasons. Through a case study of the Juncheon stream in the Donghae City on the Kangwondo Province, this study demonstrates applicability of the fickian diffustion model as a practical method for the preliminary estimation of Ss loadings from excavation works and evaluation of performance of fabrics made of synthetic fiber for the reduction of downstream SS concentration with deficient field data.

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Diffusion Weighted Imaging in Musculoskeletal MRI: Analysis on Optimal Number of Excitations Providing better Differentiation of Maglignant Tumor (악성종양의 감별진단을 위한 근골격의 확산강조영상 검사 시 최적의 여기횟수)

  • Choi, Kwan-Woo
    • The Journal of the Korea Contents Association
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    • v.18 no.8
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    • pp.338-344
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    • 2018
  • The purpose of this study was to determine the optimal number of excitations(NEX) of diffusion weighted imaging(DWI) which is clinically useful in patients with musculoskeletal diseases while the scan time is relatively long. In this study, 30 patients underwent knee MRI using diffusion weighted image sequence using b values targeted on the bone and muscle. The NEX were varied from 1 to 5 and the ADC values were measured and analyzed. As a result of the study, 4 NEX and 2 NEX showed an statistically identical effect with the existing NEX on the bone and muscle diffusion weighted images, respectively. Also, it proved that the scan time could be significantly reduced by 21.2 % and 59.6 % compared to the established NEX which meant the optimal NEX could replace the existing NEX. In conclusion, applying the optimal NEX on the musculoskeletal bone and soft tissue DWI could improve the problems caused by the long scan time.

Prediction of Solute Transport in Natural River Using RAM4 (RAM4모형을 이용한 자연하천에서의 확산거동 예측)

  • Jung, Sung-Tae;Lyu, Si-Wan;Kim, Young-Do;Seo, Il-Won
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.2046-2050
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    • 2008
  • 현재까지 우리나라에서 주로 사용되고 있는 2차원 흐름 해석 모형은 미연방 도로국(U.S. Federal Highway Administration)과 연계하여 Brigham Young University에서 개발된 SMS(Surface-Water Modeling System)모형이다. SMS모형 중 이송 확산 모형으로는 RMA-4가 포함되나 이 모형은 최신 수치기법을 반영하지 못하는 등의 문제점들로 인해 실제 물리적 현상을 모의에 있어서 한계를 가지고 있다. 따라서 물리적 현상에 대한 적절한 모의를 위해 여러 개선과정을 거쳐 RAM4가 개발되었다. 본 연구를 위해 점적분 유사량 측정기(P-61)와 대하천 유속계를 사용하여 대상구간의 SS자료 및 유속의 2차원적 분포를 취득하였고, SMS의 Pre-processing 기능을 이용하여 유한요소망을 구성하였다. 구성된 유한요소망과 흐름모형인 RMA-2를 사용하여 대상구간의 유속장을 모의하였다. 이때 모의된 유속장과 현장에서 취득한 유속분포를 비교하여 RMA-2를 검증하였고, SS자료와 RAM4로 모의된 농도장을 비교하여 RAM4를 검증하였다. 검증된 두 모형을 바탕으로 대상 구간에서 다량의 점오염원이 투입되는 가상의 시나리오를 선정 및 적용하여 오염물 이송 및 확산 거동에 대해 살펴보았다. 본 연구의 대상 하천은 형산강으로써, 유역 내에 경주시와 포항시가 위치하고 이 두 도시를 잇는 산업도로가 형산강 본류 위를 지나고, 또한 두 도시를 관류하고 있어 다른 국가하천과 마찬가지로 지속적이고 안정적인 수질관리가 필요한 하천이다, 모의구간은 형산강 본류 중 No. 68(안강 수위관측소 상류 약 350 m)에서 No. 48(부조 수위관측소 하류 약 200 m)까지로서, 약 4.3 km 구간을 모의 하였다. 모의구간 시점에서 약 0.35 km 지점에 산업도로의 일부분인 강동대교, 0.98 km 지점에 왕신천 유입, 1.35 km 지점에 수중보, 1.8 km 지점에 국당1교, 3.2 km 지점에 국당2교가 위치하며 구간 내에는 만곡 및 사행, 특히 수중보 전 후로 사주가 발달해있어 2차원 흐름 및 이송확산 모의에 적합하다고 판단되었다.

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Analysis of Channel Capacity for Spread Spectrum Watermarking Systems (대역확산 워터마킹 시스템의 채널용량 분석)

  • Kim, Joo-Chan;Bae, Jung-Nam;Kim, Jin-Young
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.5C
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    • pp.439-444
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    • 2010
  • In this paper, we derive and analyze the channel capacity of the spread spectrum watermarking (SSW) system as an information-theoretic point of view in closed-form approximation formula in order to analyze the effect of the wireless multipath/shadowing channel. It is important to analyze the channel capacity to transmit an additive data through existing wireless channel by the SSW system. From the results, we confirm that the channel capacity of the SSW system can be determined by the HWR, WNR, PN length and host sampling frequency. Also, we verified that the variation of the channel capacity when the SSW system applied to Nakagami-m fading and Log-normal shadowing channel. The results of this paper can be applied to general spread spectrum watermarking system.

Development of Highly-Resolved, Coupled Modelling System for Predicting Initial Stage of Oil Spill (유출유의 초기 확산예측을 위한 고해상도 결합모형 개발)

  • Son, Sangyoung;Lee, Chilwoo;Yoon, Hyun-Doug;Jung, Tae Hwa
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.29 no.4
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    • pp.189-197
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    • 2017
  • The development and application of accurate numerical models is essential to promptly respond to early stage of oil spill incidents occurring in nearshore area. In this study, the coupled modelling system was developed by integrating the advection-diffusion-transformation model for oil slick with the Boussinesq model, which incorporates non-linear, discrete, turbulent and rotational effects of wavy flows for accurate representation of nearshore hydrodynamics. The developed model examined its applicability through the application into real coastal region with topographical complexity and characteristics of the resulting flow originated from it. The highly-resolved, coupled model developed in this study is believed to assist in establishing the disaster prevention system that can prepare effectively for oil disasters under extreme ocean climate conditions and thus minimize industrial, economical, and environmental damages.

Ruin probabilities in a risk process perturbed by diffusion with two types of claims (두 가지 유형의 보험청구가 있는 확산과정 리스크 모형의 파산확률)

  • Won, Ho Jeong;Choi, Seung Kyoung;Lee, Eui Yong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.1
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    • pp.1-12
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    • 2013
  • In this paper, we introduce a continuous-time risk model where the surplus follows a diffusion process with positive drift while being subject to two types of claims. We assume that the sizes of both types of claims are exponentially distributed and that type I claims occur more frequently, however, their sizes are smaller than type II claims. We obtain the ruin probability that the level of the surplus becomes negative, by establishing an integro-differential equation for the ruin probability. We also obtain the ruin probabilities caused by each type of claim and the probability that the level of the surplus becomes negative naturally due to the diffusion process. Finally, we illustrate a numerical example to compare the impacts of two types of claim on the ruin probability of the surplus with that of the diffusion process in the risk model.

Concrete Carbonation Considering the Protective Performance of Concrete Coating (도막의 열화인자 차단 효과를 고려한 콘크리트 탄산화 깊이에 관한 연구)

  • Park, Dong-Cheon;Kim, Jeong-Jin;Cho, Bong-Suk;Park, Jae-Hong;Jeon, Bong-Min;Oh, Sang-Gyun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.501-504
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    • 2008
  • A concrete carbonation model has been constructed that takes account of the diffusion of carbon dioxide through a coating and reaction with calcium hydroxide, and this model has been validated by an accelerated carbonation experiment. (1) By using values for the coatings calculated on the basis of a diffusion.permeation theory as input data for the analysis of diffusion.reaction carbonation in an unsteady state, the effect of the coatings in reducing carbonation can be represented with high accuracy. (2) Through a sensitivity analysis of the diffusion.reaction carbonation model and the experimental results, we found that the diffusion coefficient of calcium hydroxide shows a high interrelationship at 1e-12($m^2/s$). The reaction rate constant for carbonation shows a high interrelationship at 5e-5($m^3/mol/s$).

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Analytical Modelling for Recarbonation Process of Concrete Repaired with Patching Repair Material (단면복구재로 보수된 콘크리트의 재탄산화 과정에 대한 분석적 모델링)

  • Do, Jeong-Yun;Kim, Doo-Kie;Song, Hun;Jo, Young-Kug
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.14 no.2
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    • pp.89-96
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    • 2010
  • This study presented the analytical evaluation model effective in the concrete structure repaired with a patching material. The model considered the effect of the repair material on carbon dioxide penetration into the repaired concrete as evaluating the remaining service life of the CO2-deteriorated concrete structure after repair. The diffusion profiles of carbon dioxide as well as the carbonated concrete were effectively able to be modelled with analytical method based on Fick's 1st diffusion law. The evaluation of the model equation showed the good result and rational process quantitatively and numerically to evaluate the remaining service life of the repaired concrete structure after repair.

A Study on the Delay Effect of Smoke Diffusion by the Installation Intervals and the Blockage Ratio of the Fire Smoke Diffusion Delay Device in a Great Depth Underground Double-Deck Tunnel (대심도 복층터널 화재연기 확산지연장치 설치간격 및 차폐율에 따른 화재연기 지연효과 연구)

  • Yang, Yongwon;Han, Jaehee;Lee, Yuntaek;Moon, Jungjoo;Shin, Taegyun
    • Journal of the Korean Society of Mineral and Energy Resources Engineers
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    • v.55 no.6
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    • pp.596-603
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    • 2018
  • The traffic congestion is frequently occurring due to increasing demand for vehicles and development of subcenter in roads of domestic-downtown. The design of a Great depth underground double-deck tunnel planned for construction as a solution however it's mainly for a compact-car. Its low height and small section cause causalities when fire occurs. From this study, the delay system for fire smoke diffusion is developed to minimize the occurrence of casualties when fire occurs in the Great depth underground double-deck tunnel and the CFD(Computational Fluid Dynamics) is used to find the optimal installation interval and the blockage ratio to maximize the system effects. The study analyzed the shorter the installation interval of the system, the higher the smoke delay effect but the efficiency-change tends to be slight above a certain distance and the larger the blockage ratio, the higher the effect but the efficiency-difference is slight according to installation interval.