• Title/Summary/Keyword: center manifold

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$\bar{WT}$-Classes of Differential Forms on Riemannian Manifolds

  • Hongya, Gao;Zhihua, Gu;Yuming, Chu
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.73-79
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    • 2008
  • The purpose of this paper is to study the relations between quasilinear elliptic equations on Riemannian manifolds and differential forms. Two classes of differential forms are introduced and it is shown that some differential expressions are connected in a natural way to quasilinear elliptic equations.

BIFURCATION ANALYSIS OF A DELAYED EPIDEMIC MODEL WITH DIFFUSION

  • Xu, Changjin;Liao, Maoxin
    • Communications of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.321-338
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    • 2011
  • In this paper, a class of delayed epidemic model with diffusion is investigated. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulation are also carried out to support our analytical findings. Finally, biological explanations and main conclusions are given.

BERGER TYPE DEFORMED SASAKI METRIC ON THE COTANGENT BUNDLE

  • Zagane, Abderrahim
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.575-592
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    • 2021
  • In this paper, we introduce the Berger type deformed Sasaki metric on the cotangent bundle T*M over an anti-paraKähler manifold (M, 𝜑, g) as a new natural metric with respect to g non-rigid on T*M. Firstly, we investigate the Levi-Civita connection of this metric. Secondly, we study the curvature tensor and also we characterize the scalar curvature.

액체로켓엔진 축소형 고압 연소기 설계

  • Han, Yeoung-Min;Kim, Seung-Han;Seo, Seong-Hyeon;Lee, Kwang-Jin;Kim, Jong-Gyu
    • Aerospace Engineering and Technology
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    • v.4 no.2
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    • pp.135-141
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    • 2005
  • The procedure of conceptual and detailed design of sub-scale combustor using bipropellant swirl or impinging injector with external or internal mixing for a liquid rocket engine are described in this paper. The sub-scale combustor uses liquid oxygen(LOx) and kerosene as propellants and has a injector head, an ablative material combustor wall and a water cooled nozzle. The injector head has LOx manifold, fuel manifold, fire face plate, one center swirl or impinging injector and 18 main swirl or impinging injectors.

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Study of Cooling Performance Enhancement on Injector Face Plate of Rocket Engine (로켓엔진 분사면의 냉각성능 향상에 관한 연구)

  • Cho Won Kook;Seol Woo Seok
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • v.y2005m4
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    • pp.215-218
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    • 2005
  • An optimal fuel manifold is suggested to improve the cooling performance of injector face plate. The cooling performance at the center area of the injector face plate is to be augmented while the spatial injection uniformity is maintained. The comparison of the cooling performance of 7 candidates gives the conclusion that the dividing plate from 2-3 injector row to 9-10 injector row is an optimal. The maximum face plate temperature decreases by $27\%$ while the injection uniformity is close to that of the original design. The pressure drop in the fuel manifold of the optimal design is also same as the original design.

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Simulation-based Intake Manifold Runner Length Optimization for Improving Performance, Fuel Consumption and Emission of a Gasoline Engine (가솔린 엔진의 성능, 연비, 배출 가스를 동시에 고려한 시뮬레이션 기반 흡기 다기관 길이 최적화)

  • Kang, Yong-Hun;Choi, Dong-Hoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.18 no.5
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    • pp.62-67
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    • 2010
  • Exhausting fossil fuel and increasing concern of air pollution have brought on the change of the focus of developing new vehicles from performance to fuel economy and emission. The gasoline engines adopting the naturally aspirated way use the throttle-body for engine load control. Therefore, its pumping loss increases more than that of the diesel engine, and also mostly operating in a partial load condition has bad influence on fuel economy and emission. In these days, the continuous variable valve timing system and variable induction system are adopted in order to improve fuel consumption and emission. In this study, we optimize the runner length and operate region of variable induction system to simulataneously improve the performance, fuel economy, and emission of gasoline engine with employing GT-Power as a CAE tool for engine analysis and PIAnO as PIDO tool for process integration and design optimization.

Experimental Study on Floating LNG Bunkering Terminal for Assessment of Loading and Offloading Performance (FLBT의 적하역 안정성 평가를 위한 실험적 연구)

  • Jung, Dong-Woo;Kim, Yun-Ho;Cho, Seok-Kyu;Jung, Dong-Ho;Sung, Hong-Gun;Kwon, Sun-Hong
    • Journal of Ocean Engineering and Technology
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    • v.32 no.1
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    • pp.51-61
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    • 2018
  • In this study, the operability of an FLBT (floating LNG bunkering terminal) was evaluated experimentally. Model tests were conducted in the KRISO (Korea Research Institute of Ships and Ocean Engineering) ocean engineering basin. An FLBT, an LNG carrier, and two LNG bunkering shuttles were moored side by side with mooring ropes and fenders. Two white-noise wave cases, one irregular wave case, and various regular wave cases were generated. The relative local motions between each LNG loading arm and its corresponding manifold in the initial design configuration were calculated from measured 6-DOF motions at the center of gravity of each of the four vessels. Furthermore, the locations of the LNG loading arms and manifolds were varied to minimize the relative local motions.

A study on Intake Rumble Noise and Related Intake Manifold Design (흡기럼블음 저감을 위한 다기관에 관한 연구)

  • Park Kichun;Kim Jaeheun;Kang Kutae
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.223-226
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    • 2000
  • 흡기 럼블 소음의 발생원을 규명하고 흡배기계와 엔진을 포함한 1-D 모사 실험을 통하여 흡기럼블 소음을 저감하기 위한 다기관의 구조를 제안하고 실험을 통하여 확인하였다. 흡기 럼블 소음은 다기통 엔진에서 기통간 흡입 편차 외에도 쓰로틀 바디로부터 각 연소실 흡기 밸브 사이의 거리 편차를 인하여 발생하고 거리 편차를 줄여 제작된 흡기 다기관에서 Half Order 성분이 저감되어 럼블 소음이 저감되었다.

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Design and Production of Hybrid Type Center Plate for Molten Carbonate Fuel Cell (용융탄산염 연료전지용 하이브리드 타입 센터 플레이트의 설계 및 제작)

  • Lee, C.H.;Ryu, S.M.;Yang, D.Y.;Kang, D.W.;Chang, I.G.;Lee, T.W.
    • Transactions of Materials Processing
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    • v.20 no.4
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    • pp.273-278
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    • 2011
  • Employing the TRIZ problem solving technique, a hybrid-type center plate for the molten carbonate fuel cell(MCFC) was developed for the purpose of improving gas sealing and maintenance. The manufacturing method of the hybrid-type center plate was divided into a trimming operation and a two-step bending process. In the latter, a modified punch shape was used to reduce springback. Using finite element(FE) simulations, bending stresses in the thickness and the in-plane directions were computed and the bending conditions were optimized. The optimized results of the two-step bending process were used as a basis for the design of the trimming process of the hybrid-type center plate. Finally, the external manifold-type center plate and the hybrid-type center plate were fabricated using a die set that accounts for the optimized conditions. It was found that the numerical simulation results were in good agreement with the experiments.

Surface Extraction from Multi-material CT Data

  • Fujimori, Tomoyuki;Suzuki, Hiromasa
    • International Journal of CAD/CAM
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    • v.6 no.1
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    • pp.81-87
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    • 2006
  • This paper describes a method for extracting surfaces from multi-material CT (Computed Tomography) data. Most contouring methods such as Marching Cubes algorithm assume that CT data are composed of only two materials. Some extended methods such as [3, 6] can extract surfaces from the multi-material (non-manifold) implicit representation. However, these methods are not directly applicable to CT data that are composed of three or more materials. There are two major problems that arise from fundamentals of CT. The first problem is that we have to use n(n-1)/2 threshold values for CT data contains n materials and select appropriately one threshold value for each boundary area. The second is that we cannot reconstruct only from CT data in which area three or more materials are adjacent each other. In this paper, we propose a method to solve the problems by using image analysis and demonstrate the effectiveness of the method with application examples construct polygon models from CT data of machine parts.