• Title/Summary/Keyword: Expansion Method

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Integrated Expansion Analysis of Pipe-In-Pipe Systems

  • Choi, Han-Suk;Do Chang-Ho
    • Journal of Ocean Engineering and Technology
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    • v.20 no.5 s.72
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    • pp.9-14
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    • 2006
  • This paper presents an analytical method, application of expansion, mechanical design, and integrated expansion design of subsea insulated pipe-in-pipe (PIP) systems. PIP system consists of a flowline and a casing pipe for the transport of high temperature and high pressure product from the subsea wells. To prevent heat lass from the fiowline, insulation material is applied between the pipes. The fiawline pipe and the casing pipe have mechanical connections through steel ring plate (water stops) and bulkheads. Pipeline expansion is defined by temperature, internal pressure, soil resistance, and interaction force between the flowline and the casing pipe. The results of the expansion analysis, the mechanical design of connection system of the two pipes and tie-in spool design are integrated for the whole PIP system.

The effect of Volume Expansion on the Propagation of Wrinkled Laminar Premixed Flame

  • Chung, E.H.;Kwon, Se-Jin
    • 한국연소학회:학술대회논문집
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    • 1998.10a
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    • pp.139-154
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    • 1998
  • Under certain circumstance, premixed turbulent flame can be treated as wrinkled thin laminar flame and its motion in a hydrodynamic flow field has been investigated by employing G-equation. Past studies on G-equation successfully described certain aspects of laminar flame propagation such as effects of stretch on flame speed. In those studies, flames were regarded as a passive interface that does not influence the flow field. The experimental evidences, however, indicate that flow field can be significantly modified by the propagation of flames through the volume expansion of burned gas. In the present study, a new method to be used with G -equation is described to include the effect of volume expansion in the flame dynamics. The effect of volume expansion on the flow field is approximated by Biot-Savart law. The newly developed model is validated by comparison with existing analytical solutions of G -equation to predict flames propagating in hydrodynamic flow field without volume expansion. To further investigate the influence of volume expansion, present method was applied to initially wrinkled or planar flame propagating in an imposed velocity field and the average flame speed was evaluated from the ratio of flame surface area and projected area of unburned stream channel. It was observed that the initial wrinkling of flame cannot sustain itself without velocity disturbance and wrinkled structure decays into planar flame as the flame propagates. The rate of decay of the structure increased with volume expansion. The asymptotic change in the average burning speed occurs only with disturbed velocity field. Because volume expansion acts directly on the velocity field, the average burning speed is affected at all time when its effect is included. With relatively small temperature ratio of 3, the average flame speed increased 10%. The combined effect of volume expansion and flame stretch is also considered and the result implied that the effect of stretch is independent of volume release.

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A Study of Long-Term Generation Expansion Planning Using Nonlinear Invest Cost Function (비선형 투자비 함수를 이용한 장기 전원개발계획 수립에 관한 연구)

  • Kim, Joon-Hyun;Choi, In-Hong
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.102-106
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    • 1988
  • Generally, average invest cost is widely used for expansion planning of generation in power system. But, other cost which is followed by adding generating capacity in electric system is increased in accordance with increasing plant reasons. In this study, we represent the invest cost with quadratic function and analyze its effect on the expansion planning. It is hoped that this method is used in expansion planning of generating system.

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Development of a national medium vacuum standard by static expansion method (정적법을 이용한 중진공 국가표준기 개발)

  • Hong S. S.;Lim I. T.;Shin Y. H.;Chung K. H.
    • Journal of the Korean Vacuum Society
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    • v.14 no.2
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    • pp.59-68
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    • 2005
  • We developed a national medium vacuum standard by static expansion method. A 133 Pa capacitance diaphragm gauge was calibrated and analysed according to the document of 'Guide to the Expression of Uncertainty in Measurement' of ISO. The results showed that the expanded uncertainty of $2.628\times10^{-3}$ Pa at $95\%$ confidence level and coverage factor of k=2.

Jacobian-free Newton Krylov two-node coarse mesh finite difference based on nodal expansion method

  • Zhou, Xiafeng
    • Nuclear Engineering and Technology
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    • v.54 no.8
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    • pp.3059-3072
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    • 2022
  • A Jacobian-Free Newton Krylov Two-Nodal Coarse Mesh Finite Difference algorithm based on Nodal Expansion Method (NEM_TNCMFD_JFNK) is successfully developed and proposed to solve the three-dimensional (3D) and multi-group reactor physics models. In the NEM_TNCMFD_JFNK method, the efficient JFNK method with the Modified Incomplete LU (MILU) preconditioner is integrated and applied into the discrete systems of the NEM-based two-node CMFD method by constructing the residual functions of only the nodal average fluxes and the eigenvalue. All the nonlinear corrective nodal coupling coefficients are updated on the basis of two-nodal NEM formulation including the discontinuity factor in every few newton steps. All the expansion coefficients and interface currents of the two-node NEM need not be chosen as the solution variables to evaluate the residual functions of the NEM_TNCMFD_JFNK method, therefore, the NEM_TNCMFD_JFNK method can greatly reduce the number of solution variables and the computational cost compared with the JFNK based on the conventional NEM. Finally the NEM_TNCMFD_JFNK code is developed and then analyzed by simulating the representative PWR MOX/UO2 core benchmark, the popular NEACRP 3D core benchmark and the complicated full-core pin-by-pin homogenous core model. Numerical solutions show that the proposed NEM_TNCMFD_JFNK method with the MILU preconditioner has the good numerical accuracy and can obtain higher computational efficiency than the NEM-based two-node CMFD algorithm with the power method in the outer iteration and the Krylov method using the MILU preconditioner in the inner iteration, which indicates the NEM_TNCMFD_JFNK method can serve as a potential and efficient numerical tool for reactor neutron diffusion analysis module in the JFNK-based multiphysics coupling application.

A Study on Consolidation Characteristics at Sand Pile Adjacent Ground by Cavity Expansion Theory (공동확장이론에 의한 Sand Pile 주변지반에서의 압밀특성에 관한 연구)

  • 천병식;여유현
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.231-238
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    • 2000
  • Sand piling method is one of the most widely used methods to improve soft soils. There are several methods to install sand piles, but driven pile method is considered as one of the easiest method. This method simply pushes down the sand piles into soft soils, so that the excess pore pressure would be generated if the soil is saturated. This pore pressure acts as consolidation load. If the amount of sand pile induced pore pressure can be predicted in reasonable ways, the effects of sand piling to improve soft soils would be predicted, and the height of preload can be reduced. In this article, sand pile induced excess pressure was predicted by cavity expansion theory, and the predicted values were compared with the field measured values. The results showed fair agreements between the measured and the predicted excess pore pressure.

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TRAVELING WAVE SOLUTIONS FOR HIGHER DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS USING THE $(\frac{G'}{G})$- EXPANSION METHOD

  • Zayed, E.M.E.
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.383-395
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    • 2010
  • In the present paper, we construct the traveling wave solutions involving parameters of nonlinear evolution equations in the mathematical physics via the (3+1)- dimensional potential- YTSF equation, the (3+1)- dimensional generalized shallow water equation, the (3+1)- dimensional Kadomtsev- Petviashvili equation, the (3+1)- dimensional modified KdV-Zakharov- Kuznetsev equation and the (3+1)- dimensional Jimbo-Miwa equation by using a simple method which is called the ($\frac{G'}{G}$)- expansion method, where $G\;=\;G(\xi)$ satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary waves are derived from the travelling waves. The travelling wave solutions are expressed by hyperbolic, trigonometric and rational functions.

A Study on the Properties of Cement Mortar with the Content of Expansive Additives Under Various Curing Method (팽창재량 및 양생방법에 따른 시멘트 모르터의 특성에 관한 연구)

  • 한성수;김정진;김효구;홍상희;한천구
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.181-186
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    • 1999
  • When the expansive additives are used in concrete to reduce the shrinkage cracking, it shows variable properties with the curing method and curing temperature. Therefore, in this study, the experiments are perfomed to present the expansion of cement mortar by varying the unit additions of expansive additives and the curing method. According to the test results, the order of expansion by curing method, which is caused by hydration heat of cement, is follows ; curing at water > curing at air after curing at water for 7 days > curing at air. Cement mortar using expansive additives shows that high expansion is place with rise of temperature.

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COMBINED LAPLACE TRANSFORM WITH ANALYTICAL METHODS FOR SOLVING VOLTERRA INTEGRAL EQUATIONS WITH A CONVOLUTION KERNEL

  • AL-SAAR, FAWZIAH M.;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.2
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    • pp.125-136
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    • 2018
  • In this article, a homotopy perturbation transform method (HPTM) and the Laplace transform combined with Taylor expansion method are presented for solving Volterra integral equations with a convolution kernel. The (HPTM) is innovative in Laplace transform algorithm and makes the calculation much simpler while in the Laplace transform and Taylor expansion method we first convert the integral equation to an algebraic equation using Laplace transform then we find its numerical inversion by power series. The numerical solution obtained by the proposed methods indicate that the approaches are easy computationally and its implementation very attractive. The methods are described and numerical examples are given to illustrate its accuracy and stability.

Probabilistic Technique for Power System Transmission Planning Using Cross-Entropy Method (Cross-Entropy를 이용한 전력계통계획의 확률적 기법 연구)

  • Lee, Jae-Hee;Joo, Sung-Kwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.11
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    • pp.2136-2141
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    • 2009
  • Transmission planning is an important part of power system planning to meet an increasing demand for electricity. The objective of transmission expansion is to minimize operational and construction costs subject to system constraints. There is inherent uncertainty in transmission planning due to errors in forecasted demand and fuel costs. Therefore, transmission planning process is not reliable if the uncertainty is not taken into account. The paper presents a systematic method to find the optimal location and amount of transmission expansion using Cross-Entropy (CE) incorporating uncertainties about future power system conditions. Numerical results are presented to demonstrate the performance of the proposed method.