• Title/Summary/Keyword: Curvature Modification

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Numerical Analyses on Wall-Attaching Offset Jet with Various Turbulent $k-{\varepsilon}$ Models and Skew-Upwind Scheme (다양한 $k-{\varepsilon}$ 난류모델과 Skew-Upwind 기법에 의한 단이 진 벽면분류에 대한 수치해석)

  • Seo, Ho-Taek;Boo, Jung-Sook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.224-232
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    • 2000
  • Four turbulent $k-{\varepsilon}$ models (i.e., standard model, modified models with streamline curvature modification and/or preferential dissipation modification) are applied in order to analyze the turbulent flow of wall-attaching offset jet. For numerical convergence, this paper develops a method of slowly increasing the convective effect induced by skew-velocity in skew-upwind scheme (hereafter called Partial Skewupwind Scheme). Even though the method was simple, it was efficient in view of convergent speed, computer memory storage, programming, etc. The numerical results of all models show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show some deviations in ·second order (i.e., kinetic energy and its dissipation rate). Like the previous results obtained by upwind scheme, the streamline curvature modification results in better prediction, while the preferential dissipation modification does not.

Numeical Analysis on wall-Attaching Offset Jet with Various Turbulent $\kappa-\varepsilon$ Models (다양한 $\kappa-\varepsilon$ 난류모델에 의한 단이 진 벽면 분류에 대한 수치해)

  • 윤순현
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.2
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    • pp.216-225
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    • 1999
  • Four turbulent $k-{varepsilon}$models(i.e standard model modified models with streamline curvature modification and/or preferential dissipation modification) are applied in order to analyze the tur-bulent flow of wall-attaching offset jet. The upwind numerical scheme was adopted in the present analyses. The streamline curvature modification results in slightly better prediction while the preferential dissipation modification does not. The obtained analytic results will be used as refer-ences for further study regarding Reynolds stress model. In addition this paper introduced a method of increasing nozzle outlet velocity gradually for numercal convergence. Even though the method was simple it was efficient in view of convergent speed CPU running time computer memory storage programming etc.

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Computational Study on Swirling Turbulent Flow in a Stationary Pipe (정지된 도관내 선회류에 관한 수치해석)

  • Park, Bong-Kyu;Kim, Kwang-Yong;Cho, Yong-Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.8 no.4
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    • pp.95-106
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    • 1991
  • A numerical computation of turbulent wirling flow in a stationary pipe is presented in this work. Major concerns of this study are: 1) To approve similarity laws which were verified experimentally. 2) To investigate the effects of curvature modification for the K- .epsilon. model. To account for effects of swirl, Rodi's curvature correction and Kim & Chung's are applied. The governing differential equations for eliptic flow are discretized by control volume formulation method, and the discretized equations are calculated ay line by line TDMA and SIMPLE algorithm. The computational results also satisfy similarity laws which are based on swirl angle as in experiments. And the curvature modification of Rodi improves compuational accuacy than the standard K- .epsilon. model. But such lower order closure models are not adequate for the prediction of this complex flow.

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Experiment for Modification of wheel-radius using Curvature (방향이탈각을 이용한 구륜보정을 위한 실험)

  • 노택종;문종우박종국
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.267-270
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    • 1998
  • Unequal wheel-radius causes odometry errors which may be increased unbounded. This paper deals with the practical method for modification of wheel-radius through experiments. This can increase the robot's odometric accuracy. Experimental results are presented that show improvement of odometric accuracy.

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Nonlinear Analysis of RC Beams under Cyclic Loading Based on Moment-Curvature Relationship. (모멘트-곡률 관계에 기초한 반복하중을 받는 철근콘크리트 보의 비선형 해석)

  • 곽효경;김선필
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.190-197
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    • 2000
  • A moment-curvature relationship to simulate the behavior of reinforced concrete beam under cyclic loading is introduced. Unlike previous moment-curvature models and the layered section approach, the proposed model takes into consideration the bond-slip effect by using monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. The modification of the moment-curvature relation to reflect the fixed-end rotation and pinching effect is also introduced. Finally, correlation studies between analytical results and experimental studies are conducted to establish the validity of the proposed model.

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A Rapid Local Modification Algorithm for NURBS surface (NURBS 곡면의 고속 부분 수정 알고리듬 개발)

  • 김호찬;최홍태;김준안;이석희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.1402-1405
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    • 2004
  • Algorithms on modification of NURBS surface requires modeling history to change its boundary conditions. The history is stored when the surface is modeled and saved in the corresponding model file. But when the model is transferred to other systems the history generally cannot be recognized. So modification algorithms without history is highly required. Previous works on the field is concentrated in the point based modification without any restriction condition. Therefore this study is intended to develope a curved based modification algorithm with restriction conditions. A rapid modification algorithm is suggested, implemented and tested.

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The Effect of Addendum Modification Coefficient on Gear Strength to Planetary Gear Reducer (유성기어 감속기에서 전위계수가 기어 강도에 미치는 영향)

  • Kwak, Ki-Suk;Han, Dong-Seop
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.10 no.4
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    • pp.38-43
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    • 2011
  • Industrial reducer is in general use to Deck Crane. High-precision and high-efficient reducer is minimized the power-loss and energy-loss of a machine. So it contribute the price reduction and life extension. Reducer is usually using the Planetary gear reducer. Planetary gear reducer is composed the sun gear, planet gear, internal gear and casing. Industrial reducer's wear and breakage have a short-life. To solve this problem, it is using the profile-shifted-gear or tooth modification. This study was carried out the effect of addendum modification coefficient on tooth fillet bending strength to planetary reducer. Tooth fillet bending stress is calculate. And all parameter were expressed the function of addendum modification coefficient. And then stress concentration factor of tooth fillet curve was express the function of addendum modification coefficient using comparison between theory and finite element analysis.

Conformally invariant tensors on hermitian manifolds

  • Matsuo, Koji
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.455-463
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    • 1996
  • In [3] and [4], Kitahara, Pak and the author obtained the conformally invariant tensor $B_0$, which is an algebraic Hermitian analogue of the Weyl conformal curvature tensor W in the Riemannian geometry, by the decomposition of the curvature tensor H of the Hermitian connection and the notion of semi-curvature-like tensors of Tanno (see[7]). In [5], the author defined a conformally invariant tensor $B_0$ on a Hermitian manifold as a modification of $B_0$. Moreover he introduced the notion of local conformal Hermitian-flatness of Hermitian manifolds and proved that the vanishing of this tensor $B_0$ together with some condition for the scalar curvatures is a necessary and sufficient condition for a Hermitian manifold to be locally conformally Hermitian-flat.

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Moment curvature method for fire safety design of steel beams

  • Yu, H.X.;Richard Liew, J.Y.
    • Steel and Composite Structures
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    • v.4 no.3
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    • pp.227-246
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    • 2004
  • This paper presents a moment-curvature method that accounts for the strength deterioration of steel at elevated temperature in estimating the response of steel beams exposed to fire. A modification to the EC4 method is proposed for a better estimation of the temperature distribution in the steel beam supporting a concrete slab. The accuracy of the proposed method is verified by comparing the results with established test results and the nonlinear finite element analysis results. The beam failure criterion based on a maximum strain of 0.02 is proposed to assess the limiting temperature as compared to the traditional criteria that rely on deflection limit or deflection rate. Extensive studies carried out on steel beams with various span lengths, load ratios, beam sizes and loading types show that the proposed failure criterion gives consistent results when compared to nonlinear finite element results.

Study on the turbulent structure for two-dimensional recirculating flows by curvature dependent 2-equation model (曲率修正2方程式모델을 利용한 2次元 再循環 亂流 流動構造의 硏究)

  • 박상우;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.444-453
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    • 1987
  • In the present study, a new computational closure model is proposed in order to contain physical models in the k- and .epsilon.- equations. The time scale of the third-order diffusive transport of turbulent kinetic energy in a curved streamline flow field is assumed as a function of a velocity time scale and a curvature time scale, the latter being derived from the analogy between buoyancy and streamline curvature effects on turbulence. The curvature time scale is represented by a combination of Brunt-Vaisala frequency of the curvature instability and the velocity time scale. Besides the modification of diffusive transport time scale, the destruction term in the dissipation rate equation is modeled to incorporate the streamline curvature effect on the dissipation rate of turbulent kinetic energy as a function of the ratio between velocity time scale and curvature time scale. The new curvature dependent 2-equation model is found to yield very good prediction accuracy for the various turbulent recirculating flows. Particurarly, the recovery of the mean velocity profile in the redeveloping region after the reattachment is correctly simulated by the present model.