• 제목/요약/키워드: Elliptic-Region

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3-Dimensional Analysis for Film Cooling adjacent Injection Hole (분사구 인접영역에서의 막냉각에 관한 3차원 해석)

  • 이용덕;이재헌
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.10
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    • pp.2590-2600
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    • 1993
  • The present paper describes numerical predictions for the film cooling effectiveness from a row of hole at various injection ratios and injection alngles.Numerical calculations were performed to investigate film cooling effectiveness and the characteristics of flow and temperature distributions in the region near the downstream of injection hole including the region of adverse pressure gradient. The elliptic 3-dimensional governing equations with variable thermal properties were solved by SIMPLE algorithm. The results showed that the presence of adverse pressure gradient in the region near the downstream of injection hole induces large temperature gradient. At injection angle of $35^{\circ}$ the average film cooling effectiveness was increased as increased of injection ratio up to 1.0. At injection angle of $90^{\circ}$ however, the average film cooling effectiveness was decreased from injection ratio larger than 0.4.

Wave Transformation Due to Energy Dissipation Region (에너지 감쇠영역으로 인한 파랑변형)

  • 윤종태
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.3
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    • pp.135-140
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    • 1999
  • To simulate the wave transformation by an energy dissipation region, a numerical model is suggested by discretizing the elliptic mild-slope equation. Generalized conjugate gradient method is used as solution algorithm to apply parabolic approximation to open boundary condition. To demonstrate the applicabil-ity of the numerical procedure suggested, the wave scattering by a circular damping region is examined. The feature of reflection in front of the damping region is captured clearly by the numerical solution. The effect of the size of dissipation coefficient is examined for a rectangular damping region. The recovery of wave height by diffraction occurs very slowly with distance behind the damping region.

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A Study on The Characteristics of the 2-Dimensional Jet (2차원 분류특성에 관한 연구)

  • Kim, Kyung-Hoon;Park, Sang-Kyoo
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.4
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    • pp.43-51
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    • 1989
  • Free jet was investigated experimentally and numerically in range of Reynolds number from 9900 to 21000. The working fluid was air; the mean velocity components and turbulent quantities were measured by a hot-wire anemometer. In numerical computations, the governing partial differential equations of elliptic type were solved with conventional k- ${\epsilon}$ turbulence model. The measurements show that the jet increased linearly in flow direction, and that similarity for each turbulent quantity such as Reynolds shear stress, or turbulent kinetic energy was revealed in the fully developed region. The computational results show good agreements with experiments.

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Regularity of solutions to Helmholtz-type problems with absorbing boundary conditions in nonsmooth domains

  • Kim, Jinsoo;Dongwoo Sheen
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.135-146
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    • 1997
  • For the numerical simulation of wave phenomena either in unbounded domains that it is not feasible to compute solutions on the entire region, it is needed to truncate the original domains to manageable bounded domains whose geometries are simple but usually nonsmooth. On the artificial boundaries thus created, absorbing boundary conditions are taken so that the significant part of waves arriving at the artificial boundaries can be transmitted [5,10,11,16,17,26]$.

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A Study on Natural Convection from Two Cylinders in a Cavity

  • Mochimaru Yoshihiro;Bae Myung-Whan
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1773-1778
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    • 2006
  • Steady-state natural convection heat transfer characteristics from cylinders in a multiply-connected bounded region are clarified. A spectral finite difference scheme (spectral decomposition of the system of partial differential equations, semi-implicit time integration) is applied in numerical analysis, with a boundary-fitted conformal coordinate system through a Jacobian elliptic function with a successive transformation to formulate a system of governing equations in terms of a stream function, vorticity and temperature. Multiplicity of the domain is expressed explicitly.

Spectral Analysis of Nonliner Dynamic Response for Dynamic Instability of Shallow Elliptic Paraboloidal Shells (얕은 타원포물곡면쉘의 동적 불안정 현상의 규명을 위한 비선형 동적 응답의 스펙트럼 분석)

  • 김승덕
    • Computational Structural Engineering
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    • v.8 no.2
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    • pp.153-161
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    • 1995
  • The dynamic instability for snapping phenomena has been studied by many researchers. There is few paper which deal with the dynamic buckling under the load with periodic characteristics, and the behavior under periodic excitation is expected the different behavior against step excitation. In this study, the dynamic direct snapping of shallow elliptic paraboloidal shells is investigated under not only step excitation but also sinusoidal and seismic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equations of motion, and examined by the Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels. The results show that the dynamic instability phenomenon carried out from stable to unstable region reveals considerably different mechanism depending on the characteristics of excitations.

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Comparison of PCGM and Parabolic Approximation Numerical Models for an Elliptic Shoal (타원형천퇴에 대한 PCGM과 포물형근사식 수치모형비교)

  • 서승남;연영진
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.3
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    • pp.216-225
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    • 1994
  • By use of laboratory experiment data set for an elliptic shoal by Berkhoff et al. (1982), both accuracy and Performance tests of numerical results between PCGM (Preconditioned Conjugate Gradient Method) and PA(Parabolic Approximation) are compared. Although both results show good agreement with the experimental data the PA model gives better reproduction of the relatively high amplitudes in the section 4-5 downwave of the shoal, in comparison with the PCGM. The PA model has been proved to be a useful tool for predicting wave transformationsin large shallow water region, but it can be applied only to the case of negligible reflection. On the other hand, there is a need to improve the computational efficiency of the PCGM model which is a finite difference scheme directly derived from the mild slope equation and can handle reflection. By taking the results of th PA model as an input data of the PCGM, the CPU time can be reduced by about 40%.

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Film Cooling by a Row of Jets in a Gas Turbine Blade (가스터빈블레이드에서 일렬의 제트에 의한 막냉각특성 연구)

  • 이용덕;이재헌
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1851-1865
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    • 1994
  • The objective of the present study is to predict the film cooling effectiveness by a row of holes at various injection ratios and injection angles. Numerical calculations have been performed to investigate the characteristics of flow and temperature distributions in a region near the down-stream of injection hole including the region of adverse pressure gradient. The elliptic turbulent 3-dimensional governing equations with variable thermal properties using the low-Reynolds number k-$\bar{varepsilon}$ model was solved by SIMPLE algorithm. The results showed that the presence of adverse pressure gradient and secondary vortex in the region near the downstream of injection hole induces large temperature gradent. The $45^{\circ}$ injection has higher averaged film cooling effectiveness than $60^{\circ}$ injection. But neverthless the $90^{\circ}$ injection has greater deviation from a flat plate than $45^{\circ}$ and $60^{\circ}$ injection, the $90^{\circ}$ injection has higher averaged film cooling effectiveness than $45^{\circ}$ and $60^{\circ}$ injection in the region near the downstream of injection hole.

Run-up Height around Axis-symmetric Topographies (축 대칭 지형에서의 처오름 높이)

  • Jung, Tae-Hwa;Ryu, Yong-Uk
    • The Journal of the Korea Contents Association
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    • v.15 no.6
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    • pp.539-546
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    • 2015
  • In this study, we develop numerical model using the elliptic mild-slope equation for waves propagating around axis-symmetric topographies where the water depth varies arbitrarily having zero at the coastline. The entire region is divided into three regions. In the both of inner and outer regions, an existing analytical solutions are used. In the middle region, the finite element technique is applied to the governing equation. To get the solution, the methods of separation of variables, Frobenius series are used. Developed solution is validated by comparing with previously developed analytical solution. We also investigate various cases with different bottom topographies.

A new species of Daphne (Thymelaeaceae): D. jejudoensis M. Kim (팥꽃나무속(팥꽃나무과)의 신종: 제주백서향(Daphne jejudoensis M. Kim))

  • Lee, Jungsim;Lee, Kang-Hyup;So, Soonku;Choi, Changhak;Kim, Muyeol
    • Korean Journal of Plant Taxonomy
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    • v.43 no.2
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    • pp.94-98
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    • 2013
  • A new species, Daphne jejudoensis M. Kim, has been named and described from Seonheul, Jejudo Province, Korea. Daphne jejudoensis shares several characteristics (white calyx colors, long calyx tube, evergreen leaves, leathery leaf textures, etc.) with its related species D. kiusiana, but it is distinct from D. kiusiana which has a hairy calyx tube and lobes, short calyx lobes, oblanceolate leaves (with acute apex), and a different distribution (coastal region in Geojedo Is.) by having a glabrous calyx tube and lobes, long calyx lobes, elliptic leaves (with acuminate apex), and by its distribution (inland region in Jejudo Is.).