• Title/Summary/Keyword: 경계층이론

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A Note on the Asymptotic Structure of the $90^{\circ}$-Corner Flow ($90^{\circ}$-모서리 유동의 점근적 구조에 관한 소효)

  • Suh, Yong-Kweon
    • Journal of Ocean Engineering and Technology
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    • v.2 no.2
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    • pp.46-50
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    • 1988
  • $90^{\circ}$-모서리 주위의 유동에 관한 수치해석결과를 바탕으로 그 유동구조를 점근적으로 해석하였다. 전체유동구조는 고전적 자유유선 이론에 의한 모델과 일치하였으며 경계층 박리점 주위의 유동구조는 최근의 트리플뎨 이론에 근거하였으며 그 결과가 수치해석의 결과와 아주 잘 맞는데 따른 결과이다.

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Linear Stability of Variable-Viscosity Fluid Layer under Convection Boundary Condition (대류 조건하의 가변 점성 유체층의 선형 안전성)

  • 송태호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.1
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    • pp.132-141
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    • 1992
  • The critical condition for onset of Benard convection with variable viscosity .nu.=.nu.$_{0}$exp(-CT) has been obtained using a linear stability theory. The bottom wall is rigid while the upper surface may be either free or rigid. The two boundaries are subject to convective heat transfer. The critical Rayleigh numbers are presented up to maximum viscosity ratio of 3000. It is greater for smaller upper and/or lower surface Biot numbers. Its dependence on the viscosity ratio is complicated. However, a simple sublayer theory is found to be applicable for extremely large viscosity ratio. In such cases, the critical Rayleigh number and the critical wave number are functions of viscosity ratio and lower surface Biot number.r.

Experimental Study of Saltwater Intrusions in Coastal Aquifer (해안대수층에서 발생하는 해수침투에 관한 실험적 연구)

  • Park, Hwa-Jun;Kim, Jin-Sung;Kwon, Kyung-Jun;Seo, Seong-Kook;Ahn, Won-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.506-510
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    • 2009
  • 대수층내의 담수-염수 경계면의 위치와 기울기를 파악하는 것은 해안가의 지하수 개발을 위해 선행되어야 하는 연구이다. 가로 140 cm, 세로 70 cm의 사각형 수조에 모래를 채운 모래염수조를 이용하여 포화된 다공질 매체에서 형성되는 담수-염수 경계면을 모의하였다. 다공질 매체의 입자크기에 따른 수리전도도, 해안가 지형의 지표경사, 해수의 염도에 대한 조건을 각기 달리하여 여러 실험조건에서 각 경우에 따라 형성되는 경계면의 형태를 모의하였고, 각 인자가 경계면의 형성에 어떠한 영향을 미치는지를 분석하였다. 각 조건에 따른 총 31가지의 실험을 수행하였으며, Glover 포텐셜 유도식을 이용한 염수침투 경계면을 비교하였다. 모형에서 측정된 염수침투 경계면은 위의 이론식들의 계산치와 유사한 양상을 보였으며, 경계면의 위치와 기울기는 수리전도도, 지표면경사, 염도에 영향을 받는 것으로 나타났다.

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Development of Continuum Equations and Finite Element Method Program for Composite Systems (복합체에 대한 연속체 방정식 및 유한요소 프로그램의 개발)

  • Lim, Chong Kyun;Park, Moon Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.155-166
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    • 1988
  • An "equivalent homogeneous, orthotropic" model that includes edge effects and an accompanying finite element analysis is presented for elastomeric bearings. The model is developed for two-dimensional configurations with horizontal layers, and for linear, elastic, small deformation conditions. The equivalent homogeneous theory, in addition to capturing the overall response characteristics of the layered elastomeric bearing system, approximately models the important edge effects, which occur at and near boundaries that cut the layers, and the stress concentrations at layer interfaces. The primary dependent variables for the theory have been selected such that the highest derivatives appearing in the strain energy function are first-order, thus requiring only $C_0$ continuity of the finite element approximations. As a result, the finite element analysis is simple and computationally efficient. Numerical examples are presented to verify the theory and to illustrate potential applications of the analysis.

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Linear Stability of Compositional Convection in a Mushy Layer during Solidification of Ammonium Chloride Solution (염화암모늄 수용액 응고시에 Mush 층에서 성분적 대류의 선형안정성)

  • Hwang, In Gook
    • Korean Chemical Engineering Research
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    • v.50 no.1
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    • pp.61-65
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    • 2012
  • The onset of convection in a mushy layer is analyzed by using linear stability theory in time-dependent solidification of a binary melt. A simplified model of a near-eutectic mush, in which the mush is assumed to be a porous block, is used and the propagation theory is applied to determine the critical conditions for the onset of convection. The present critical Rayleigh number is higher than the existing experimental result and also theoretical results obtained by considering the mushy layer with an overlying liquid layer. The constant pressure (permeable) condition applied on the mush-liquid interface produces a lower critical Rayleigh number, which is closer to the experimental results of aqueous ammonium chloride solution, compared with the impermeable condition.

A Study on Analysis of Freshwater-saltwater Interface in the Aquifer around Hwajinpo Lagoon on the Eastern Coast of Korea (동해안 화진포 석호 주변 대수층 내 담수-염수 경계면 분석에 관한 연구)

  • Kim, Minji;Kim, Dongjin;Jun, Seong-Chun;Lee, Jeonghoon
    • Economic and Environmental Geology
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    • v.54 no.6
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    • pp.699-707
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    • 2021
  • Hwajinpo Lagoon, located on the eastern coast of Korea, is a unique environment where freshwater and saltwater are mixed. Systematic management of the lagoon is required because it is a biodiversity-rich and area of high conservation value. The existing environment of the lagoon was evaluated by identifying the distribution of the groundwater level and groundwater flow characteristics. In addition, hydrogeochemical fluctuations were analyzed to determine the effect of seawater intrusion into the aquifer. The results demonstrate that the freshwater-saltwater interface is distributed throughout the aquifer and rises when water of the lagoon evaporates due to prolonged periods of low rainfall and high temperature, thereby increasing the possibility of seawater inflow through groundwater. As for the ionic delta properties (difference between the measured and theoretical concentration of mixed waters), it was estimated that the cation-exchange and precipitation reactions occurred in the aquifer due to seawater intrusion. The ratio of seawater mixed at each point was calculated, using oxygen isotopes and chloride as tracers, resulting in an average of 0.3 and a maximum of 0.87. The overall seawater mixing ratio appears to be distributed according to the distance from the coast. However, some of the results were deviated from the theoretical expectations and reflected the characteristics of the nearby aquifers. Further research on seasonal changes and simulation of seawater intrusion mechanisms is required for specific analysis.

A Study on Turbulent Wall Pressure Fluctuations Using a Coherent Structure Model (응집구조 모델을 이용한 난류 벽면 압력변동에 대한 연구)

  • Ahn, Byoung-Kwon
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.5 s.122
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    • pp.405-414
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    • 2007
  • In recent years, experimental and theoretical studies show that turbulent flows looking disordered have a definite structure produced repetitively with visible order. As a core structure of turbulence, hairpin vertices are believed to play a major role in developing and sustaining the turbulence process in the near wall region of turbulent boundary layers and may be regarded as the simplest conceptual model that can account for the essential features of the wall pressure fluctuations. In this work, fully developed typical hairpin vortices are focused and the associated surface pressure distributions and their corresponding spectra are estimated. On the basis of the attached eddy model, the overall surface pressure spectra are represented in terms of the eddy size distribution. The model is validated by comparison of predicted wavenumber spectra with existing empirical models, the results of direct numerical simulation (DNS) and also spatial correlations with experimental measurements.

A study for laminar and turbulent boundary layer theory around a Joukowski and NACA-0012 airfoil by CFD (Airfoil 주변에서의 층류 및 난류경계층 이론에 대한 수치해석)

  • Je, Du-Ho;Hwang, Eun-Seong;Lee, Jang-Hyeoung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.4
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    • pp.1533-1539
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    • 2013
  • In the present study, we compared the theory with CFD data about the boundary layer thickness, displacement thickness and momentum thickness. According to the freestream velocity, larminar and turbulent is decided and affect to the flow patterns around the airfoil The boundary layer thickness, displacement thickness and momentum thickness affect to the aerodynamic characteristics of the airfoil(e.g. lift, drag and pitching moment). The separation point is affected by varying angle of attack. In the present study, we used the Joukowski airfoil(c=1), and NACA0012 airfoil was used at CFD. The chord Reynolds number is $Re_c$=3,000, 700,000, respectively and the freestream velocity is 0.045, 10 m/s, respectively. In this paper, the data was a good agreement with that of experimental results, so we can analyze the various airfoil models.

Stress Intensity Factors of Center Cracked Laminated Composites under Uniaxial Tension (단순인장을 받는 복합 적층재 중앙균열의 응력확대계수)

  • 김성호;오재협;옹장우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1611-1619
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    • 1991
  • 본 연구에서는 Hilton과 Sih의 경우를 확장 적용하여 Fig. 1(b)와 같이 탄성 층 내부에 존재하는 중앙균열선단의 응력확대계수 산출을 위하여 균열부위를 제외하고 는 섬유층과 레진층이 완전히 접착되었다고 가정한 모델을 다음과 같이 설정하였다. 중앙균열을 내재하고 있는 복합재료의 역학적 거동을 해석하기 위하여, 접착레진을 주 로하는 층(resin rich layer)을 중심으로 하여 상하 각1개의 섬유 (fiber)층과 균질한 특성을 갖는 복합재료의 층으로 단순화 하였으며, 이러한 단순화는 적층재에서의 균열 주위의 국부응력을 해석하기 위한 것으로서 복합재료는 레진층이나 섬유층에 비하여 매우 두꺼우므로 반무한체로 이상화 하였다. 선형탄성 이론에 의하여 혼합 경계조건 문제(mixed boundary value problem)로 부터 제2종 Fredholm적분방정식(fredholm int- egral equation of a second kind)을 유도하였으며 수치해석적인 방법에 의하여 응력 확대계수를 구하였다.

Characteristics of the Ekman Layer Flow over a Rough Bottom (거친 바닥 위의 에크만 경계층 내의 흐름의 특성)

  • Na, Jung-Yul;Kim, Tae-Yeon
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.3 no.2
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    • pp.53-58
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    • 1998
  • Ekman layer equation with rough-bottom boundary condition has been solved to determine the effect of roughness on the magnitude of Ekman veering. The bottom boundary condition and the flow field were expanded in a power of roughness (h) which is always smaller than the Ekman layer thickness (${\delta}_E$). By changing the magnitude of roughness parameter (h/${\delta}_E$), the magnitude of the veering, which rotates counterclockwise from the interior geostrophic flow, has been computed. At a fixed depth within the Ekman layer, the magnitude of veering increases as the roughness parameter increases. However, the cross-isobar flux turns out to decrease with increasing roughness. To verify the analytic solution, laboratory experiments were carried out. Rough-bottom cylinderical container filled with homogeneous fluid was sit on a rotating table. The flow pattern during the period of steady spin-up shows that the degree of veering coincides well with the analytic results for various roughness parameters.

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