• Journal of Korea Water Resources Association
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• v.36 no.6
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• pp.1035-1046
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• 2003

In order to evaluate the TOPMODEL's prediction ability for spatial distribution of water table depths, two major assumptions and governing equation of water table depth are tested. For the test, data of hydrological observations are used and a soil survey is made in the steep hillslope with thin soils. Responses of water table and hydraulic properties of soil are coincident with two major assumptions of the TOPMODEL's such as water table gradient parallel to the local topographical slope and exponential decline in transmissivity with depths. Soil texture and the decline rate of transmissivity(f) we homogeneous in space at the 0∼0.3m depths of the soil of the hillslope, but they are heterogeneous in space below its 0.3m depths due to the vertical change of soil texture and the ‘f’. It is shown that the TOPMODEL's equation can be used for simulating distribution of water table depth at the depths with uniform values of the 'f'.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.555-559
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• 2009

난류응력은 순간속도성분을 시간평균성분과 편차성분의 합으로 보고 Navier-Stokes 방정식으로부터 Reynolds 방정식을 유도할 때 나타나게 된다. Reynolds 방정식으로부터 수심 적분된 천수방정식을 유도하는 과정에서 시간 평균된 유속성분을 수심 적분된 유속성분과 편차성분의 합으로 본다면, 분산응력 (dispersion stress)이라고 하는 추가적인 새로운 항이 잔류하게 된다. 점성응력, 난류응력, 그리고 분산응력을 통칭하여 유효응력 (effective stress)이라고 한다. 일반적으로 수심에 비해 수로 폭이 넓은 개수로에서는 유효응력이 흐름특성의 수치 근사해에 큰 영향을 미치지 못한다고 가정하여 2차원 수심적분 모형에서 유효응력을 생략하기도 한다. 또한 유효응력을 적용하더라도, 점성응력이 난류응력에 비해 무시할 만큼 작다고 가정하여 난류응력만을 적용하며, 분산응력은 무시된다. 하지만 만곡부에서는 원심력과 편수위로 인한 횡방향 압력의 불균형이 발생하기 때문에, 만곡부의 이차류가 발생되며, 유속의 연직방향 분포도 일정하지 않게 된다. 따라서 본 연구의 목적은 만곡부의 이차류 특성을 수심적분 2차원 모형에 반영하기 위해 분산응력을 고려한 모형의 개발 및 검증이다. 불규칙한 모의영역을 원활히 나타낼 수 있도록 곡선좌표계를 사용하는 여타 모형들과 달리 유한유소법을 이용하여 수치해를 구하며, 따라서 x, y 좌표축을 사용하는 데카르트 좌표계를 사용하여 지배방정식을 나타낸다. 분산응력의 유 무에 따른 수치결과를 Rozovskii의 $180^{\circ}$ 만곡수로 실내실험 자료와 비교하여 개발 모형을 검증한다.

• Aerospace Engineering and Technology
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• v.3 no.2
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• pp.42-49
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• 2004

Analytical solutions are developed to predict temperature of a satellite box during launch stage under the assumption of worst hot condition. The considered time period is from fairing jettison to separation of satellite during launch stage. After fairing jettison, a box mounted on outer surface of satellite are exposed to space environments such as direct solar flux, Earth IR, Albedo, and free molecular heating. The thermal governing equation is simplified to 1st order ordinary differential equation such that analytic solutions are acquired after the box is assumed as a single lumped mass. The analytical solutions are also available for mass varying box. Finally, the practical application is performed for the case of STSAT-1 launch scenario.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.37 no.3
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• pp.283-292
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• 2009

Considering an integral equation governing the motion of unfolding fin, an algebraic equation was acquired to get estimated minimum deployment energy required for the successful fin unfolding under the given wind condition. To complete the integration of moment, some approximations had to be introduced particularly to frictional moment and aerodynamic damping for which deployment angular speed of the unfolding fin was modelled as a function of deployment angle only with assumed profile using expected maximum angular speed. Technique for the estimation of the minimum required deployment energy was finalized by introducing the ideal deployment angular speed representing work done by the fin unfolding device alone during fin unfolding and was confirmed by comparing results from simulation with various aerodynamic conditions and profiles of the hinge torque.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.1-5
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• 2009

하천의 수위와 유량에 대한 정확한 정보는 이수, 치수와 같은 수자원 관리에 있어서 가장 기본 물리량이며, 각종 물이용 분쟁 해결, 수공구조물의 설계, 하천의 유사량 산정 및 수리 수문모형의 개발, 검증을 위한 기초자료로 이용된다. 그러나 유량의 직접 계측은 많은 비용이 소요되며, 홍수시에는 계측이 불가능하다. 지속적인 유량자료의 실측은 얻는 것은 매우 어렵다. 따라서 최근 수치 모형을 이용하여 수위-유량 곡선을 예측하고자 하는 연구가 진행되고 있다. 본 연구에서는 복단면 및 불규칙한 하상을 갖는 개수로의 수위-유량 곡선 및 단위유량 예측모형을 개발하고자 한다. 수심 적분된 2차원 운동량 방정식으로부터 정상류와 등류 조건을 가정하여 지배방정식을 구성하였으며, Manning 조도계수를 사용하여 자갈 및 모래와 같은 하상재료에 의한 전단력을 산정한다. 또한 식생항력을 이용하여 홍수터 및 제방의 식생이 수위-유량에 미치는 영향을 분석하였다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.23 no.1
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• pp.95-110
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• 2010

A numerical model to simulate bond-slip behavior of composite beam bridges is introduced in this paper. Assuming a linear bond stress-slip relation along the interface between the slab and girder, the slip behavior is implemented into a finite element formulation. Adopting the introduced model, the slip behavior can be taken account even in a beam element which is composed of both end nodes only. Governing equation of the slip behavior, based on the linear partial interaction theory, can be determined from the force equilibrium and a constant curvature distribution across the section of a composite beam. Since the governing equation for the slip behavior requires the moment values at both end nodes, the piecewise linear distribution of the constant bending moment in an element is assumed. Analysis results by the model are compared with numerical results and experimental values, and load-displacement relations of composite beams were then evaluated to verify the validity of the proposed model.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.19 no.5
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• pp.436-445
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• 2007

An analytical solution which can be applied to an arbitrarily varying topography is derived by using the continuity and momentum equations. Applying the fact that the solution of the governing equation is expressed as Bessel function in such case that the water depth varies linearly, the present solution is obtained by assuming the water depth as series of constant slope. The present solution is verified by comparing with analytical solution derived previously and investigates the effects of bottom topography to run-up height of vertical structure.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.566-570
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• 2012

본 연구에서는 비선형 k-$\varepsilon$ 모형을 이용하여 직사각형 개수로에서 평균흐름과 난류구조를 모의하였다. 표준 k-$\varepsilon$ 난류모형은 난류의 등방성을 가정하여 국부적 평형상태에서 계산하기 때문에 유선에 따른 레이놀즈 응력의 변형이 큰 경우나 이방성이 강한 경우 이를 계산하지 못한다. 이를 보완하기 위하여 제시된 것이 비선형 k-$\varepsilon$ 난류모형이다. 본 연구에서는 표준 k-$\varepsilon$ 모형과 비선형 k-$\varepsilon$ 모형에 의한 모의결과를 비교하였다. 난류모형을 검증하기 위하여 직사각형 개수로에 흐름을 완전 발달된 등류로 가정하여 해석하였다. 지배방정식을 해석하기 위해 Patankar와 Spalding (1972)이 제시한 SIMPLER 알고리즘을 사용하였고 유한체적법을 이용하여 이산화하고 엇갈린 격자체계를 사용하여 계산에서 발생하는 과도한 진동을 줄였다. 또한 차분기법은 Patankar (1980)가 제시한 Power-law 기법을 채택하였으며 경계조건으로 2층 벽법칙 모형과 Hossain과 Rodi (1993)의 모형을 이용하였다. 두 모형의 적용성을 검증하기 위하여 실측자료를 이용하여 비교하였고 그 결과 비선형 k-$\varepsilon$ 모형이 표준 k-$\varepsilon$ 모형에 비해 좀 더 실측지에 가깝게 모의하는 것을 볼 수 있었다.

• Journal of Korea Water Resources Association
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• v.44 no.2
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• pp.157-167
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• 2011

A numerical model was developed to predict the stage-discharge curve and lateral distribution of unit discharge in open channels with nonuniform cross section or compound open-channels. The governing equation is the one-dimensional momentum equation based on assumptions of the steady and uniform flow conditions in the longitudinal direction and the uniform water surface elevation in a cross section. Vegetative drag force term was included in governing equation in order to reflect the effect of floodplain vegetation on the flow characteristics. Finite element method was applied to obtain the numerical solution of the governing equation. Stage-discharge curve and lateral distribution of unit discharge for a given water surface are calculated based on input data, such as the cross sectional geometry, Manning's roughness coefficient, vegetative information and longitudinal slope of channel bed. The developed model was verified by comparing the calculated results with the observed data and the results of Darby and Thorne's(1996) model and the nonlinear k-$\epsilon$ model. The verified model was applied to estimate the upstream boundary conditions in two-dimensional flow model. The numerical results using laterally distributed unit discharge were compared with those obtained using uniformly distributed unit discharge in two-dimensional flow model.

• Aerospace Engineering and Technology
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• v.2 no.2
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• pp.83-88
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• 2003

Satellite mounted on the launch vehicles experiences several environmental heating, such as direct solar flux, Earth IR, Albedo, and free molecular heating during faring jettison-separation launch stage. So, the most outer payload box of satellite is under the worst hot condition. The thermal governing equation is reduced into 1st order ordinary differential equation and analytic solution is acquired if payload box is assumed as a single lumped mass. Applying the analytic solution, we can predict the temperature increase of payload box experienced the worst hot condition, easily.