• 한국구조물진단유지관리공학회 논문집
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• 제22권5호
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• pp.13-22
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• 2018

이 연구는 이방성 평판의 휨 해석을 위한 지배방정식을 유도하고 다양한 경계조건을 갖는 평판의 정확한 풀이과정을 제시하였다. 이 해법은 삼각급수를 이용하여 미분 방정식을 대수학적 방정식으로 변환시키는 전통적인 Navier와 Levy의 방법을 따랐다. Levy의 방법을 이용해 해를 구하려면 평판의 마주보는 두 끝단이 단순지지단인 경우에만 가능하다. Navier의 방법은 사각평판의 네 끝단이 모두 단순지지단 이어야 한다. 본 연구는 Navier와 Levy해법이 갖는 경계조건 한계를 극복하였다. 이 해법은 평판 네 끝단의 경계조건이 단순지지단과 고정단의 어떤 조합이라도 적용될 수 있다. 하중조건도 분포하중, 부분하중 그리고 선하중에 대해 적용할 수 있다. 이 해법의 장점은 Navier와 Levy해법이 갖는 경계조건 한계를 극복하였을 뿐만 아니라 정확한 해를 구할 수 있다. 비대칭 경계조건을 갖는 이방성평판에 대하여 이 해법을 이용한 계산결과를 나타냈다. 또한 Navier해법과 Levy해법 그리고 Szilard의 계산결과와 비교를 보여주었는데 계산된 처짐량이 잘 일치한다.

• 한국윤활학회:학술대회논문집
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• 한국윤활학회 2004년도 학술대회지
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• pp.221-231
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• 2004

A kinetic theory analysis is made of low-speed gas flows in a microfluidic system consisted of three microchannels in series. The Boitzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. For the evaluation of the present method results are compared with those from the DSMC method and an analytical solution of the Navier-Stokes equations with slip boundary conditions. Calculations are made for flows at various Knudsen numbers and pressure ratios across the channel. The results compared well with those from the DSMC method. It is shown that the analytical solution of the Navier-Stokes equations with slip boundary conditions which is suited fur fully developed flows can give relatively good results. In predicting the geometrically complex flows up to a Knudsen number of about 0.06. It is also shown that the present method can be used to analyze extremely low-speed flow fields for which the DSMC method is Impractical.

• 한국수학사학회지
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• 제15권3호
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• pp.59-64
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• 2002

This paper investigates a history of Fourier Series for the heat equation and how deeply it is related to modern famous three equations, Navier-Stokes equations in fluid dynamics, drift-diffusion equations in semiconductor, and Black-Scholes equation in finance. We also propose improved models for the heat equation with finite propagation speeds.

• 한국산업융합학회 논문집
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• 제5권1호
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• pp.45-52
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• 2002

In this study, an exact solution of governing differential equation for the bending problem of partially loaded orthotropic rectangular plates is presented and also its computer program is developed. The method requires that two opposite edges be clamped or simply supported, or one edge clamped and the other simply supported. Any combination of boundary conditions could exist along the other edges. The plate could he subjected to uniform, partially uniform, and line loads. The solution for the deflection of rectangular plate is expressed as a Levy type single Fourier series and the loads arc expressed as a corresponding series. The advantage of the solution is that it overcomes the limitations of the previous Navier's and Levy's methods (limitation of boundary condition and loading conditions of plate), it is easy to program on a computer and it becomes fast to solve the bending problem with computer program. Calculations are presented for isotropic and orthotropic plates with different loading and boundary conditions. Comparisons are made for the isotropic plate with various boundary conditions between the result of this paper and the result of Navier, Levy and Szilard. The deflections were in excellent agreement.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2006년도 추계 학술대회논문집
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• pp.31-35
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• 2006

The delta-formulation of the Navier-Stokes equations has been popularly used in the aerodynamics area. Implicit algorithm can be easily implemented in that by using Taylor series expansion. This formulation is extended for an unsteady analysis by using a dual-time integration. In the meanwhile, the incompressible flows with heat transfers which occur in the area of thermo-hydraulics have been solved by a segregated algorithm such as the SIMPLE method, where each equation is discretised by using an under-relaxed deferred correction method and solved sequentially. In this study, the dual-time delta formulation is implemented in the segregated Navier-Stokes solver which is based on the collocated cell-centerd scheme with un unstructured mesh FVM. The pressure correction equation is derived by the SIMPLE method. From this study, it was found that the Euler dual-time method in the delta formulation can be combined with the SIMPLE method.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 1997년도 추계 학술대회논문집
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• pp.126-130
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• 1997

A new and efficient method is presented for design optimization, which is based on a computational fluid dynamics (CFD). The method is applied to design an airfoil configuration. The Navier-Stokes equations are solved for the viscous analysis of the flow, which provides the object function. The CFD analysis is then coupled with the optimization procedure that used a conjugate gradient method. During the one-dimensional search of the optimization procedure, an approximate flow analysis based on a first-order Taylor series expansion is used to reduce the computational cost, (This study is supported by Korean Ministry of Education through Research Fund)

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2002년도 추계 학술대회논문집
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• pp.139-143
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• 2002

The purpose of this paper is to develop the CFD code to consider the viscous flow features of the marine propeller. The flow of the marine propeller has been numerically analyzed by using three dimensional viscous incompressible Navier-Stokes equation. The model used in this study is Screw B with 4 blades whose pitch ratio is 1 in Ka-4-55 screw series. The result of the analysis was compared with panel method.

• Structural Engineering and Mechanics
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• 제29권5호
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• pp.551-565
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• 2008

Transient solution of asymmetric mechanical and thermal stresses for hollow cylinders made of functionally graded material is presented. Temperature distribution, as function of radial and circumferential directions and time, is analytically obtained, using the method of separation of variables and generalized Bessel function. A direct method is used to solve the Navier equations, using the Euler equation and complex Fourier series.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2011년 춘계학술대회논문집
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• pp.392-394
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• 2011

This paper is concerned about the hydrodynamic coefficients of hydrofoil. We discretized the incompressible Navier-Stokes equation with second order Runge-kutta for the time in the second order compact scheme for the spatial. The three-dimensional CFD code based on hybrid mesh on the finite volume method is used to simulate flow around NACA series foils. Lift and drag coefficient is calculated for several NACA series foils using different mesh types. Our aim is to obtain the lift and drag coefficient to evaluate the robustness of the solver and to shaw the advantage of using trim tab at the trailing edge. It concludes with a discussion of results and recommendations for future work.

• 한국해양환경ㆍ에너지학회지
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• 제14권4호
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• pp.273-279
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• 2011

최근 관심이 높아지고 있는 해상풍력 터빈의 성능평가를 위해 풍력터빈 날개에 대한 점성유동장 해석을 수행하였다. Fluent package를 사용하여 회전하는 비관성 좌표계에서 Reynolds-averaged Navier-Stokes 방정식의 해를 구하였다. 난 류 모형은 realizable k-$\varepsilon$ 모델을 사용하였으며, 격자계는 구조 격자계와 비구조 격자계를 혼합하여 사용하였다. 먼저 실험값이 공개되어 있는 2차원 날개에 대한 유동해석을 통해 수치계산 결과를 검증하였다. 다음으로 NACA 4-series 단면을 가지는 세 개의 날개가 2 MW의 정격출력을 내도록 설계된 풍력터빈 날개를 대상으로 회전수와 피치각을 고정시킨 상태에서 입사류의 속도를 변화하여 주속비 별로 성능해석을 수행하였다. 그리고 풍력터빈의 성능향상을 위해 날개의 끝에 세 가지 형태의 날개 끝판을 붙여 성능 변화를 추정하였다. 그 중에서 날개의 흡입면에 날개 끝판을 붙인 경우가 가장 우수한 성능을 보였다. 또한 풍력터빈 날개가 경사각과 레이크를 가진 경우에 대하여 출력계수를 각각 비교하였다.