• Journal of Advanced Marine Engineering and Technology
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• 제22권4호
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• pp.436-444
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• 1998

Applicability of the RNG k-$\varepsilon$ model to the analysis of unsteady axisymmetric turbulent flow of a reciprocating engine including port/valve assembly is studied numerically. The governing equations based on non-orthogonal including port/valve assembly is studied numerically. The governing equations based on a non-orthogonal coordinate formulation with Cartesian velocity components are used and discretised by the finite volume method with non-staggered variable arrangements. The predicted results using the RNG k-$\varepsilon$ model of the unsteady axisymmetric turbulent flow within a cylinder of reciprocating model engine including port/valve assembly are compared to these from the modified k-$\varepsilon$ model and experimental data. Using the RNG k-$\varepsilon$ model seems the have some potential for the simulations of the unsteady turbulent flow within a port/valve-cylinder assembly over the modified k-$\varepsilon$model.

• 한국해안해양공학회지
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• 제15권2호
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• pp.80-85
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• 2003

본 연구에서는 Reynolds 방정을 지배방정식으로 하고 난류 해석을 위해 k-$\varepsilon$모델을 사용하였으며, 자유수면 변위를 추적하기 위해 VOF기법을 사용한 수치해석 모델을 이용하여 다양한 주기를 갖는 크노이드파의 발생과 최대 처오름높이에 대해 알아보았다. 발생된 크노이드파의 파형은 해석해와 매우 잘 일치하였다 또한, 계산된 최대 처오름높이를 수리모형실험의 관측 값과 비교해 본 결과는 경계요소법에 의한 수치해보다 높은 정확도를 나타내었다.

• 대한수학회보
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• 제51권5호
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• pp.1299-1324
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• 2014

We prove the existence of uniform attractors $\mathcal{A}_{\varepsilon}$ in the space $H^1(\mathbb{R}^N){\cap}L^p(\mathbb{R}^N)$ for the following non-autonomous nonclassical diffusion equations on $\mathbb{R}^N$, $$u_t-{\varepsilon}{\Delta}u_t-{\Delta}u+f(x,u)+{\lambda}u=g(x,t),\;{\varepsilon}{\in}(0,1]$$. The upper semicontinuity of the uniform attractors $\{\mathcal{A}_{\varepsilon}\}_{{\varepsilon}{\in}[0,1]}$ at ${\varepsilon}=0$ is also studied.

• Nuclear Engineering and Technology
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• 제5권1호
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• pp.30-37
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• 1973

양극산화 피막의 임피단스(impedance)에 대한 니시다니식은 p-i-n 모델에 기초를 두고 $\omega$$\varepsilon$$\rho$$_{ο}$<<4$\pi$<<$\omega$$\varepsilon$$\rho$$_{\omega$}$의 가정하에서 유도된 것이다. 여기서 $\omega$는 각 주파수, $\varepsilon$는 유전상수, $\rho$$_{ο}$ and $\rho$$_{\omega}$는 양극산화피막의 계면과 중간영역의 비저항이다. 그러나 이 식의 파라데타를 전부 계산할 수 없기 때문에 이 식으로 양극산화피막의 물리적 모형을 분명히 할 수가 없다. 그러므로 $\omega$$\tau$$_{\omega}$1과 In(1+$\omega$$^2$$\tau$$^2$$_{ο}$)<<1이란 가정을 하여 임피단스에 대한 수정된 식을 유도하였다. 여기서 $\tau$$_{\omega}$=$\varepsilon$$\rho$$_{\omega}$/(4$\pi$) 및 $\tau$$_{ο}$=$\varepsilon$$\rho$$_{ο}$/(4$\pi$)로 정의된다. 양극산화피막을 가열하였을 때의 주파수톡성의 변화를 이 수정된 식으로 설명하였다. 양극산화피막을 가열하였을 매 양극산화피막의 임피단스의 변화는 주로 양극산화피막의 확산층의 증가와 비저항의 감소때문이라고 해석하였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 추계학술대회논문집B
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• pp.428-433
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• 2000

The characteristics of unsteady heat transfer and boundary layer flow in the SSME turbine rotor passage are investigated with LRN $k-{\varepsilon}$ turbulence model. The unsteady flow and heat transfer in a rotor blade passage as a result of wake/blade interaction is modeled by the inviscid/boundary-layer flow approach. The relevant governing equations are discretized to a system of finite different equations by means of a BTBCS implicit method. These equations have been solved numerically, for the velocity and temperature fields using TDMA method. Heat flux on the blade surface and flow parameters in the rotor passage are calculated with wake interaction. Numerical results show that velocity, pressure, turbulent kinetic energy and heat flux on the blade surface are varied periodically by wake passing.

• 한국해안해양공학회지
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• 제5권4호
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• pp.357-368
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• 1993

확산이 지배적인 흐름을 가정하여, 쇄파대의 해향저류와 난류구조에 대한 수치모형이 $ extsc{k}$-$\varepsilon$ 난류모형을 이용하여 개발되었다. 해향저류란 쇄파대에서 바다쪽으로 흐르는 주기평균된 강한 흐름을 말하며 주로 파곡 아래에 나타난다. 롤러에서 쇄파에 의해 발생된 난류는 아래쪽으로 퍼져나가면서 그 기운을 잃게된다. 지배 방정식은 파에 의한 주기평균-전단응력이 고려된 운동 방정식과 쇄파에 의한 난류 에너지 생성이 포함된 $textsc{k}$-와 $\varepsilon$-식으로 구성된다. 이 식들은 삼단계 완전 음해법으로 차분되고, Thomas 알고리즘으로 풀 수 있다. 쇄파지점에 가까운 곳을 제외하면, 모형은 실험값과 좋은 일치를 보여준다

• 한국방재학회:학술대회논문집
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• 한국방재학회 2007년도 정기총회 및 학술발표대회
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• pp.159-162
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• 2007

The numerical efforts are presented for investigation of irregular waves passing a slit cassion and a warock block breakwater. In the numerical model, the Reynolds equations are solved by a finite difference method and $k-\varepsilon$ model is employed for the turbulence analysis. To track the free surface displacement, the volume of fluid method(VOF) is employed. Numerical predictions of reflection and transmission coefficients are compared with those of the warock block breakwater with the slit caisson. Energy dissipation and seawater exchange rates of the slit caisson are better than those of the warock block breakwater.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 추계학술대회논문집B
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• pp.573-578
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• 2000

Flow through turbine flow meter is simulated by solving the incompressible Navier-Stockes equations. The solution method is based on the pseudocompressibility approach and uses an implicit-upwind differencing scheme together with the Gauss-Seidel line relaxation method. The equations are solved steadily in rotating reference frames and the centrifugal force and tile Coriolis force are added to the equation of motion. The standard $k-{\varepsilon}$ model is employed to evaluate turbulent viscosity. At first the stability and accuracy of the program is verified with the flow through a square duct with a $90^{\circ}$ bend and on the flat plate.

• 설비공학논문집
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• 제7권2호
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• pp.287-297
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• 1995

In this study, the geometry consists of a two-dimensional rectangular enclosure with localized heating from below. The size and the location of the heater on the floor has been varied, and one of the vertical walls remains at a low temperature simulating a cold window. The governing equations for momentum, energy and continuity, which are coupled with turbulent equations have been solved using a finite volume method. A low Reynolds number $k-{\varepsilon}$ model has been incorporated to solve the turbulent kinetic energy and the dissipation rate. The heat transfer characteristics and the thermal environmental characteristics of the room have been obtained for various system parameters in a room with a partially heated floor.

• Communications for Statistical Applications and Methods
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• 제8권1호
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• pp.153-158
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• 2001

A central limit theorem is obtained for stationary linear process of the form -Equations. See Full-text-, where {$\varepsilon$$_{t}$} is a strictly stationary sequence of linearly positive quadrant dependent random variables with E$\varepsilon$$_{t}$=0, E$\varepsilon$$^2$$_{t}$<$\infty$ and { $a_{j}$} is a sequence of real numbers with -Equations. See Full-text- we also derive a functional central limit theorem for this linear process.ocess.s.