• Biotechnology and Bioprocess Engineering:BBE
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• 제5권5호
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• pp.332-339
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• 2000

Experimental and theoretical works were performed for the separation of large polyelectrolytes such as DNA in the column packed with gel particles under an electric field. This paper shows how intraparticle convection effects the separation of DNAs in the column because DNAs quickly oriented through the pores in the field direction. Dimensionless transient mass balance equations were derived considering diffusion and electrophoretic convection. The separation criteria is theoretically studied using two different Peclet numbers in the fluid and solid phases and these criteria were verified uing two different DNAs by electrophoretic mobilities measured experimentally, showing how the separation position of DNAs varies in the column according to values of Pe(sub)f/Pe(sub)g of individual DNA. Governing equations are simultaneously solved by operator theoretic and characteristic methods to yield the column response.

• 한국전산유체공학회지
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• 제21권1호
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• pp.43-49
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• 2016

Thermal cracking is commonly modeled as plug flow reaction, neglecting the lateral gradients present. In this paper, 2-dimensional computational fluid dynamics including turbulence model and molecular reaction scheme are carried out. This simulation is solved by means of coupled implicit scheme for stable convergence of solution. The reactor is modeled as an isothermal tube, whose length is 1.2 m and radius is 0.01 m, respectively. At first, The radial profile of velocity and temperature at each point are predicted in its condition. Then the bulk temperature and conversion curve along the axial direction are compared with other published data to identify the reason why discussed variations of properties are important to product yield. Finally, defining a new non-dimensional number, Effect of interaction with turbulence, heat transfer and chemical reaction are discussed for design of thermal cracking furnace.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2007년도 추계학술대회 논문집
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• pp.1605-1609
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• 2007

In the case of Linear induction motor(LIM), numerical analysis method like Finite Element Method(FEM) has been mainly used to analyze the travelling magnetic field problem which includes the velocity-induced electromotive force. If the problem including the velocity-induced electromotive force is analyzed by FEM using Galerkin method, the solution can be oscillated according to Peclet Number, which is determined by conductivity, permeability, moving velocity and size of mesh. Consequently, the accuracy of the solution can be low and the Loops of flux can be occurred at the secondary back-iron. These loops of flux occurred at the secondary back-iron does not exist physically, but it can be occurred in the analysis. In this case, the loops of flux can be generally removed by using Up-Wind method which is impossible to apply a conventional S/W tool(Maxwell 2D). Therefore, in this paper, authors examined the Loops of flux occurred at the secondary back-iron of LIM according to variations of Peclet Number, and analyzed whether these loops of flux affect on the thrust force characteristics of LIM or not.

• 한국토양환경학회지
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• 제5권1호
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• pp.3-12
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• 2000

다영역 모델은 Preferential 흐름에 대한 해석을 위하여 토양을 여러개의 공극군으로 나누고 각 토양의 수리학적 특성을 이용하여 토양내의 흐름을 표현한 방정식이다. 이 모델을 유한차분법을 이용하여 수치적으로 풀이할 때 해의 정확도와 일관성을 분석하기위해 수정등가편미분방정식(MEPDE)을 구하고, 안정성을 분석하기위해 Von Neumann법을 이용한다. 수정등가편미분방정식을 이용하여 얻은 유한차분계에 대한 평가는 모델방정식에 대하여 일관성이 있는 것으로 나타났고 모델방정식에 대한 유한차분법은 2차의 정확도를 얻었다. 모델방정식의 안정성 해석은 Von Neumann방법을 이용하여 진폭도와 위상지연을 구하고 이를 분석하였다. 유한차분계의 진폭비는 Peclet수의 변화에 관계없이 비분산적이었으며 Peclet수가 1.0일때 가장 큰 값을 나타냈고, 위상지연은 참값에 대한 빈도요소보다 더 느리게 파동함을 나타냈다. 모델방정식의 안정성 해석 결과, 모델의 영역분해는 보다 정확한 결과를 얻기 위해서 Peclet수는 1.0보다 작고 Courant수는 3.0보다 작은 범위 안에서 분해하는 것이 좋은 것으로 분석된다.

• 한국수자원학회논문집
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• 제31권5호
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• pp.599-612
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• 1998

수송방정식의 양면적은 특성으로 인하여 이송항이 지배적인 흐름에 있어서 수송방정식의 수채해석은 매우 난해하다. 특히 유한요소법을 사용하여 수치해석할 때, 상류방향으로 더 많은 가중치를 두기 위하여 변화된 시행함수를 사용한다. 이러한 방법을 Petrov-Galerkin 방법이라고 한다. 본 논문에서는 N+1 과 N+2 Petrov-Galerkin 방법을 격자 Peclet 수가 큰 수송문제에 적용하였다. 주파수맞춤 기법을 사용하여 N+2 Petrov- Galerkin 방법을 격자 Peclet 수가 큰 소송문제에 적용하였다. 주파수맞춤 기법을 사용하여 N+2 Petrov-Galerkin 방법의 적정 풍상정도를 찾아내었고, 그 결과를 토의하였다. 이 기법의 시행함수는 이송항과 확산항의 상대적 크기에 따라 그 모양이 변화된다. 수치실험을 통하여 제시된 새로운 수치해석기법의 우수성을 설명하였다.

• 한국연소학회지
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• 제17권1호
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• pp.48-57
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• 2012

Laminar lifted propane coflow-jet flames diluted with nitrogen were experimentally investigated to determine heat-loss-related self-excitation regimes in the flame stability map and elucidate the individual flame characteristics. There exists a critical lift-off height over which flame-stabilizing effect becomes minor, thereby causing a normal heat-loss-induced self-excitation with O(0.01 Hz). Air-coflowing can suppress the normal heat-loss-induced self-excitation through increase of a Peclet number; meanwhile it can enhance the normal heat-lossinduced self-excitation through reducing fuel concentration gradient and thereby decreasing the reaction rate of trailing diffusion flame. Below the critical lift-off height. the effect of flame stabilization is superior, leading to a coflow-modulated heat-loss-induced self-excitation with O(0.001 Hz). Over the critical lift-off height, the effect of reducing fuel concentration gradient is pronounced, so that the normal heat-loss-induced self-excitation is restored. A newly found prompt self-excitation, observed prior to a heat-loss-induced flame blowout, is discussed. Heat-loss-related self-excitations, obtained laminar lifted propane coflow-jet flames diluted with nitrogen, were characterized by the functional dependency of Strouhal number on related parameters. The critical lift-off height was also reasonably characterized by Peclet number and fuel mole fraction.

• 한국추진공학회지
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• 제13권2호
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• pp.64-76
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• 2009

대향류확산화염에서 화염소화와 에지화염 진동 특성에 관한 실험 및 수치해석 연구가 수행된다. 이러한 특성들은 버너 직경, 버너간 거리, 전체신장율, 그리고 속도비를 변화시키며 묘사된다. 실험과 수치해석으로부터 반경방향으로 전도열손실이 미소중력 및 중력 조건에서 화염소화와 에지화염 진동에 크게 기여한다는 것이 입증된다. 적절히 작은 버너직경을 사용한 경우에 화염 소화 모드는 4가지로 분류되며, 과다한 반경방향 열손실에 기인한다는 것이 밝혀진다. 에지화염 진동은 Strouhal 수와 Peclet 수에 의해 하나의 곡선으로 잘 특성화된다.

• 한국미생물생명공학회:학술대회논문집
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• 한국미생물생명공학회 1978년도 추계학술대회
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• pp.206.1-206
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• 1978

발효공업에 있어서 오염에 영향을 주는 미생물의 열살균 속도를 $120~130^{\circ}C$ 범위에서 조사하였다. 살균속도에 대한 온도의 영향은 Arrhenius식으로 다음과 같이 표시되었다. K=3.47$\times$$10^{28}$ EXP(-52.3 Kcal/RT)원형 반응기의 비이상혼합효과를 보기 위하여 난류영역에서 methylene blue 용액을 사용하여 계단압력을 주어 그 과도응답을 측정한 결과 체류시간 분포는 dispersion 모형에 잘 부합되었고 peclet number 100 을 얻었다. 당밀을 열분해시키면 hydroxymethl furfural이 생성되는 것을 확인하였고 온도와 pH에 따라 검토한 결과 고온의 산성용액에서 반응은 촉진되었다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1998년도 하계학술대회 논문집 A
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• pp.113-115
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• 1998

This paper presents the indirect boundary integral equation method(BIEM) to analyze 3D moving conductor problem. Instead of an artificial upwind algothm, the proposed method uses a fundamental Green's function which is a particular solution of diffusion equation. Therefore, this method yields a stable and accurate solution regardless of the Peclet number. The indirect BIEM is compared with 3D upwind FEM for a numerical model which has analytic solutions.

• 설비공학논문집
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• 제7권2호
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• pp.184-195
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• 1995

A theoretical one-dimensional model for the charging process in stratified thermal storage tanks is established presuming that the fluid ensuing from the tank inlet creates a perfectly mixed, layer above the thermocline. Both the generic and asymptotic closed-form solutions are obtained via the Laplace transformation. The asymptotic solution describes the nature of the charging pertaining to the case of no thermal diffusion, whereas the generic solution is of practical importance to understand the role of operating parameters on the stratification. The present model is validated through comparison with available experimental data, where they agree well with each other within a reasonable limit. An interpretation of the exact solution entails two important features associated with the charging process. The first is that an in-crease in the mixing depth $h_m$ causes a relatively slow temperature rise in the perfectly mixed region, but on the other hand it results in a faster decay of the overall temperature gradient across the thermocline. Next is the predominance of the mixing depth in the presence of the prefectly mixed region. In such a case the effect of the Peclet number is marginal and there-fore the thermal characteristics are solely dependent on the mixing depth paticularly for large $h_m$. The Peclet number affects significantly only for the case without mixing. Variation of the storage efficiency in response to the change in the mass flow rate agrees favorably with the published experimental results, which confirms the utility of the present study.