• Advances in concrete construction
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• 제17권1호
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• pp.37-43
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• 2024

In this paper, boundary layer flow is observed through stretching cylinder exponentially with non-linear velocity. This cylinder is rested in porous medium. Appropriate similarity transformation is employed for the conversion of governing PDEs into ODEs. To compute the problem and solution series numerical method is applied and evaluated by using finite difference Keller-Box method. The velocity ratio, permeability parameter, Reynold number is figure out to examine the effect of on velocity profile. Fluid velocity and skin friction coefficient goes down with increment of Reynold number and permeability parameter. While reverse behavior is reported for velocity ratio. The results are validated with earlier investigations and found very well.

• 한국화재소방학회논문지
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• 제8권1호
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• pp.9-20
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• 1994

본 논문은 수직평판 위에 형성된 층류 확산화염의 현상적인 문제를 파악하는 수치적 연구를 수행하였다. 수치적 방법으로는 Keller-box method를 사용하였다. 지배방정식은 매우 얇은 화염면 가정을 도입하여 간단화 시킬 수 있으며, 에너지와 화학성분 식은 Schvab-Zeldovich 변수를 이용하여 무차원화 하였다. 물리적 공간은 연소영역과 전파영역으로 나누었고, 복사열전달을 고려하였다. 연구의 결과, 층류확산 화염의 전형적인 현상들이 관찰되었으며, code의 신뢰성을 확인할 수 있었으며, 이를 통해 복사열손실의 영향에 따른 제반 현상들을 파악하여 비교, 분석할 수 있었다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제12권4호
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• pp.249-260
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• 2008

In this work we propose a mixed finite volume method for the Signorini problem which are based on the idea of Keller's finite volume box method. The triangulation may consist of both triangles and quadrilaterals. We choose the first-order nonconforming space for the scalar approximation and the lowest-order Raviart-Thomas vector space for the vector approximation. It will be shown that our mixed finite volume method is equivalent to the standard nonconforming finite element method for the scalar variable with a slightly modified right-hand side, which are crucially used in a priori error analysis.

• Journal of Advanced Marine Engineering and Technology
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• 제31권7호
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• pp.833-841
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• 2007

The aim of this paper is to analyze the conjugate problems of heat conduction in solid walls coupled with laminar free convection flow adjacent to a vertical flat plate under boundary layer approximation. Using the similarity transformations the governing boundary layer equations for momentum and energy are reduced to a system of partial differential equations and then solved numerically using Finite Difference Method(FDM) known as the Keller-box scheme. Computed solutions to the governing equations are obtained for a wide range of non-dimensional parameters that are present in this problem, namely the coupling parameter P. the Prandtl number Pr and the heat generation parameter Q. The variations of the local heat transfer rate as well as the interface temperature and the friction along the plate and typical velocity and temperature profiles in the boundary layer are shown graphically. Numerical solutions have been consider for the Prandtl number Pr=0.70

• 대한기계학회논문집
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• 제14권3호
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• pp.725-733
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• 1990

본 연구에서는 Raju등의 연구의 확장으로 일정한 온도로 유지되는 경사진 평 판에 대하여 혼합대류 전 영역에 유효한 부력계수(.xi.)로서 (1+Gr$^{2}$$_{x}$cos.gamma./ Re$^{4}$$_{x}$)$_{-1}$를 적용하여 비상사 경계층 방정식을 유도하였다. 또한 적분 형 경계조건을 가진 편미분 경계층방정식을 유한차분법으로 Keller와 Cebeci의 Box scheme을 6차로 적용하여 수치해석하였다. 부력계수가 큰 영역에서 Mucoglu등의 해 석적 연구결과는 일정한 온도와 45˚의 경사를 유지하는 평판에 대한 Ramachandran의 실험적 연구결과와 약 10%정도 벗어난다. 이에 Ramachandran의 실험적 연구를 해석 적으로 재고찰하였다.하였다.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.67-83
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• 2007

The characteristics of steady two-dimensional laminar boundary layer flow of a viscous and incompressible fluid past a moving wedge with suction or injection are theoretically investigated. The transformed boundary layer equations are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of Falkner-Skan power-law parameter (m), suction/injection parameter ($f_0$) and the ratio of free stream velocity to boundary velocity parameter (${\lambda}$) are discussed in detail. The numerical results for velocity distribution and skin friction coefficient are given for several values of these parameters. Comparisons with the existing results obtained by other researchers under certain conditions are made. The critical values of $f_0$, m and ${\lambda}$ are obtained numerically and their significance on the skin friction and velocity profiles is discussed. The numerical evidence would seem to indicate the onset of reverse flow as it has been found by Riley and Weidman in 1989 for the Falkner-Skan equation for flow past an impermeable stretching boundary.