• Nuclear Engineering and Technology
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• 제52권11호
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• pp.2491-2498
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• 2020

The paper concentrates on an experimental study of the pressure drop in double-layered packed beds formed by glass spheres, having the configuration of horizontal and vertical stratification. Both single-phase and two-phase flow tests are performed. The pressure drop during the test is recorded and the measured data are compared with those of homogeneous beds consisting of mono-size particles. The results show that for the horizontally stratified bed with fine particles atop coarse particles, the pressure drop in top layer is found higher than those of homogenous bed consisting of the same smaller size particles, while the measured pressure drop of bottom part is similar with those of similar homogenous bed. But for the homologous bed with upside-down structure, the stratification has little or no effect on the pressure drop of the horizontally stratified bed, and the pressure drop of each layer is almost same as that of homogeneous bed packed with corresponding spheres. Additionally, in vertically stratified bed, the pressure drops on the left and right side is almost equal and between those in homogeneous beds. It is speculated that vertically stratified structure may lead to lateral flow which redistributes the flow rate in different parts of packed bed.

• 산업경영시스템학회지
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• 제41권4호
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• pp.123-130
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• 2018

Triangulation is one of the fundamental problems in computational geometry and computer graphics community, and it has huge application areas such as 3D printing, computer-aided engineering, surface reconstruction, surface visualization, and so on. The Delaunay refinement algorithm is a well-known method to generate quality triangular meshes when point cloud and/or constrained edges are given in two- or three-dimensional space. In this paper, we propose a simple but efficient algorithm to triangulate Voronoi surfaces of Voronoi diagram of spheres in 3-dimensional Euclidean space. The proposed algorithm is based on the Ruppert's Delaunay refinement algorithm, and we modified the algorithm to be applied to the triangulation of Voronoi surfaces in two ways. First, a new method to deciding the location of a newly added vertex on the surface in 3-dimensional space is proposed. Second, a new efficient but effective way of estimating approximation error between Voronoi surface and triangulation. Because the proposed algorithm generates a triangular mesh for Voronoi surfaces with guaranteed quality, users can control the level of quality of the resulting triangulation that their application problems require. We have implemented and tested the proposed algorithm for random non-intersecting spheres, and the experimental result shows the proposed algorithm produces quality triangulations on Voronoi surfaces satisfying the quality criterion.

• 한국학교수학회논문집
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• 제20권4호
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• pp.445-464
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• 2017

본 연구에서는 공간도형을 학습한 고등학교 3학년 자연계열 학생들을 대상으로 Geogebra를 활용한 분석적 방법을 통해 삼각형의 내접원, 외접원 작도에서 사면체의 내접구, 외접구 작도로의 유추적 발견 과정을 분석하였다. 학생 10명을 연구 대상으로 선정하여 분석적 방법을 경험한 학생들과 그렇지 않은 학생들에 대해서 본집단과 비교집단으로 각각 5명씩 구성하여 사면체의 내접구, 외접구 작도 과정을 살펴보았다. 본집단과 비교집단 모두 삼각형의 내접원, 외접원 작도에 대한 정확한 사전지식이 학습되어 있으나 사면체의 내접구, 외접구 작도를 어려워하였다. 하지만 분석적 방법으로 Geogebra를 활용해 삼각형의 내접원, 외접원의 작도과정을 거꾸로 찾아가며 작도방법을 탐구한 본집단의 학생들은 스스로 작도방법을 유추하여 사면체의 내접구, 외접구의 작도방법을 찾아내는 유추적 발견이 가능하였다. Geogebra를 통해 시각화가 이루어짐으로써 도형의 조작과 탐구가 가능하였고 변화과정을 직접 살펴봄으로써 학습자 자신의 유추 과정을 즉각적으로 확인하고 피드백 할 수 있었다. 또한 추론 결과에 대한 정당성을 부여할 수 있었을 뿐만 아니라 기하 탐구에 대한 수학적 태도에 긍정적인 영향을 주었다.

• 대한수학회보
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• 제49권2호
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• pp.285-293
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• 2012

In this paper, we investigate the hypersurface M in a unit sphere with constant k-th mean curvature and two distinct principal curvatures, and characterize such a hypersurface.

• 한국컴퓨터그래픽스학회논문지
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• 제18권3호
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• pp.1-7
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• 2012

본 논문에서는 단백질 분자 간의 인터페이스를 계산하는 알고리즘을 제안한다. 분자가 반데르바스 (van der Waals) 반경을 갖는 구의 집합으로 표현될 때, 공간 상의 한 점 p로부터 분자까지의 거리는 p로부터 가장 가까운 구까지의 거리에 대응한다. 분자 인터페이스는 두 개의 분자에 대해 같은 거리에 있는 점들로 구성된다. 제안된 알고리즘은 공간을 복셀의 집합로 분할한뒤, 각 복셀을 지나는 구의 위치 정보를 저장하여 복셀맵 (voxel map)을 구성하였다. 복셀맵을 이용하여 한 점으로부터 분자까지의 거리를 계산하며, GPU (graphic processor unit)를 이용하여 병렬처리를 수행함으로써 효율적으로 인터페이스를 근사한다.

• 천문학회지
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• 제19권1호
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• pp.33-49
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• 1986

Radial distribution of internal density has been determined for thirteen subclouds in the three giant molecular cloud complexes accompanying Mon OB1, Mon OB2 and CMa OB1 associations, We modeled their radial density structures with the density distribution of isothermal gas spheres. Most of the subclouds, nine out of the thirteen, are well described by isothermal spheres of single component; while the rest four require an additional component. Total mass and potential energy of each subcloud are also derived from the radial density structure; thermal energy and internal velocity dispersion required for sustaining the density structure are deduced from the isothermal gas model. Our derived masses of the clouds are comparable to the values determined by Blitz (1978) under LTE assumption. This agreement suggests that the correction factor for non-LTE effect on mass-estimate is not far from unity. The ratio of the gravitational potential energy to the kinetic energy of thermal motion is as large as 250; hence the thermal motion alone cannot support these clouds against the gravity. Being supported by turbulence motion with velocities of six to seven times the thermal velocity, the clouds of one-component type seem to be in equilibrium with the gravity; while the clouds of two-component type are likely to be in the stage of gravitational collapse.

• East Asian Economic Review
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• 제24권3호
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• pp.207-235
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• 2020

Acknowledging that individuals dislike having low relative income renders trade less attractive when seen as a technology that integrates two economies by merging separate social spheres into one. We define a "trembling trade" as a situation in which gains from trade are less than losses in relative income, with the result that global social welfare is reduced. We show that a "trembling trade" can arise even when trade is more gainful in four ways: through trade the absolute income of everyone increases, the income gap in both economies is reduced, as is the income gap between the trading economies. However, trade brings populations, economies, or markets that were not previously connected closer together in social space. As a consequence, separate social spheres merge, and people's social space and their comparators are altered. Assuming that people like high (absolute) income and dislike low relative income, the aggregate increase in unhappiness caused by the trade-induced escalation in relative deprivation can result in a negative overall impact of trade on (utilitarian-measured) social welfare, if the absolute income gains are not large enough to mitigate the relative income losses.

• 대한수학회보
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• 제50권1호
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• pp.135-142
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• 2013

In the present paper, we discuss the rigidity phenomenon of closed minimal submanifolds in a locally symmetric Riemannian manifold with pinched sectional curvature. We show that if the sectional curvature of the submanifold is no less than an explicitly given constant, then either the submanifold is totally geodesic, or the ambient space is a sphere and the submanifold is isometric to a product of two spheres or the Veronese surface in $S^4$.

• 한국에너지공학회:학술대회논문집
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• 한국에너지공학회 2003년도 추계 학술발표회 논문집
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• pp.299-304
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• 2003

Heat regenerator occupied by regenerative materials improves thermal efficiency of regenerative combustion system through the recovery of sensible heat of exhaust gases. By using one-dimensional two-phase fluid dynamics model, the unsteady thermal flow of regenerators with spherical particles were numerically analyzed to evaluate performance of ratio of waste heat recovery and temperature efficiency and to suggest optimized conditions of heat regenerator. It is predicted that exhaust gases temperature at regenerator outlet of 3.5$\times$10$^{6}$ kcal/hr heat regenerator is even lower than design condition and ratio of waste heat recovery is 75.8％.

• 대한수학회보
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• 제25권2호
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• pp.171-174
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• 1988

Let M be an n-dimensional compact connected and oriented Riemannian manifold isometrically immersed in an (n+2)-dimensional Euclidean space $R^{n+2}$. Moore [5] proved that if M is of positive curvature, then M is a homotopy sphere. This result is generalized by Baldin and Mercuri [2], Baik and Shin [1] to the case of non-negative curvature, which is stated as follows: If M of non-negative curvature, then M is either a homotopy sphere or diffeomorphic to a product of two spheres. In particular, if there is a point at which the curvature operator is positive, then M is homeomorphic to a sphere.e.