• 한국전기전자재료학회:학술대회논문집
• /
• 한국전기전자재료학회 1999년도 춘계학술대회 논문집
• /
• pp.157-160
• /
• 1999

The paper provides the results of failure analysis for the porcelain suspension insulators. The comparisons of characteristics were made as a function of failed and unfailed isulators which had been used in real distribution line. This paper also described the failure modes which could be occurred in the fields. The cracks inside cap were detected though measuring the resistance or the leakage current. The ratio of open porosity was calculated from the Archimedes Method. The failure analyses of porcelain suspension insulators were conducted from the various analysis method.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2004년도 춘계학술대회
• /
• pp.1981-1986
• /
• 2004

A cross-flow fan relatively makes high dynamic pressure at low speed because a working fluid passes through an impeller blade twice and blades have a forward curved shape. Therefore, the performance of a cross-flow fan is influenced 25% by the impeller, 60% by the rearguider and the stabilizer, 15% by the heat exchanger. At the low flow rate, there exists a rapid pressure head reduction, a noise increase and an unsteady flow against a stabilizer and a rearguider. Moreover, it is difficult to analyze the reciprocal relations of the cross-flow fan because each parameter is independent. Numerical analyses are conducted with different starting angles of the rearguider. Two-dimensional, unsteady governing equations are solved, using FVM, PISO algorithm, sliding grid system and ${\kappa}-{\varepsilon}$ standard turbulence model.

• 한국항해항만학회지
• /
• 제28권2호
• /
• pp.141-148
• /
• 2004

The observations of rapid motion of bubbles under water for approximately 50ms or less in high . magnetic fields of 10 T have been carried out successfully for the first time. The observation system constructed is composed of a high-speed video camera, a telescope, a cryostat with a split-type superconducting magnet, a light source, a mirror and a transparent sample cell. Using this system, the influence of magnetic field on the path and shape of single bubbles of $O_2$(paramagnetism) and $N_2$ (diamagnetism) has been examined carefully. Experimental values describing the path are in good agreement with theoretical values calculated on the basis of the magneto-Archimedes effect, despite the effect of magnetism on the bubble. However, no effect of magnetism on the shape of the bubble is observed In addition, the influence of magnetic field on drag coefficient of the bubble is discussed.

• Tribology and Lubricants
• /
• 제20권3호
• /
• pp.157-162
• /
• 2004

The cam curve of a balance type vane pump consists usually of circular arcs and Archimedes' spirals. However, if they are connected directly together, the curve must have a few discontinuous points of the gradients and the motion of the vanes is no longer smooth. Designing data for an oil hydraulic vane pump used in power steering system were obtained by the acquisition of optimum cam profile data which can be available to reduce noises and vibrations through the minimization of cavitation with the improvement of suctional performance. The performance test is carried on the trial manufactures by measuring the volumetric and the mechanical efficiency. And from that result, maintaining the same characteristic as the conventional one in the relief pressure and noise level, the experimental pump discharges 0.7 $\ell$/min and shows nearly 3.5% enhancement in the total efficiency more than the conventional one.

• 한국수학사학회지
• /
• 제16권1호
• /
• pp.17-24
• /
• 2003

The Pythagorean equation $x^2{＋}y^2{=}z^2$ and Pythagorean triple had appeared in the Babylonian clay tablet made between 1900 and 1600 B. C. Another quadratic equation called Pell equation was implicit in an Archimedes' letter to Eratosthenes, so called ‘cattle problem’. Though elliptic equation were contained in Diophantos’ Arithmetica, a substantial progress for the solution of cubic equations was made by Bachet only in 1621 when he found infinitely many rational solutions of the equation $y^2{=}x^3{-}2$. The equation $y^2{=}x^3{+}c$ is the simplest of all elliptic equations, even of all Diophantine equations degree greater than 2. It is due to Bachet, Dirichlet, Lebesque and Mordell that the equation in better understood.

• 대한수학회보
• /
• 제59권2호
• /
• pp.407-417
• /
• 2022

Archimedes proved that for a point P on a parabola X and a chord AB of X parallel to the tangent of X at P, the area of the region bounded by the parabola X and the chord AB is four thirds of the area of the triangle ∆ABP. This property was proved to be a characteristic of parabolas, so called the Archimedean characterization of parabolas. In this article, we study strictly convex curves in the plane ℝ². As a result, first using a functional equation we establish a characterization theorem for quadrics. With the help of this characterization we give another proof of the Archimedean characterization of parabolas. Finally, we present two related conditions which are necessary and sufficient for a strictly convex curve in the plane to be an open arc of a parabola.

• 대한수학교육학회지:학교수학
• /
• 제7권4호
• /
• pp.391-402
• /
• 2005

도형의 무게중심에 대한 일반적인 고찰은 삼각형의 무게중심에 대한 오개념을 올바르게 이해하게 해 주며, 일반화와 특수화, 해의 존재성과 유일성, 실세계의 수학적 모델링, 공리적 방법론 등과 관련하여 교육적으로 유익한 논의를 유발시킨다 는 점에서 가치가 있다. 본 연구는 무게중심에 대한 오개념의 파악과 해소를 위한 수학적 분석을 제시했으며, 다각형의 무게중심을 구하는 학생들의 잘못된 전략을 분석하여 교육적인 시사점을 얻었다. 또한, 다각형 무게중심의 탐구과정에서 제기될 수 있는 논리적 문제를 밝히고 해결하였다.

• 한국전산유체공학회지
• /
• 제13권4호
• /
• pp.72-79
• /
• 2008

This study is to investigate the air flow around a sirocco fan which is used in a range hood. The main object of the study is to improve the flow rate of the fan by analysis of unsteady 3-dimensional incompressible flow. Overall analysis is carried out using CFD method. For this, we used a commercial code, SC/Tetra, and used a sliding mesh method to give the same condition as an actual state. First, verification of the CFD results is done by comparing the experimental data with the numerical data for the suction flow rate. It is confirmed that two results are well consistent. Then for the improvent of flow rate, the effect of shape factors such as diameter ratio of fan, geometry of case, cut-off aperture and guide angle of case exit on the suction flow rate was considered. Especially, for a new design of housing, the principle of Archimedes spiral was used. The overall analysis was applied to a new design of housing, and the result showed an increase of flow rate by 10.7%.

• 한국학교수학회논문집
• /
• 제11권1호
• /
• pp.19-30
• /
• 2008

카발리에리는 아르키메데스의 구의 부피에 대한 연구결과를 재구성하는 과정에서 면적은 무한히 많은 평행한 선분으로, 부피는 무한히 많은 평행한 면적으로 구성된다고 하였다. 이것을 면적과 부피에 대한 불가분량이라 하고 이 원리를 발전시켜 카발리에리의 원리를 발견하였다. 본 연구에서는 영재학생들이 피라미드의 부피를 찾는 과정에서 카발리에리의 원리를 발견하고 이를 적용하고 일반화하는 교수 학습모형을 제시하였다.

• 한국신재생에너지학회:학술대회논문집
• /
• 한국신재생에너지학회 2010년도 추계학술대회 초록집
• /
• pp.89.1-89.1
• /
• 2010

본 연구는 세라믹 연결재로 사용되는 Perovskite 구조의 LSTO조성의 실제 SOFC stack 적용을 위한 소결온도를 낮출 수 있는 방법에 관해 연구하였다. SOFC 단전지에서 IC 소재는 $1300{\sim}1400^{\circ}C$에서 소결이 이루어져야만 하나 현재 사용하고 있는 LCO계 조성의 경우 $1500{\sim}1600^{\circ}C$의 높은 온도에서 소결이 이루어지며 고온에서 $Cr_2O_3$의 휘발로 인해 낮은 전기전도성을 갖는 문제점을 가지고 있다. 이러한 문제점을 해결하기 위해 IC 소재에 소결조제를 첨가하여 소결특성을 평가하였고, SEM과 XRD분석을 통하여 perovskite 단일상이 합성된 것을 확인하였다. 또한 Archimedes법을 사용하여 흡수율 및 겉기공율을 측정하였고, DC analyzer를 사용하여 전기전도도를 측정한 결과 대기분위기 $750^{\circ}C$에서 높은 값을 나타냄을 확인할 수 있었다.