• Title/Summary/Keyword: Rectangular Geometry

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An Algorithm for Computing a Minimum-Width Color-Spanning Rectangular Annulus (모든 색을 커버하는 최소 두께 직사각형 고리를 계산하는 알고리즘)

  • Bae, Sang Won
    • Journal of KIISE
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    • v.44 no.3
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    • pp.246-252
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    • 2017
  • In this paper, we present an algorithm that computes a minimum-width color spanning axis-parallel rectangular annulus. A rectangular annulus is a closed region between a rectangle and its offset, and it is thus bounded by two rectangles called its outer and inner rectangles. The width of a rectangular annulus is determined by the distance between its outer and inner rectangles. Given n points in the plane each of which has one of the prescribed k colors, we call a rectangular annulus color spanning if it contains at least one point for each of the k colors. Prior to this work, there was no known exact algorithm that computes a minimum-width color-spanning rectangular annulus. Our algorithm is the first to solve this problem and it runs efficiently in $O((n-k)^3nlogn)$ time.

The Characteristic of Hydrogen Generation on the Structure of Plasma Reactor Using the Streamer Discharge in the Water (수중 스트리머 방전용 플라즈마 반응기 구조에서 수소발생 특성)

  • Park, Jae-Youn;Kim, Jong-Seok
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.20 no.4
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    • pp.37-42
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    • 2006
  • The effect of arc like streamer discharge is investigated on the hydrogen generation using the multineedle-plate electrode geometry plasma realtor(MPER) and the needle-plate electrode geometry plasma reactor(NPER). In order to restrict waves at the water surface when the high voltage applied, two kinds of the insulator such as the rectangular mesh or the hole mesh type are installed under the water surface. The discharge assistant of the two type(the saw type and the $TiO_2$ pellet type) was placed under the water surface to investigate the effect of the water surface conditions. The experimental results are compared in case of the reactor with and without the discharge assistant on the water surface.

Design of Microwave Unequal Power Dividers Using Defected Ground Structure (결함접지구조를 이용한 초고주파 비대칭 전력 분배기 설계)

  • Lim, Jong-Sik;Koo, Jae-Jin;Oh, Seong-Min;Ahn, Dal;Choi, Kwan-Sun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.6
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    • pp.1099-1104
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    • 2007
  • A 1:6 Unequal 2-way Wilkinson power divider is proposed. The required microstrip line with $207{\Omega}$ characteristic impedance for 1:6 power divider is realized by adding defected ground structure (DGS) to the standard microstrip line. The adopted DGS has the rectangular geometry which results in the increased characteristic impedance. The rectangular-shaped DGS produces the transmission line having much higher characteristic impedance due to the increased equivalent inductance. The measured performances of the fabricated 1:6 power divider show the expected S-parameters with a good agreement with the predicted ones.

Flow Patterns and Critical Circulation Frequency for Mixing in Shaking Vessels with Various Geometry (진동교반조의 기하형상에 따른 유동상태와 혼합한계회전수)

  • Lee, Young-Sei;Kim, Moon-Gab;Kim, Jong-Shik;Ue, Takafumi;Kato, Yoshihito
    • Journal of the Korean Society of Industry Convergence
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    • v.6 no.1
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    • pp.49-56
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    • 2003
  • Based on the flow patterns of cylindrical vessel, the flow patterns of conical vessel, spherical vessel, rectangular vessel and cylindrical vessel with baffles were visualized by a trace method using aluminum powder. In addition, the correlations of the critical circulating frequency for mixing were derived from the experimental results. The conical and spherical vessels which have circular cross sections were same effective as cylindrical vessel for the shake mixing due to developing the rotational flow. Both a rectangular vessel and a cylindrical vessel with baffles should not be adapted for shake mixing because of not developing rotational flows in these type of vessels.

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Analysis of natural convection-radiation heat transfer using the finite volume method in enclosure (유한체적법을 이용한 밀폐공간내의 자연대류-복사열전달 해석)

  • 박광수;박경우;박희용
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.10 no.1
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    • pp.95-107
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    • 1998
  • Natural convection and radiation heat transfer in a square enclosure containing absorbing, emitting, and isotopically scattering(participating) media is studied numerically using the finite volume method. Various numerical methods are employed to analyze the radiative heat transfer. However, it is very difficult to choose the proper method. In present study, a finite volume method(FVM) and a discrete ordinates method(DOM) are compared in rectangular enclosure. The SIMPLER algorithm is used to solve the momentum and energy equations. Thermal and flow characteristics are investigated according to the variation of radiation parameters such as optical thickness and scattering albedo. The result shows that the accuracy and the computing time of FVM are better than those of DOM in regular geometry.

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Thrbulent Wake Structure behind Rectangular Cylinders in a Uniform Shear Flow (균일한 전단류에 놓인 각주 후류의 난류구조)

  • 부정숙;양종필;구명섭
    • Journal of Advanced Marine Engineering and Technology
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    • v.18 no.1
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    • pp.101-113
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    • 1994
  • This research has presented and experimental investigation on the characteristics of turbulent wake past a rectanular cylinder, according to various width/height ratio such as B/H=2.0, 2.79, 3.0, and 4.0 in a uniform shear flow. In order to perform this study, a special shear flow generator which produces the uniform shear flow has been designed and manufactured. It is found that the characteristics of the wake in a uniform shear flow are quite different from those of a uniform flow and vary with shear rate. And also, the formation of regular vortex structure is concerned with shear rate.

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Optimal Design on a Channel of Rectangular Suction Sludge Collector and the Flow Characteristics of Wastewater (장방형 흡입식 슬러지 수집기에서 수로의 최적설계 및 폐수 유동특성)

  • Yong, Jung-Kwon;Choi, Chung-Ryul;Kim, Chang-Nyung
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1034-1039
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    • 2008
  • Recently, the sludge suction collector is preferred rather than the scraper type sludge collector due to enhancement of the clarifier efficiency. The sludge suction collector is usually operated by the user's experience without any scientific and technical consideration. There are many factors that should be considered for higher quality of discharged water and stabilized flow in the rectangular sludge suction collector but, the optimal design on the inflow channel and orifices connecting with the inflow channel is needed for similar flow rates at the orifices. The 4 cases of channel geometry are considered and mass flow rates of each case at the orifices are evaluated using Computational Fluid Dynamics applied VOF(Volume of Fraction) model.

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A Study of Flow Condensation Inside Mini-Channels with Circular and Rectangular Cross Section (원형 및 사각단면의 미세채널내 흐름응축 열전달 연구)

  • Shin, Jeong-Seob;Kim, Moo-Hwan
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1458-1463
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    • 2004
  • By using unique experimental techniques and careful construction of the experimental apparatus, the characteristics of the local heat transfer were investigated using the condensing R134a two-phase flow, in horizontal single mini-channels. The circular channels ($D_h=0.493$, 0.691, and 1.067 mm) and rectangular channels ($D_h=0.494$, 0.658, and 0.972 mm) were tested and compared. Tests were performed for a mass flux of 100, 200, 400, and 600 $kg/m^2s$, a heat flux of 5 to 20 $kW/m^2$, and a saturation temperature of $40^{\circ}C$. In this study, effect of heat flux, mass flux, vapor qualities, hydraulic diameter, and channel geometry on flow condensation were investigated and the experimental local condensation heat transfer coefficients are shown. The experimental data of condensation Nusselt number are compared with existing correlations.

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Experimental Study on a Rectangular Variable Intake for Space Planes

  • Kojima, T.;Taguchi, H.;Okai, K.;Futamura, H.;Maru, Y.
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2004.03a
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    • pp.649-656
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    • 2004
  • Hypersonic wind tunnel test of the rectangular variable geometry intake is performed. For realization of a Precooled turbojet engine, development of a hypersonic ramjet engine is planned. To investigate performance of the intake of the hypersonic ramjet engine, wind tunnel test is done with freestream Mach number of 5.1. The total pressure recovery was 18 % with 12.9 % of ramp bleed. Several reasons for low total pressure recovery are shown. Supersonic internal compression is not enough. Then, the throat Mach number is high (M2.61) and total pressure losses at the terminal shock is large. Supersonic flow at the throat and position of the terminal shock is sensitive to a difference of the second ramp's throat height and the third ramp's throat height. Flow separations at the second ramp's trailing edge and the third ramp's leading edge are seen those could result in the trigger of unstart. The seal mechanism between the ramps and the sidewalls is important.

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Effect of Horizontal Conducting Walls and Partitions on Two-Dimensional Laminar Natural Convective Heat Transfer in a Rectangular Enclosure (수평전도벽과 간막이가 직4각형 밀폐공간내에서의 2차원 층류 자연대류에 미치는 영향)

  • Lee Taik Sik;Lee Sang Woo
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.16 no.2
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    • pp.204-215
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    • 1987
  • Laminar natural convective heat transfer within a two-dimensional rectangular enclosure with horizontal conducting walls and partitions was investigated by numerical analysis and experiment. The enclosure consists of two isothermal vertical walls and two adiabatic horizontal walls. This combined heat transfer problem of conduction and natural convection was solved using finite difference method with SIMPLE algorithm, and temperature distribu-tions in the air filled enclosure was obtained using Mach-Zehnder interferometer. Good agree-ment was obtained between the predicted and measured results. The effect of geometric parameters and thermal properties on heat transfer was studied far Grashof numbers in range, $1\times10^4\;{\leqslant}\;G^r\;{\leqslant}\;6.4\times10^5.$ It was found that both velocity and temperature fields were in-fluenced significantly by thermal conductivity of the conducting walls and the partitions, and by geometry of partitions.

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