• Title/Summary/Keyword: curvature distribution

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Analytical Calculation for the Breakdown Voltage of the Punchthrough Diode with Cylindrical Junction Edge (원통형 접합경계를 갖는 punchthrough 다이오드의 항복전압에 대한 해석적 계산)

  • Kim, Doo-Young;Kim, Han-Soo;Choi, Yearn-Ik;Han, Min-Koo
    • Proceedings of the KIEE Conference
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    • 1994.07b
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    • pp.1448-1450
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    • 1994
  • The breakdown voltages of punchthrough-mode diodes with cylindrical junction are analytically calculated, The proposed method, which is based on th Gauss's law, estimates the lateral expansion of the depletion region as well as the electric field and the charge distribution. The proposed method is given in terms of epitaxial layer width, the epitaxial layer doping concentration, and curvature radius of the junction edge. The calculation results agree well with the MEDICI simulation results for various device parameters.

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RICCI 𝜌-SOLITONS ON 3-DIMENSIONAL 𝜂-EINSTEIN ALMOST KENMOTSU MANIFOLDS

  • Azami, Shahroud;Fasihi-Ramandi, Ghodratallah
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.613-623
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    • 2020
  • The notion of quasi-Einstein metric in theoretical physics and in relation with string theory is equivalent to the notion of Ricci soliton in differential geometry. Quasi-Einstein metrics or Ricci solitons serve also as solution to Ricci flow equation, which is an evolution equation for Riemannian metrics on a Riemannian manifold. Quasi-Einstein metrics are subject of great interest in both mathematics and theoretical physics. In this paper the notion of Ricci 𝜌-soliton as a generalization of Ricci soliton is defined. We are motivated by the Ricci-Bourguignon flow to define this concept. We show that if a 3-dimensional almost Kenmotsu Einstein manifold M is a 𝜌-soliton, then M is a Kenmotsu manifold of constant sectional curvature -1 and the 𝜌-soliton is expanding with λ = 2.

Development of the Computer Program for Predicting the Aero-acoustic Performance in the Design Process of Axial Flow Fan (축류형 송풍기 설계 과정에서 공력-음향학적 성능 예측을 위한 전산 프로그램의 개발)

  • Chung, Dong-Kyu;Hong, Soon-Seong;Lee, Chan
    • 유체기계공업학회:학술대회논문집
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    • 2000.12a
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    • pp.91-98
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    • 2000
  • Developed is a computer program for the prediction of the aero-acoustic performance characteristics such as discharge pressure, efficiency, power and noise level in the basic design step of axial flow fan. The flow field and the aerodynamic performance of fan are analyzed by using the streamline curvature computing scheme with total pressure loss and flow deviation models. Fan noise is assumed to be generated due to the pressure fluctuations induced by wake vortices of fan blades and to radiate via dipole distribution. The vortex-induced fluctuating pressure on blade surface is calculated by combining thin airfoil theory and the predicted flow field data. The predicted aerodynamic performances, sound pressure level and noise directivity patterns of fan by the present computer program are favorably compared with the test data of actual fan. Furthermore, the present computer program is shown to be very useful in optimizing design variables of fan with high efficiency and low noise level and in analyzing their design sensitivities.

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Effects of Rotation on the Czochralski Silicon Single Crystal Growth (초크랄스키법에 의한 실리콘 단결정성장에서 회전효과가 미치는 영향에 대한 연구)

  • 김무근
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.5
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    • pp.1308-1318
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    • 1995
  • The influence of varying rotation speed of both crystal and crucible was numerically investigated for the Czochralski silicon-crystal growth. Based on a simplified model assuming flatness of free surfrae, the Navier-Stokes Boussinesq equations were employed to identify the flow pattern, temperature distribution as well as the shape of the melt/crystal interface. The present results showed that the interface shape was relatively convex with respect to the melt at lower pulling rate and tended to be concave as the pulling rate increased. In particular, the experimentally observed gull-winged shape of the interface was qualitatively in agreement with the predicted shape. The rotation of crystal alone little affected the growth system. When the rotation speed of the crucible was increased, there occurred inversion of the interface shape from convex to concave pattern. At rapid rotation of the crucible, an interesting channel formation was predictied primarily due to the assumption of laminar flow.

Aerodynamic Analysis and Design of Inline-Duct Fan (관류익형송풍기의 공력해석 및 설계)

  • Guo En-Min;Kim Kwang-Yong;Seo Seoung-Jin
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.639-642
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    • 2002
  • A tubular centrifugal fin is designed by using various methods of analysis and design. A preliminary design method based on empirical optimum curves for centrifugal fin is used to determine the geometric parameters for tubular centrifugal fan. And, Quasi-3D streamline curvature duct-flow analysis is used to provide the primary position of streamlines and spanwise distribution of flow angle f3r generation of blade geometry based on S1 surface. Three-dimensional CFD solution then is obtained to optimize the blade design. Constriction of flow path in the region of impeller, backward swept blade, and central cone, which are introduced to improve the design, successfully remove or suppress the vortices downstream of the impeller.

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Rigid Plasticity Finite Element Analysis of the Bending of Extrusion Product Using the Square dies (2차원평원 압출가공의 굽힘에 관한 강소성 유한요소 해석)

  • 박대윤
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.80-83
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    • 1999
  • Rigid Plasticity Finite Element Analysis is developed for the shapes of dead metal zone and the curving velocity distribution in the eccentric square dies extrusion. The shape of dead metal zone is defined as the boundary surface with the maximum friction constant between the deformable zone and the rigid zone. The curving phenomenon in the eccentric square dies is caused by the eccentricity of square dies. The deviated velocity is changed with the distance form the center of cross-section of the workpiece. The results show that the curving of products and the shapes of the dead metal zone are determined by Rigid Plasticity Finite Element Analysis and that the curvature of the extruded products increases with the eccentricity.

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Characterization of Radial Stress in Curved Beams

  • Oh, Sei Chang
    • Journal of the Korean Wood Science and Technology
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    • v.37 no.2
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    • pp.128-136
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    • 2009
  • Curved glued laminated timber (glulam) is rapidly coming into the domestic modern timber frame buildings and predominant in building construction. The radial stress is frequently occurred in curved beams and is a critical design parameter in curved glulam. Three models, Wilson equation, Exact solution and Approximation equation were introduced to determine the radial stress of curved glulam under pure bending condition. It is obvious that radial stress distribution between small radius and large radius was different due to slight change of neutral plane location to center line. If the beam design with extremely small radius, it should be considered to determine the exact location of maximum radial stress. The current standard KSF 3021 was reviewed and would be considered some adjustment determining the optimum radius in curved glulam. Current design principle is that the stress factor is given by the curvature term only in constant depth of the beam, but like tapered or small radius of beams, the stress factor by Wilson equation was underestimated. So current design formula should be considered to improvement for characterizing the radial stress factor under pure bending condition.

An Analysis on Three-dimensional Viscous Flow Fields in the Volute Casing of a Small-size Turbo-compressor (소형터보압축기 볼류트 내부의 3차원 점성 유동장 해석)

  • Kim, D.W.;Kim, Youn-J.
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.777-782
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    • 2000
  • The flow fields in the volute casing of a small-size turbo-compressor at different flowrate (design point ${\pm}20%$) are studied by numerical analysis. The governing equations for three-dimensional steady viscous flow are solved using SIMPLE algorithm with commercial code of STAR-CD. Numerical results show that the three-dimensional flow pattern inside the volute casing of a small-size turbo-compressor is strongly influenced by secondary flows that are typically created by the curvature or the casing passages. The flow pattern in the casing also affects the performance of the turbo-compressor. In order to elucidate the loss mechanism through the volute, we prepared the secondary flow, velocity magnitude, and static pressure distribution at the four cross-sectional planes of the casing.

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Analysis on Performance of Axial Flow Fan for Outdoor Unit of Air-conditioner: Flow Characteristics (에어컨 실외기용 축류홴의 성능에 관한 연구: 유동 특성)

  • Kim, Yong-Hwan;Jeong, Jin-Hwan;Lee, Jang-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.13 no.6
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    • pp.30-35
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    • 2010
  • The aerodynamic performance of axial flow fans for outdoor unit of air-conditioner is investigated by numerical and experimental approaches in this study. The pressure drop and volumetric flow rate are compared each other in several different conditions and fan speeds. It is shown that the predicted fan performances are quite well matched with the experimental results. It is also shown that the curvature of the fan arc and hub height have significant influences on the flow distribution after hub. By the results of this study, it can be suggested that several ways to improve the aerodynamic performance of the axial flow fan can be found using the numerical analysis.

A new Model to Optimize the Process Conditions in Tension Leveling - Part II : Prediction of the Residual Stress Distribution (텐션 레벨링 공정 최적화를 위한 수식 모델 - Part II : 잔류응력 분포 예측)

  • Cho, Y.S.;Hwang, S.M.
    • Transactions of Materials Processing
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    • v.22 no.7
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    • pp.377-382
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    • 2013
  • Tension leveling is the process that removes the shape defects such as edge waves and center buckles, which may be formed in the rolled strip. The main purpose of tension leveling is to eliminate the differences in elongation in order to reduce the residual stresses. In this paper, a new approach for the optimization of the process conditions in tension leveling is presented. This new approach is an analytic model that predicts the residual stresses from the strip curvature. The prediction accuracy of the proposed model is examined through comparison with the predictions from a finite element model.