• 제목/요약/키워드: elliptic cylinder

검색결과 41건 처리시간 0.022초

수평 비원형이중관 사이의 환상공간에서의 자연대류 (Natural Convection in the Annulus between Horizontal Non-Circular Cylinders)

  • 배대석;권순석
    • 설비공학논문집
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    • 제1권4호
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    • pp.305-312
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    • 1989
  • Laminal natural convection heat transfer in the annulus between isothermal horizontal non-circular cylinders is studied by solving the Navier-Stokes and energy equation using an elliptic numerical procedure. Results are obtained to determine the effects of the diameter ratio($D_o/D_i$) and Rayleigh number on heat transfer. The diameter ratio is varied from 1.5 to 13.0 at Pr=0.7, H/L=1.5 and $10^3{\leqslant}Ra_L{\leqslant}4{\times}10^4$. It is found that the diameter ratio causes a more significant on the local heat transfer coefficient of lower semi-circular cylinder and plate than upper semi-circular cylinder. The mean Nusselt number increases as the diameter ratio and Rayleigh number increase, and is higher than that of the circular annulus with a same wetted perimeter.

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Thermal neutron albedo and flux for different geometries neutron guide

  • Azimkhani, S.;Rezaei Ochbelagh, D.;Zolfagharpour, F.
    • Nuclear Engineering and Technology
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    • 제51권4호
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    • pp.1075-1080
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    • 2019
  • This paper presents a study on thermal neutron reflection properties of neutron guide for cylinder, spindle, elliptic and parabolic geometries using $^{241}Am-Be$ neutron source (5.2 Ci) and $BF_3$ detector, whereas neutron guide is important instrument for transportation of neutrons. To this goal, the required inner and outer radii of neutron guide have been calculated to achieve the highest guided thermal neutron flux based on MCNPX Monte Carlo code. The maximum flux of cylinder geometry with a length 50 cm has been obtained at an inner radius 9 cm and an outer radius 21 cm. Also, the maximum value of thermal neutron albedo is $0.46{\pm}0.001$ at 12 cm thickness of parabolic guide.

선체수평진동(船體水平振動)에 있어서의 부가질량(附加質量) 3차원수정계수(次元修正係數) (Three Dimensional Correction Factors for the Added Mass in the Horizontal Vibration of Ships)

  • 김극천;유병건
    • 대한조선학회지
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    • 제11권1호
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    • pp.9-16
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    • 1974
  • To contribute towards more accurate estimation of the virtual inertia coefficient for the horizontal vibration of ships, three dimensional correction factor $J_H$ for the added mass of finitely long elliptic prismatic bars in horizontal vibration in a free surface of an ideal fluid are calculated. In the problem formulation Dr. T. Kumai's quasi-finite length concept[1,11,12] is employed. Now that, in Dr. Kumai's work[1] for the horizontal vibration the mathematical model was a circular cylinder, the principal aim of the authors' work is to investigate the influence of the beam-draft ratio B/T on $J_H$. The numerical results of this work are shown in Fig.3 graphically, from which we may recognize that the influence of B/T on $J_H$ is remarkable as much as that of the length-draft ratio L/T(refer to Fig.1 also). In Fig.3 the curves for B/T=2.00 are of those based on Dr. Kumai's result[1]. On the other hand, the experimental data obtained by Burril et al.[9] for the horizontal vibration of finitely long prismatic bars of various cross-section shapes are compared with the theoretical added mass coefficients defined by combination of the authors' $J_H$ from Fig.3 and two dimensional coefficients $C_H$ obtained by Lewis form approximation for the corresponding sections. They are in reasonable correspondence with each other as shown in Fig.2. Finally, considering that the longitudinal profile of full-form ship's hull is well resembled to that of an elliptic cylinder and that the influences of other factors such as the sectional area coefficient and the shape of section contour itself can be well merged in the two dimensional added mass coefficient, the authors recommend that the data given in Fig.3 may be successfully adopted for the three dimensional correction factor the added mass in the horizontal vibration of hull-form ships.

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타원 기둥에 의한 자력 벡터 및 자력 변화율 텐서 반응식 (Expressions of Magnetic vector and Magnetic Gradient Tensor due to an Elliptical Cylinder)

  • 임형래;엄주영
    • 지구물리와물리탐사
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    • 제26권2호
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    • pp.77-83
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    • 2023
  • 이 논문에서는 타원 기둥 형태의 이상체에 의한 자력 벡터와 자력 변화율 텐서 반응식을 유도하였다. 화성암 관입이나 킴벌라이트 구조 등은 축 대칭성을 가지면서 주향 방향과 수직한 방향의 반지름이 서로 다른 타원 기둥 형태를 가지는 경우가 많다. 이런 타원 기둥의 자력 반응은 이전 논문에서 유도한 중력 변화율 텐서에 자화 방향에 대한 정보를 포함시킨 포아송 관계식을 이용하여 유도하였다. 타원 기둥의 자력 변화율 텐서는 벡터 자력을 미분하여 유도하는데 삼중 적분으로 표현되는 타원 기둥의 인력 퍼텐셜을 각 축방향으로 3회 미분한 총 10개의 삼중 미분 함수를 구하는 것과 동일하다. 미분과 적분의 순서는 바꾸는 것이 가능하므로 결과적으로 자력 변화율 텐서는 타원 기둥의 인력 퍼텐셜을 3회 미분한 후, 깊이 방향으로 적분하고 나머지 이중 적분은 복소 평면에서 타원 기둥의 단면을 폐곡선으로 하는 경로를 따라 선적분으로 변환하여 유도된다. 이 논문에서 복소 평면에서 선적분으로 유도한 자력 및 자력 변화율 텐서 반응식은 립쉬츠-한켈 적분으로 유도한 원기둥의 자력 및 자력 변화율 텐서 반응식과 완벽하게 일치함을 보였다.

비압축성 점성 유동의 수치적 해석을 위한 사각형-삼각형 혼합 격자계 (Quadrilateral-Triangular Mixed Grid System for Numerical Analysis of Incompressible Viscous Flow)

  • 심은보;박종천;류하상
    • 한국CDE학회논문집
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    • 제1권1호
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    • pp.56-64
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    • 1996
  • A quadrilateral-triangular mixed grid method for the solution of incompressible viscous flow is presented. The solution domain near the body surface is meshed using elliptic grid geneator to acculately simulate the viscous flow. On the other hand, we used unstructured triangular grid system generated by advancing front technique of a simple automatic grid generation algorithm in the rest of the computational domain. The present method thus is capable of not only handling complex geometries but providing accurate solutions near body surface. The numerical technique adopted here is PISO type finite element method which was developed by the present author. Investigations have been made of two-dimensional unsteady flow of Re=550 past a circular cylinder. In the case of use of the unstructured grid only, there exists a considerable amount of difference with the existing results in drag coefficient and vorticity at the cylinder surface; this may be because of the lack of the grid clustering to the surface that is a inevitable requirement to resolve the viscous flow. However, numerical results on the mixed grid show good agreements with the earlier computations and experimental data.

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스커트 3D 모델의 자동 생성과 3D 드래핑 (Automatic Generation and 3D Draping Of the Skirt 3D Models)

  • 최우혁;신승철;최창석;김효숙;강인애
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2001년도 하계종합학술대회 논문집(4)
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    • pp.61-64
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    • 2001
  • This paper proposes an automatic method for generating and 3D draping the skirt 3D models. The method constructs a 3D basic model of the skirts using elliptic cylinder and generates the various skirt 3D models by controlling the ellipses of the basic model. B-Spline approximates the wrinkles around the ellipse for the various 3D draping changing according to designs and textiles. We make some real skirts and investigate appearances for their drapes. This paper simulates their appearances and obtains good results. Furthermore, adaptation of the skirt 3D model to a personal character implements realistic coordination of the various skirts.

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타원형 커루게이트 도파관의 전파 및 복사 특성 (Propagation and Radiation Characteristics of Elliptical Corrugated Waveguide)

  • 고욱희;백경훈
    • 한국전자파학회논문지
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    • 제9권5호
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    • pp.614-620
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    • 1998
  • 본 논문에서는 타원형 커루게이트 도파관의 전파 및 복사특성을 이론적으로 해석한다. 타원형 원통 좌표계에서의 파동방정식의 해는 제1종 및 제2종의 Mathieu함수들로 얻어진다. 타원형 커루게이트 도파관의 전계와 자계들은 반경방향과 각 방향의 Mathieu함수들의 곱의 급수로 나타낼 수 있다. 슬랏 영역과 안쪽 영역의 경계면에서 임피던스 매칭 방법을 사용하여 특성 방정식을 얻는다. 타원형 커루게이트도파관에서의 주모드인 $HE_{11}$모드에 대한 특성방정식을 풀어 어퍼춰에서의 전자계를 계산하고, 또 계의 등가원리(field equivalence principle)를 이용하여 타원형 커루게이트 도파관에서의 복사패턴을 계산한다.

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선체(船體) 상하진동(上下振動)에 대(對)한 부가질량(附加質量)의 3차원(次元) 수정계수(修正係數)에 관(關)하여 (On the Three-dimensional Correction Factor for the Added Mass in the Vertical Vibration of the Ship.)

  • 김창열
    • 대한조선학회지
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    • 제11권2호
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    • pp.1-6
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    • 1974
  • The three-dimensional correction factor of the added mass of finite-length elliptic cylinders in vertical vibration in a free surface was calculated. This problem has already been dealt by T. Kumai[5] to contribute to analytical prediction of the three-dimensional correction factor for the added mass in vertical vibration of ships. In Kumai's work, the body boundary condition involved in the appropriate boundary value problem was approximately treated in the course of obtaining the solution. In this work, obtaining the solution derived from mathematically exact treatment of the body boundary condition, the author recalculated the three-dimensional correction factor for length-beam ratio $4{\sim}8$, beam-draught ratio $2.00{\sim}4.50$ and number of nodes from 2 to 7. And the numerical results were compared with both Kumai's results and the author's experimental data for two and three-noded vibrations of the cylinder of beam-draught ratio 2.40 The comparison of the numerical results shows that the author's are always higher than the Kumai's as expected. And the comparison of the numerical results with experimental data shows that the Kumai's numerical results have less deviation in case of two-noded vibration, and that, in case of three-noded vibration, the author's numerical results are in fairly good correspondence.

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DRASTIC IMPROVEMENT OF THERMAL EFFICIENCY BY RAPID PISTON-MOVEMENT NEAR TDC

  • Moriyoshi, Y.;Sano, M.;Morikawa, K.;Kaneko, M.
    • International Journal of Automotive Technology
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    • 제7권3호
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    • pp.295-301
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    • 2006
  • A new combustion method of high compression ratio SI engine was studied and proposed in order to achieve high thermal efficiency, comparable to that of CI engine. Compression ratio of SI engine is generally restricted by the knocking phenomena. A combustion chamber profile and a cranking mechanism were studied to avoid knocking with high compression ratio. Because reducing the end-gas temperature will suppress knocking, a combustion chamber was considered to have a wide surface at the end-gas region. However, wide surface will lead to large heat loss, which may cancel the gain of higher compression ratio operation. Thereby, a special cranking mechanism was adapted which allowed the piston to move rapidly near TDC. Numerical simulations were performed to optimize the cranking mechanism for achieving high thermal efficiency. An elliptic gear system and a leaf-shape gear system were employed in numerical simulations. Livengood-Wu integral, which is widely used to judge knocking occurrence, was calculated to verify the effect for the new concept. As a result, this concept can be operated at compression ratio of fourteen using a regular gasoline. A new single cylinder engine with compression ratio of twelve and TGV(Tumble Generation Valve) to enhance the turbulence and combustion speed was designed and built for proving its performance. The test results verified the predictions. Thermal efficiency was improve over 10% with compression ratio of twelve compared to an original engine with compression ratio of ten when strong turbulence was generated using TGV, leading to a fast combustion speed and reduced heat loss.

변분법 원리를 이용한 3차원 바람장 모델 개발 (Development of a Three-Dimensional Wind Field Model using the Principle of Variational Method)

  • 서경석;김은한;황원태;한문희
    • Journal of Radiation Protection and Research
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    • 제28권2호
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    • pp.97-108
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    • 2003
  • 복잡한 지형상에서 바람장 분포를 산정하기 위해 변분기법에 근거한 3차원 바람장 모델을 개발하였다. Lagrangian multiplier와 조정된 바람장 분포를 얻기 위하여 직각 및 지형을 따르는 좌표계상에서 3차원 타원형 편미분 방정식이 수립되었다. 반구, 반 실린더 및 안장 형태의 지형상에서 바람장의 변화를 추정하기 위해 계산이 수행되었고, 또한 지형을 따르는 좌표계상에서 바람장 모델이 Gauss precision moduli의 변화에 따른 바람장 특성을 평가하기 위하여 적용되었다. 산정결과 수평 및 수직 바람 성분은 Gauss precision moduli값의 선정에 강하게 영향을 받고 있음이 확인되었다.