• 제목/요약/키워드: Parabolic Edge

검색결과 31건 처리시간 0.027초

내부자유도를 갖는 차분래티스볼츠만 모델에 의한 에지톤의 수치계산 (Numerical Simulation of Edge Tone by Finite Difference Lattice Boltzmann Model with Internal Degree of Freedom)

  • 강호근;김은라;오세경
    • Journal of Advanced Marine Engineering and Technology
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    • 제29권8호
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    • pp.929-937
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    • 2005
  • A lattice BGK model based on a finite difference scheme with an internal degree of freedom is employed and it is shown that a diatomic 9as such as air is successfully simulated In a weak compressive wane problem and Coutte flow, the validity and characteristics of the applied model are examined. With the model. furthermore. we present a 2-dimensional edge tones to predict the frequency characteristics of discrete oscillations of a jet-edge feedback cycle by the FDLB model (I.D.F FDLBM) in which any specific heat ratio $\gamma$ can be chosen freely. The jet is chosen long enough in order to guaranteed the Parabolic velocity profile of a jet at the outlet. and the edges have of an angle of $\alpha$=$23^{0}$ and $20^{0}$. A sinuous instability wane with real frequency resulting from Periodic oscillation of the jet around the edge is propagated on the upper and lower of wedge.

Numerical Simulation of Edgetone Phenomenon in Flow of a Jet-edge System Using Lattice Boltzmann Model

  • Kang, Ho-Keun
    • Journal of Ship and Ocean Technology
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    • 제12권1호
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    • pp.1-15
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    • 2008
  • An edgetone is the discrete tone or narrow-band sound produced by an oscillating free shear layer, impinging on a rigid surface. In this paper, 2-dimensional edgetone to predict the frequency characteristics of the discrete oscillations of a jet-edge feedback cycle is presented using lattice Boltmznan model with 21 bits, which is introduced a flexible specific heat ratio y to simulate diatomic gases like air. The blown jet is given a parabolic inflow profile for the velocity, and the edges consist of wedges with angle 20 degree (for symmetric wedge) and 23 degree (for inclined wedge), respectively. At a stand-off distance w, the edge is inserted along the centerline of the jet, and a sinuous instability wave with real frequency is assumed to be created in the vicinity of the nozzle exit and to propagate towards the downward. Present results presented have shown in capturing small pressure fluctuating resulting from periodic oscillation of the jet around the edge. The pressure fluctuations propagate with the speed of sound. Their interaction with the wedge produces an irrotational feedback field which, near the nozzle exit, is a periodic transverse flow producing the singularities at the nozzle lips. It is found that, as the numerical example, satisfactory simulation results on the edgetone can be obtained for the complex flow-edge interaction mechanism, demonstrating the capability of the lattice Boltzmann model with flexible specific heat ratio to predict flow-induced noises in the ventilating systems of ship.

전반사를 이용한 자연채광 블라인드 디자인 (A Blind Design of Sunlighting Using Total Reflection)

  • 심충건
    • 한국산학기술학회논문지
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    • 제13권1호
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    • pp.39-44
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    • 2012
  • 본 논문은 자연채광용 새로운 블라인드 디자인을 제시하고 있다. 소재는 투명하지만, 블라인드 단면이 한 변이 직각형인 사다리꼴 형태이다. 블라인드의 소재는 PMMA 이다. 한 변이 직각형인 사다리꼴 형태에서, 블라인드의 정면은 지면에 수직으로 형성되나, 그 후면은 전면 쪽으로 약간 기울어져 있다. 전면에서 입사된 빛은 경사진 후면에 의하여 전반사되어 진다. 만약, 단면에서 후면의 경사각이 $15^{\circ}$이면, 태양고도가 $45^{\circ}$ 보다 낮을 때 태양 빛이 블라인드를 투과하게 되나, 그 보다 높을 때에는 창밖으로 반사시키게 된다. 본 논문에서 제시하는 블라인드는 기존의 블라인드 장치에 블라인드만 교체하여 적용이 가능하며, 비록 투명하지만 한 낯의 태양빛을 모두 전반사시켜 되돌려 보낸다. 재료가 투명하기 때문에 창밖의 외부를 볼 수 있다. 본 제시된 디자인에서 후면의 다양한 경사각에 대하여 태양의 고도에 따른 전반사 효과를 시뮬레이션하였다. 본 논문에서 제시하는 블라인드 디자인에 의하여 전반사 일어나고 있음을 확인하였으며, 한 낯의 태양빛을 차단하는 효과적인 수단임을 알 수 있었다.

공구날 특이길이의 물리적 적합성 고찰 (Physically Compatible Characteristic Length of Cutting Edge Geometry)

  • 안일혁;김익현;황지홍
    • 한국정밀공학회지
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    • 제29권3호
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    • pp.279-288
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    • 2012
  • The material removal mechanism in machining is significantly affected by the cutting edge geometry. Its effect becomes even more substantial when the depth of cut is relatively small as compared to the characteristic length which represents the shape and size of the cutting edge. Conventionally, radius or focal length has been employed as the characteristic length with the assumption that the shape of cutting edge is round or parabolic. However, in reality, there could be various ways to determine the radius or focal length even for the same tool edge profile, depending on the region to be considered as cutting edge in the measured profile and the constraints to be set in constructing the best fitted circle or parabola. In this regard, the present study proposes various models to determine the characteristic length in terms of radius or focal length. Their physical compatibility are validated by carrying out 2D orthogonal cutting experiments using inserts with a wide range of characteristic length ($30{\sim}180\;{\mu}m$ in terms of radius) and then by investigating the correlation between the characteristic length and the cutting forces. Such validation is based on the common belief that the larger the characteristic length is, the blunter the cutting edge is and the higher the cutting forces are. Interestingly, the results showed that the correlation is higher for the radius or focal length obtained with a constraint that the center of best fitted circle or the focus of the best fitted parabola should be on the bisectional line of the wedge angle of tool.

레이저 미세피치 홀 가공의 생산효율성 향상을 위한 영상처리 측정 기법 적용 (Application of Image Processing Technique to Improve Production Efficiency of Fine Pitch Hole Based on Laser)

  • 표창률
    • 소성∙가공
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    • 제19권5호
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    • pp.320-324
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    • 2010
  • Multi-Layer Ceramic Circuit(MLCC) in the face of thousands of fine pitch multi hole is processed. However, the fine pitch multi hole has a size of only a few micrometers. Therefore, in order to curtail the measurement time and reduce error, the image processing measurement method is required. So, we proposed an image processing measurement algorithm which is required to accurately measure the fine pitch multi hole. The proposed algorithm gets image of the fine pitch multi hole, extracts object from the image by morphological process, and extracts the parameters of its position and feature by edge detecting process. In addition, we have used the sub-pixel algorithm to improve accuracy. As a result, the proposed algorithm shows 97% test-retest measurement reliability within 2 ${\mu}m$. We found that the algorithm was wellsuited for measuring the fine pitch multi hole.

수산 지역의 규회석과 그 용해 거동 (Wollastonite from and Its Dissolution Behaviors)

  • 김수진;현성필;이성근
    • 한국광물학회지
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    • 제9권1호
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    • pp.1-6
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    • 1996
  • Woolastonite from Susan occurs as intercalations in limestone beds of Lower Paleozoic Joseon Supergroup. It is a thermal metamorphic product of impure limestone. Electron microprobe analysis shows that it is considerably pure wollastonite. It has triclinic cell with a=7.932$\AA$, b=7.328$\AA$, c=7.069$\AA$, $\alpha$=89.995$^{\circ}$, $\beta$=$95.255^{\circ}$, and $ \Upsilon=103.367^{\circ}$.Dissolution behaviors of wollastonite have been studied conducting three different dissolution experiments; two different reactions with HC1 (one batch and one re-initialization experiment) and one traction with distilled water. In the batch type powder wollastonite-HCl reaction, pH of solution rapidly increases in the early stage and then its rate of increase slows down to reach plateau resulting in parabolic relationship with time. It is represented by the early rapid rise and fall in pH giving a sharp pH-edge and succeeding slow rise in the re-initialization experiment. The early rapid rise in pH is due to the rapid sorption of H- in solution to oxygens on the reactive surface of wollastonite and the fall in pH means that all reactive surface sites are occupied by H- ions and no more H- adsorption occurs. The slow rise in pH following the pH- edge is due to the dissolution of wollastonite as evidenced by the correlation of pH variation and cation concentration. Dissolution of powder wollastonite in HCl shows linear trend with time. Si is dissolved predominantly over Ca at a constant rate. Ca is dissolved predominantly in the very early stage. Dissolution rate of coarse-grained wollastonite fragments in distilled water is parabolic with times howing a rapid reaction in the early stage and a slow reaction in the advanced stage. The Ca/Si ratio in solution is high in the case of coarse-grained wollastonite fragment as compared with powder wollastonite. The coarse-grained wollastonite fragment-water (acid) reaction resulted in the solution with an elevated constant pH value (alkaline) giving an important significance on the environmental view point.

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A simple analytical model for free vibration and buckling analysis of orthotropic rectangular plates

  • Sellam, Souad;Draiche, Kada;Tlidji, Youcef;Addou, Farouk Yahia;Benachour, Abdelkader
    • Structural Engineering and Mechanics
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    • 제75권2호
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    • pp.157-174
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    • 2020
  • In the present paper, a simple analytical model is developed based on a new refined parabolic shear deformation theory (RPSDT) for free vibration and buckling analysis of orthotropic rectangular plates with simply supported boundary conditions. The displacement field is simpler than those of other higher-order theories since it is modeled with only two unknowns and accounts for a parabolic distribution of the transverse shear stress through the plate thickness. The governing differential equations related to the present theory are obtained from the principle of virtual work, while the solution of the eigenvalue problem is achieved by assuming a Navier technique in the form of a double trigonometric series that satisfy the edge boundary conditions of the plate. Numerical results are presented and compared with previously published results for orthotropic rectangular plates in order to verify the precision of the proposed analytical model and to assess the impacts of several parameters such as the modulus ratio, the side-to-thickness ratio and the geometric ratio on natural frequencies and critical buckling loads. From these results, it can be concluded that the present computations are in excellent agreement with the other higher-order theories.

On Implementation of the Finite Difference Lattice Boltzmann Method with Internal Degree of Freedom to Edgetone

  • Kang, Ho-Keun;Kim, Eun-Ra
    • Journal of Mechanical Science and Technology
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    • 제19권11호
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    • pp.2032-2039
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    • 2005
  • The lattice Boltzman method (LBM) and the finite difference-based lattice Boltzmann method (FDLBM) are quite recent approaches for simulating fluid flow, which have been proven as valid and efficient tools in a variety of complex flow problems. They are considered attractive alternatives to conventional finite-difference schemes because they recover the Navier-Stokes equations and are computationally more stable, and easily parallelizable. However, most models of the LBM or FDLBM are for incompressible fluids because of the simplicity of the structure of the model. Although some models for compressible thermal fluids have been introduced, these models are for monatomic gases, and suffer from the instability in calculations. A lattice BGK model based on a finite difference scheme with an internal degree of freedom is employed and it is shown that a diatomic gas such as air is successfully simulated. In this research we present a 2-dimensional edge tone to predict the frequency characteristics of discrete oscillations of a jet-edge feedback cycle by the FDLBM in which any specific heat ratio $\gamma$ can be chosen freely. The jet is chosen long enough in order to guarantee the parabolic velocity profile of a jet at the outlet, and the edge is of an angle of $\alpha$=23$^{o}$. At a stand-off distance w, the edge is inserted along the centerline of the jet, and a sinuous instability wave with real frequency is assumed to be created in the vicinity of the nozzle exit and to propagate towards the downstream. We have succeeded in capturing very small pressure fluctuations resulting from periodic oscillation of the jet around the edge.

칼날 주사방식을 이용한 중적외선 렌즈의 변조전달함수 측정 장치 (Modulation Transfer Function System for a Mid-infrared Lens by Knife-edge Scanning Technique)

  • 송세용;조재흥;홍성목;이회윤;이윤우
    • 한국광학회지
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    • 제22권1호
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    • pp.16-22
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    • 2011
  • 중적외선 결상용 실리콘 렌즈의 변조전달함수(MTF)를 칼날 주사방식으로 측정하는 적외선 MTF 측정장치를 구성하였다. 이를 위하여 반달형 칼날 물체를 사용하여 초점거리 50 mm, F/4인 실리콘 렌즈에 대한 중적외선 파장대인 $3{\sim}5\;{\mu}m$에서의 축상 자오 방향에 대한 MTF를 측정하였다. 이 때 무한 물체를 만들기 위해서 초점거리가 2.545 m인 비축 포물 반사경을 사용하였다. 측정한 MTF는 렌즈의 설계 자료로부터 구한 MTF와 비교한 결과, 7 lp/mm 이하에서 2 % 이내의 MTF 허용오차를 만족하고 있음을 알 수 있었다.

자유표면하에서 전진하는 3차원 물체 주위의 양력 흐름 수치 해석 (Numerical Analysis of Lifting Potential Flow around a Three-Dimensional Body moving beneath the Free Surface)

  • 김부기
    • 대한조선학회논문집
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    • 제29권3호
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    • pp.21-32
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    • 1992
  • 자유 수면하를 영각을 가지고 일정 속도로 전진하는 3차원 물체가 만드는 자유 표면 흐름에 대한 수치해를 보인다. 해를 구하기 위해 물체 표면에 Havelock 쏘오스와 법선 다이폴을, Wake 면에는 Havelock 법선 다이폴을 분포시키는 교란 속도 포텐시얼을 기저로 한 패널법을 이용하였다. Trailing Edge의 윗면과 아랫면의 압력 등가 조건을 정확히 만족시키기 위해 반복 기법을 이용한 압력 Kutta 조건을 사용하였다. 무한 유체 영역에 놓인 Ellipsoid와 사각 Wing에 대해 계산 프로그램을 검증한 후 자유 수면하에 잠수하여 전진하는 Spheroid와 스트럿에 대한 문제를 다루었다. 본 연구에서 채택한 Panel Method는 자유 표면 효과, 3차원 물체의 형상을 고려하여 물체에 작용하는 동유체력을 비교적 정확하게 예측하였으며 특히 Wake 형상은 동유체력 계산에 큰 영향을 미치지 않는 것으로 확인하였다.

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