• 제목/요약/키워드: Integral boundary layer equation

검색결과 44건 처리시간 0.024초

De-Laval 노즐의 난류 경계층 유동이 연소실 압력에 미치는 영향 (A Turbulent Bounbary Layer Effect of the De-Laval Nozzle on the Combustion Chamber Pressure)

  • 장태호;이방업;배주찬
    • 대한기계학회논문집
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    • 제10권5호
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    • pp.635-644
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    • 1986
  • A Compuressible turbulent boundary layer effect of the high temperature, accelerating gas flow through the De-Laval nozzle on combustion chamber pressure is numerically investigated. For this purpose, the coupled momentum integral equation and energy integral equation are solved by the Bartz method, and 1/7 power law for both the turbulent boundary layer velocity distribution and temperature distribution is assumed. As far as the boundary layer thicknesses are concerned, we can obtain reasonable solutions even if relatively simple approximations to the skin friction coefficient and stanton number have been used. The effects of nozzle wall cooling and/or mass flow rate on the boundary layer thicknesses and the combustion chamber pressure are studied. Specifically, negative displacement thickness is appeared as the ratio of the nozzle wall temperature to the stagnation temperature of the free stream decreases, and, consequently, it makes the combustion chamber pressure low.

착상 거동 해석을 위한 수치적 모텔 (Numerical Model for the Analysis of Frosting Behavior)

  • 이관수;양동근;지성
    • 설비공학논문집
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    • 제14권3호
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    • pp.261-267
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    • 2002
  • The integral boundary layer equation for the air side and the diffusion equation for the frost layer are numerically analyzed in order to predict the behavior of frost layer growth. The thickness and density of the frost layer obtained from the present study agree well with those of previous numerical results and experimental data with a maximum error of 13%. The characteristics of heat and mass transfer within the frost layer and the frost layer growth along the flow direction are investigated by performing numerical analysis. The effects of operating conditions on the frost layer growth are also examined.

몰수분의 두꺼운 경계층 및 반류해석 (On the Thick Axisymmetric Boundary Layer and Wake Around the Body of Revolution)

  • 강신형;현범수;이영길
    • 한국기계연구소 소보
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    • 통권9호
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    • pp.141-151
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    • 1982
  • An iterative procedure for the calculation of the thick axisymmetric boundary layer and wake near the stern of a body of revolution is presented. Procedure consists of the potential flow calculation by a method of the integral equation of first kind and the calculation of boundary layer and wake by a differential me¬thod of the boundary layer theory. Additionally, higher order terms are included in the conventional momentum equations and continuity equation for the consider¬ation of the characteristics of axisymmetric flow different from the one of two dimentional flow and the thick boundary layer. These solutions are matched at the edge of boundary layer and wake. The results obtained by the present me¬thod are compared with the experimental data and it is found that the nominal wake distribution at the propeller plane of a axisymmetric body is in good agree¬ment with the experiment.

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유한영역에서의 꺾인균열 해석을 위한 적분방정식 적용 연구 (An Integral Equation for Kinked Cracks in Finite Plane Bodies)

  • 서욱환
    • 대한기계학회논문집
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    • 제17권9호
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    • pp.2138-2144
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    • 1993
  • An integral equation representation of cracks was presented which differs from well-known "dislocation layer" representation. In this new representation, the equations are written in terms of the displacement discontinuity across the crack surfaces rather than derivatives of the displacement-discontinuity. It was shown in that the new technique is well-suited to the treatment of kinked cracks. In the present paper, this integral equation representation is coupled to the direct boundary-element method for the treatment of finite bodies containing kinked cracks. The method is demonstrated for two-dimensional finite domains but extension to three-dimensional problems would appear to be possible. The resulting approach is shown to be simple, yet very accurate. accurate.

유한영역에서의 모드 III 꺾인균열 해석을 위한 적분방정식 적용연구 (AN INTEGRAL EQUATION FOR KINKED CRACKS APPLIED TO MODE III IN FINITE PLANE BODIES)

  • Sur, Ukhwan
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제2권1호
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    • pp.111-129
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    • 1998
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane(modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.

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유한영역에서 안전을 위한 여러 형태의 균열 해석용 적분방정식 적용연구 (An Integral Equation of Various Cracks for Safety in Finite Plane Bodies)

  • 서욱환
    • 한국안전학회지
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    • 제14권1호
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    • pp.10-18
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    • 1999
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, the integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in finite plane bodies. The method was developed for in-plane(mode I and II) loadings only. In this paper, the method is formulated and applied to various crack problems involving multiple and branch cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.implicity.

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변위 불연속 방법에 의한 모드 III 꺾인 균열 해석 연구 (A Study on Mode III Kinked Crack Analysis Using Displacement-Discontinuity Method)

  • 서욱환
    • Journal of Welding and Joining
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    • 제18권4호
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    • pp.104-110
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    • 2000
  • An integral equation representation of cracks was presented, which differs from well-known "dislocation layer" representation. In this new representation, an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane (modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite region. The results are compared to exact solutions where available and the method is shown to be very accurate despite of its simplicity.implicity.

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전단하중을 받는 복합 적층재 중앙균열의 응력확대계수 (Stress Intensity Factors for a Center Cracked laminated Composites under Shear Loading)

  • 오재협;김성호;옹장우
    • 대한기계학회논문집
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    • 제16권5호
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    • pp.838-848
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    • 1992
  • 본 연구에서는 김성호등의 형상모델인 Fig.1(b)에서 전단하중이 작용하는 경 우에 대한, 복합재료의 탄성층 내부(레진층)에 존재하는 중앙균열의 응력확대계수 산 출을 위하여 균열부위를 제외하고는 섬유층과 레진층이 완전히 접착되었다고 가정한 모델을 다음과 같이 설정 하였다. 접착레진을 주로하는 탄성층(resin rich layer)을 중심으로 상하 각1개의 섬유층(fiber rich layer)과 균질한 특성을 갖는 복합재료의 층으로 단순화하였으며, 복합재료는 레진층이나 섬유층에 비하여 무한히 두꺼우므로 반무한체로 이상화 하였다. 선형탄 이론에 의한 혼합경계조건문제(mixed boundary value problem)로 부터 제2종 Fredholm 적분방정식(fredholm integral equation of a second kind)을 유도하였으며 수치해석적인 방법에 의하여 응력확대계수를 구하였다. 또한, 복합재료의 재료물성 및 균열길이, 섬유두께등이 기하학적 변수에 대하여 응력 확대계수를 산출하였다.

Position Control for Interior Permanent Magnet Synchronous Motors using an Adaptive Integral Binary Observer

  • Kang, Hyoung-Seok;Kim, Cheon-Kyu;Kim, Young-Seok
    • Journal of Electrical Engineering and Technology
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    • 제4권2호
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    • pp.240-248
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    • 2009
  • An approach to control the position for an interior permanent magnet synchronous motor (IPMSM) based on an adaptive integral binary observer is described. The binary controller with a binary observer is composed of a main loop regulator and an auxiliary loop regulator. One of its key features is that it alleviates chatter in the constant boundary layer. However, steady state estimation accuracy and robustness are dependent upon the thickness of the constant boundary layer. In order to improve the steady state performance of the binary observer and eliminate the chattering problem of the constant boundary layer, a new binary observer is formed by adding extra integral dynamics to the existing switching hyperplane equation. Also, the proposed adaptive integral binary observer applies an adaptive scheme because the parameters of the dynamic equations such as the machine inertia and the viscosity friction coefficient are not well known. Furthermore, these values can typically be easily changed during normal operation. However, the proposed observer can overcome the problems caused by using the dynamic equations, and the rotor position estimation is constructed by integrating the rotor speed estimated with a Lyapunov function. Experimental results obtained using the proposed algorithm are presented to demonstrate the effectiveness of the approach.

Effect of Fiber Volume Fraction on the Stress Intensity Factors for Multi Layered Composites Under Arbitrary Anti-Plane Shear Loading

  • Kim, Sung-Ho;Lee, Kang-Yong;Joo, Sung-Chul
    • Journal of Mechanical Science and Technology
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    • 제14권9호
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    • pp.920-927
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    • 2000
  • A multi-layered orthotropic material with a center crack is subjected to an anti-plane shear loading. The problem is formulated as a mixed boundary value problem by using the Fourier integral transform method. This gives a Fredholm integral equation of the second kind. The integral equation is solved numerically and anti-plane shear stress intensity factors are analyzed in terms of the material orthotropy for each layer, number of layers, crack length to layer thickness and the order of the loading polynomial. Also, the case of monolithic and hybrid composites are investigated in terms of the local fiber volume fraction and the global fiber volume fraction.

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