• 제목/요약/키워드: Green's formula

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축그린함수법을 이용한 정상상태의 스톡스유동해석 (Steady Stokes flow analysis using Axial Green's Function Formulation)

  • 김도완
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.256-258
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    • 2011
  • Using the axial Green's function method for Steady Stokes flows, we introduce a new pressure correction formula to satisfy the incompressibility condition, in which the pressure is related to the integral of the second order derivatives of the velocity. Based on this formula, we propose the iterative method for solving the Stokes flows in complicated domains. Even if the domain is complex, this method maintains the second order of convergence for the velocity.

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선형 탄성 문제의 경계적분식 해와 변분해의 동등성 증명 (Proof of equivalence of solutions of boundary integral and variational equations of the linear elasticity problem)

  • 유영면;박찬우;권길헌
    • 대한기계학회논문집
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    • 제11권6호
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    • pp.1001-1004
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    • 1987
  • 본 연구에서는 우선 선형 탄성문제의 변분해(variational solution)가 Sobol- ev 공간[ $H^{1}$(.OMEGA.)]= $H^{1}$(.OMEGA.)* $H^{1}$(.OMEGA.)* $H^{1}$(.OMEGA.)에서 유일하게 존재함을 재 검토하고 다음으로 경계적분식의 해도 변분해와 같음을 보인다. 이것은 선형 탄 성문제의 경우 고전해(classical solution)가 존재하지 않을 경우에도 BEM을 사용하여 변분해의 수치적 근사치를 구할 수 있다는 수학적 근거가 된다. 이를 위해서 Sobol- ev 공간 내에서의 Green's formula를 적용하는데 점하중해의 특이점(singularity)때문 에 Green's formula를 적용하기가 곤란해진다. 이 문제는 적분영역 .OMEGA.를 .OMEGA.-B$_{\rho }$로 치환하고 .rho.를 0으로 접근시키는 방법으로 해결한다. 이 때 B$_{\rho}$는 특이 점에 중심을 두고 매우 작은 변경 .rho.를 갖는 구이다.ho.를 갖는 구이다.

Maruo 공식에 의한 부가저항 계산에 대한 소고 (On the Calculation of Added Resistance of a Ship by Maruo′s Formula)

  • 홍도천;홍사영;김은찬
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2001년도 춘계학술대회 논문집
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    • pp.202-207
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    • 2001
  • The added resistance of a ship advancing in waves can be split into the resistance due to the radiation wave and the resistance due to the diffraction wave. In this study, the former has been calculated by a method based on Maruo's formula. The latter must be calculated by other methods. Ship motion is calculated by the usual strip method. The amplitude of two dimensional far-field waves is calculated using the improved Green integral equation. The present numerical method can be used for the estimation of the added resistance due to the radiation wave since the present numerical result is much smaller than other existing numerical results considered to be overestimated.

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재생과 증식에 기인하는 선량률 효과 (Dose-Rate Effects Generated from Repair and Regeneration)

  • 이본녕;조관호;막스 리차드;김재호
    • Radiation Oncology Journal
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    • 제7권2호
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    • pp.171-183
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    • 1989
  • Roesch의 생존 방정식속에 세포증식으로 일어나는 생존증가를 가장 일반적 형식으로 포함시킨 식을 유도하고 이 식으로부터 저선량률 방사선에만 적용되는 동결과선량식 (Isoeffect formula)을 유도하였다. 이 저선량률식이 파라메터 하나로 결정해주는 총선량은 Paterson과 Green에 의하여 얻어진 실험 임상결과와 일치한다. 이 파라메터와 선량률 효과 사이의 관계의 의의를 논하였다. 또한 고선량률 분절(fractionation) 치료와 동저선량률 계속치료를 연락하는 동결과 선량식을 유도 사용하여, Ellis가 잰 실험결과와 비교하였다. 그 결과, Ellis와 Paterson이 쓴 'tolerance'의 표준이 $\alpha/\beta$의 비 4Gy에 해당하는 것임이 밝혀졌다. 그러므로 이들의 'tolerance'의 표준은 'early effect'에만 두고 본 것이 아님을 알 수 있다. 개념적인 면에서도, 아래와 같은 새로운 견해가 나올 수 있다. KHT sarcoma의 생존선도 (survival curve)에 선량률 효과가 보이지 않는 이유로 $\alpha/\beta$의 비가 큰 점을 들을 수 있다. 이것은 이 survival curve에 어께 (shoulder)가 보이지 않는 것으로도 증명이 된다. Pierquin이 선량률에 무관하게 head and neck tumor치료에 같은 총선량을 쓴 것을 정당화시킬 수 있다.

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쓰로틀 밸브의 빠른 열림 동작에 의한 내부공력소음 (Internal Aerodynamic Noise from Quick Opening Throttle Valve)

  • 정철웅;김성태;김재헌;이수갑
    • 한국소음진동공학회논문집
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    • 제14권4호
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    • pp.310-318
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    • 2004
  • For many industrial problems originating from aerodynamic noise, noise prediction techniques, reliable and easy to apply, would be of great value to engineers and manufacturers. General algorithm is presented for the prediction of internal flow-induced noise from quick opening throttle valve in an automotive engine. This algorithm is based on the integral formula derived by using the General Green Function, Lighthill's acoustic analogy and Curle's extension of Lighthill's. Novel approach of this algorithm is that the integral formula is so arranged as to predict frequency-domain acoustic signal at any location in a duct by using unsteady flow data in space and time, which can be provided by the Computational Fluid Dynamics Techniques. This semi-analytic model is applied to the prediction of internal aerodynamic noise from a throttle valve in an automotive engine. The predicted noise levels from the throttle valve show good agreement with actual measurements. The results show that the dipole noise is dominant in this phenomena and the origin of noise sources is attributed to the anti-vortex lines formed in the down-stream from a throttle valve. This illustrative computation shows that the current method permits generalized predictions of flow noise generated by bluff bodies and turbulence in flow ducts.

Development of Hybrid Method for the Prediction of Internal Flow-induced Noise and Its Application to Throttle Valve Noise in an Automotive Engine

  • Cheong, Cheol-Ung;Kim, Sung-Tae;Kim, Jae-Heon;Lee, Soo-Gab
    • The Journal of the Acoustical Society of Korea
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    • 제22권4E호
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    • pp.183-196
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    • 2003
  • General algorithm is developed for the prediction of internal flow-induced noise. This algorithm is based on the integral formula derived by using the General Green Function, Lighthill's acoustic analogy and Curl's extension of Lighthill's. Novel approach of this algorithm is that the integral formula is so arranged as to predict frequency-domain acoustic signal at any location in a duct by using unsteady flow data in space and time, which can be provided by the Computational Fluid Dynamics Techniques. This semi-analytic model is applied to the prediction of internal aerodynamic noise from a throttle valve in an automotive engine. The predicted noise levels from the throttle valve are compared with actual measurements. This illustrative computation shows that the current method penn its generalized predictions of flow noise generated by bluff bodies and turbulence in flow ducts.

인공지반에서 금잔디의 증발산량 예측에 관한 연구 -퍼라이트 배합토에서 Makkink의 일사법을 이용하여- (A Study on the Estimation of Zoysia matrella's Evaporation Using Makkink Model)

  • 김도경;황지환
    • 한국조경학회지
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    • 제29권1호
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    • pp.161-167
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    • 2001
  • The purpose of this study is to find out the difference of Zoysia matrella's evaporation in between 100 percent soil and mixed soil with 50 percent of perlite to create green spaces on the artificial ground. It is believed that the weight against the artificial ground will be reduced, provided the vegetation is possible in the circumstance of the mixed sol with 50 percent of perlite. The study employed a modified Makkink's model by Iwasa who had developed the model for estimating Zoysia matrella's evaporation in the natural ground using the Makkink's formula in 1997 at Chiba University, Japan. The parameter of Makkink's formula is the solar radiation. For that reason, the Makkink's formula is simple and easy to measure the parameter and has a high utility. If the outcomes from mixed soil are close to modified Makkinks formula, the modified Makkink's formula will be applied to estimate in the artificial ground with mixed soil with 50 percent of perlite. Weather observation and actual amount of evaporation of Zoysia matrella have been measured, and the relation between weather condition and actual amount of evaporation had been also investigated. In line with this, we found out that there is a relevant relationship between daily average temperature, the modified Makkink's model by Iwasa, and the actual amount of evaporation. As the results of the experiment, the outcomes from mixed soil with 50 percent of perlite have very high relation to 100 percent soil. In addition, mixed soil has more adhesion with water than natural soil. However, it needs to be adequately maintained in terms of fertilization and damage from disease and harmful insects until the gras fastens its roots into the soil. By using mixed soil with 50 percent of perlite, the load from soil on the artificial ground can be reduced. The study on the growth of the grass throughout the plant vegetation and the actual amount of evaporation in the mixed soil with 50 percent of perlite should be performed in the future.

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Cathodoluminescence and Longevity Properties of Potential Sr1-xMxGa2S4:Eu (M = Ba or Ca) Green Phosphors for Field Emission Displays

  • Ko, Ki-Young;Huh, Young-Duk;Do, Young-Rag
    • Bulletin of the Korean Chemical Society
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    • 제29권4호
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    • pp.822-826
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    • 2008
  • We report the cathodoluminescence and aging properties of a series of green phosphors of formula $Sr_{1-x}M_xGa_2S_4$:Eu (x = 0.0-1.0, M = Ba or Ca) that have potential applications in field emission displays (FEDs). The series of phosphors was synthesized via NaBr-aided solid-state reactions in a flowing $H_2S$ stream. A low level ($\sim$20%) of Ba or Ca substitution for Sr in $SrGa_2S_4$:Eu maintains the orthorhombic phase of pure $SrGa_2S_4$:Eu phosphors. Further, a low level ($\sim$20%) of Ba or Ca substitution for Sr in $SrGa_2S_4$:Eu provides various green colors and sufficient brightness for FED applications. Substitution of Ba or Ca for Sr in $SrGa_2S_4$:Eu also improved the stability of the phosphor when it was operated under electron-beam irradiation of 5 kV.