• 제목/요약/키워드: top-layer equation

검색결과 24건 처리시간 0.032초

자연대류를 고려한 전류도입선의 최적설계 (Optimal design of Current lead considering Natural convection)

  • 손봉준;설승윤
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.103-108
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    • 2003
  • In this paper, the current lead for superconducting device is studied by numerical method. The current lead is cooled by surrounded $N_{2}$ gas by natural convection. The heat conduction equation for current lead and boundary layer equation for $N_{2}$ gas must be solved simultaneously. The boundary layer equation for $N_{2}$ gas is highly nonlinear for varied temperature of current lead. So the linearization method is adopted for simplicity. Numerical results using natural convection cooling are compared with the conventional cooling methods such as conduction cooling and vapor cooling methods. The main difference of natural convection cooing is the non-zero temperature gradient at the top of current lead for the minimum heat dissipation into superconducting devices. For the optimized conduction-cooling and vapor-cooling current leads, the temperature gradient at the top of current lead is zero. Also, the heat flow at the cold end is much smaller than conduction cooling case.

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가스터빈의 열차폐용 탑코팅 설계기술 (Top Coating Design Technique for Thermal Barrier of Gas Turbine)

  • 구재민;이시영;석창성
    • 한국정밀공학회지
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    • 제30권8호
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    • pp.802-808
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    • 2013
  • Thermal barrier coating (TBC) is used to protect substrates and extend the operating life of gas turbines in power plant and aeronautical applications. The major causes of failure of such coatings is spallation, which results from thermal stress due to a thermal expansion coefficient mismatch between the top coating and the bond coating layers. In this paper, the effects of the material properties and the thickness of the top coating layer on thermal stresses were evaluated using the finite element method and the equation for the thermal expansion coefficient mismatch stress. In addition, we investigated a design technique for the top coating whereby thermal resistance is exploited.

동상방지층을 포함한 노상층의 평균 CBR 산정에 관한 연구 (Estimation of the Mean CBR for the Subgrade Layer Including the Anti-Frost Layer)

  • 민경호;이처근;허열
    • 한국지반환경공학회 논문집
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    • 제3권1호
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    • pp.57-66
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    • 2002
  • 도로포장설계시 일반적으로 동상방지층을 노상층에 포함시키지 않고 단지 노상층의 CBR을 산정하여 그 강도에 적합한 도로포장구조를 결정하고 있다. 그러나, 현재 추세는 동상방지층을 노상층에 포함시켜 포장구조를 설계하고 있다. 동상방지층을 포함한 노상층의 평균 CBR을 사용하는 경우 노상층만의 CBR에 비해 상대적으로 큰 강도를 나타내므로 포장구조 두께는 감소한다. 그러나, 동상방지층을 포함한 노상층의 평균 CBR 산정식이 별도로 규정되어 있지 않으므로 CBR 결정에 많은 혼선을 가져오고 있다. 따라서, 본 연구에서는 동상방지층을 포함한 노상층의 평균 CBR을 산정하기 위하여 실내 및 현장 CBR 시험을 실시하였다. 실험결과를 근거로 노상층의 평균 CBR 산정에 편리한 수정식을 제안하였다. 또한, 노상층만의 CBR을 사용한 포장설계시와 동상방지층을 포함한 노상층의 평균 CBR을 사용한 포장설계시 포장두께를 비교하여 경제성을 검토하였다.

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TSM(Top Surface Metallurgy)이 증착된 유리기판의 Pb-free 솔더에 대한 무플럭스 젖음 특성 (The Fluxless Wetting Properties of TSM-coated Glass Substrate to the Pb-free Solders)

  • 홍순민;박재용;박창배;정재필;강춘식
    • 마이크로전자및패키징학회지
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    • 제7권2호
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    • pp.47-53
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    • 2000
  • TSM(Top Surface Metallurgy)이 증착된 유리기판의 Pb-free 솔더에 대한 젖음성을 무플럭스하에서 wetting balance법으로 평가하였다. TSM 층의 젖음성을 단면 증착시편의 wetting balance법으로부터 도출된 새로운 젖음성 지수들로 평가할 수 있었다. 유리기판의 TSM층으로는, Cu를 젖음층으로 하고 Au를 Cu의 산화 방지 층으로 사용하는 경우가 Au 자체를 젖음층으로 사용하는 경우보다 우수하였다. SnSb 솔더는 SnAg, SnBi, SnIn 솔더보다 TSM층에 대한 젖음특성이 우수하였다. 유리기판에 단면 증착된 TSM과 Pb-free솔더의 접촉각을 $F_{s}$와 기울어짐각을 측정하고, 메니스커스의 정적 상태에서 힘의 평형으로부터 유도된 식을 이용하여 계산할 수 있었다.

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1300℃급 가스터빈 1단 블레이드의 코팅분석을 이용한 열화평가 (Evaluation of the Degradation of a 1300℃-class Gas Turbine Blade by a Coating Analysis)

  • 송태훈;장성용;김범수;장중철
    • 대한금속재료학회지
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    • 제48권10호
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    • pp.901-906
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    • 2010
  • The first stage blade of a gas turbine was operated under a severe environment which included both $1300^{\circ}C$ hot gas and thermal stress. To obtain high efficiency, a thermal barrier coating (TBC) and an internal cooling system were used to increase the firing temperature. The TBC consists of multi-layer coatings of a ceramic outer layer (top coating) and a metallic inner layer (bond coat) between the ceramic and the substrate. The top and bond coating layer respectively act as a thermal barrier against hot gas and a buffer against the thermal stress caused by the difference in the thermal expansion coefficient between the ceramic and the substrate. Particularly, the bondcoating layer improves the resistance against oxidation and corrosion. An inter-diffusion layer is generated between the bond coat and the substrate due to the exposure at a high temperature and the diffusion phenomenon. A thickness measurement result showed that the bond coat of the suction side was thicker than that of the pressure side. The thickest inter-diffusion zone was noted at SS1 (Suction Side point 1). A chemical composition analysis of the bond coat showed aluminum depletion around the inter-diffusion layer. In this study, we evaluated the properties of the bond coat and the degradation of the coating layer used on a $1300^{\circ}C$-class gas turbine blade. Moreover, the operation temperature of the blade was estimated using the Arrhenius equation and this was compared with the result of a thermal analysis.

비정수압 자유수면 모형의 3차원 점성 흐름에의 적용 (Application of Non-hydrostatic Free Surface Model for Three-Dimensional Viscous Flows)

  • 최두용
    • 한국수자원학회논문집
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    • 제45권4호
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    • pp.349-360
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    • 2012
  • 본 연구에서는 3차원 점성 흐름에 적용될 수 있는 비정수압 자유수면 모형을 수평방향 직교 곡선좌표계에서 개발하였다. 개발된 수치모형은 엇갈린 격자를 사용함으로써 발생되는 자유수면에서의 경계조건 종결 문제를 수면층 방정식을 도입하여 해결하였으며, 난류의 유동 해석을 위한 폐합식으로 등방성의 k-${\varepsilon}$ 난류모형을 이용하였다. 본 연구에서 운동량방정식은 이송-확산항만으로 중간단계의 유속을 예측하고, 압력 및 중력을 포함하는 생성항과 연속방정식을 결합하여 다음 시간단계의 유동장을 결정하는 계산 단계 분리법을 이용하였다. 수치모형의 적용성 평가를 위하여 폐쇄된 2차원 수조에서의 취송류, 급경사를 가지는 2차원 수로에서의 흐름, 원심력에 의한 이차류 흐름특성 분석을 위한 3차원 급변 만곡류에 대한 모의를 실시하였다. 수치모의 예측치는 수리모형 실험값과 수위, 유속, 난류특성 등에서 일치하는 양상을 보이는 것이 확인되었다.

Seismic response analysis of layered soils considering effect of surcharge mass using HFTD approach. Part Ι: basic formulation and linear HFTD

  • Saffarian, Mohammad A.;Bagheripour, Mohammad H.
    • Geomechanics and Engineering
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    • 제6권6호
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    • pp.517-530
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    • 2014
  • Seismic ground response analysis is one of the most important issues in geotechnical earthquake engineering. Conventional seismic site response and free field analysis of layered soils does not consider the effect of surcharge mass which may be present on the top layer. Surcharge mass may develop extra inertial force to the soil and, hence, significantly affect on the results of seismic ground response analysis. Methods of analysis of ground response may also be categorized into time domain and frequency domain concepts. Simplicity in developing analytical relations and accuracy in considering soil dynamic properties dependency to loading frequency are benefits of frequency domain analysis. In this part of the paper, seismic ground response is analyzed using transfer function method for soil layers considering surcharge mass on the top layer. Equation of motion, wave equation, is solved using amended boundary conditions which effectively take the impact of surcharge mass into account. A computer program is developed by MATLAB software based on the solution method developed for wave equation. Layered soils subjected to earthquake loading were numerically studied and solved especially by the computer program developed in this research. Results obtained were compared with those given by DEEP SOIL computer program. Such comparison showed the accuracy of the program developed in this study. Also in this part, the effects of geometrical and mechanical properties of soil layers and especially the impact of surcharge mass on transfer function are investigated using the current approach and the program developed. The efficiency and accuracy of the method developed here is shown through some worked examples and through comparison of the results obtained here with those given by other approaches. Discussions on the results obtained are presented throughout in this part.

The receding contact problem of two elastic layers supported by two elastic quarter planes

  • Yaylaci, Murat;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제48권2호
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    • pp.241-255
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    • 2013
  • The receding contact problem for two elastic layers whose elastic constants and heights are different supported by two elastic quarter planes is considered. The lower layer is supported by two elastic quarter planes and the upper elastic layer is subjected to symmetrical distributed load whose heights are 2a on its top surface. It is assumed that the contact between all surfaces is frictionless and the effect of gravity force is neglected. The problem is formulated and solved by using Theory of Elasticity and Integral Transform Technique. The problem is reduced to a system of singular integral equations in which contact pressures are the unknown functions by using integral transform technique and boundary conditions of the problem. Stresses and displacements are expressed depending on the contact pressures using Fourier and Mellin formula technique. The singular integral equation is solved numerically by using Gauss-Jacobi integration formulation. Numerical results are obtained for various dimensionless quantities for the contact pressures and the contact areas are presented in graphics and tables.

Examination of analytical and finite element solutions regarding contact of a functionally graded layer

  • Yaylaci, Murat;Adiyaman, Gokhan;Oner, Erdal;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제76권3호
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    • pp.325-336
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    • 2020
  • In this study, the continuous and discontinuous contact problems of functionally graded (FG) layer resting on a rigid foundation were considered. The top of the FG layer was loaded by a distributed load. It was assumed that the shear modulus and the density of the layer varied according to exponential functions along the depth whereas the the Poisson ratio remained constant. The problem first was solved analytically and the results were verified with the ones obtained from finite element (FE) solution. In analytical solution, the stress and displacement components for FG layer were obtained by the help of Fourier integral transform. Critical load expression and integral equation for continuous and discontinuous contact, respectively, using corresponding boundary conditions in each case. The finite element solution of the problem was carried out using ANSYS software program. In continuous contact case, initial separation distance and contact stresses along the contact surface between the FG layer and the rigid foundation were examined. Separation distances and contact stresses were obtained in case of discontinuous contact. The effect of material properties and loading were investigated using both analytical and FE solutions. It was shown that obtained results were compatible with each other.

On the receding contact between a two-layer inhomogeneous laminate and a half-plane

  • Liu, Zhixin;Yan, Jie;Mi, Changwen
    • Structural Engineering and Mechanics
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    • 제66권3호
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    • pp.329-341
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    • 2018
  • This paper considers the smooth receding contact problem between a homogeneous half-plane and a composite laminate composed of an inhomogeneously coated elastic layer. The inhomogeneity of the elastic modulus of the coating is approximated by an exponential function along the thickness dimension. The three-component structure is pressed together by either a concentrated force or uniform pressures applied at the top surface of the composite laminate. Both semianalytical and finite element analysis are performed to solve for the extent of contact and the contact pressure. In the semianalytical formulation, Fourier integral transformation of governing equations and boundary conditions leads to a singular integral equation of Cauchy-type, which can be numerically integrated by Gauss-Chebyshev quadrature to a desired degree of accuracy. In the finite element modeling, the functionally graded coating is divided into homogeneous sublayers and the shear modulus of each sublayer is assigned at its lower boundary following the predefined exponential variation. In postprocessing, the stresses of any node belonging to sublayer interfaces are averaged over its surrounding elements. The results obtained from the semianalytical analysis are successfully validated against literature results and those of the finite element modeling. Extensive parametric studies suggest the practicability of optimizing the receding contact peak stress and the extent of contact in multilayered structures by the introduction of functionally graded coatings.