• Title/Summary/Keyword: 이차미분

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Aerodynamic Shape Optimization Using a Continuous Adjoint Formulation on Unstructured Meshes (비정렬 격자계에서 Continuous Adjoint 방정식을 이용한 공력 형상 최적 설계)

  • Lee, Sang-Wook;Kwon, Oh-Joon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.4
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    • pp.18-27
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    • 2002
  • Aerodynamic shape optimization of two-dimensional airfoils in inviscid compressible flows is performed using a continuous adjoint formulation on unstructured meshes. Accurate evaluation of the gradient is achieved by using a reconstruction scheme based on the Laplacian averaging. A least-square method with extended stencil is used for flow gradient calculations. Proper convergence criterion is studied on Euler and adjoint equations for efficient design. The present method has been applied to RAE2822 and NACA0012 airfoils such that wave drag can be minimized by removing the shock wave. An inverse design is also performed to recover the shock wave on the designed RAE2822 airfoil.

Transformation of Long Waves Propagating over Trench (트렌치 위를 통과하는 장파의 변형)

  • Jung, Tae-Hwa;Suh, Kyung-Duck;Cho, Yong-Sik;Park, Sung-Hyun
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.3
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    • pp.228-236
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    • 2007
  • An analytical solution for long waves propagating over an asymmetric trench is derived. The water depth inside the trench varies in proportion to a power of distance from the center of the trench. The mild-slope equation, governing equation, is transformed into second order ordinary differential equation with variable coefficients by using the long wave assumption and then the analytical solution is obtained by using the power series technique. The analytical solution is confirmed by comparison with the numerical solution. After calculating the analytical solution under various conditions, the results are analyzed.

Temperature Dependence of the Gain Spectrum of a Quantum Well Laser (양자우물 레이저의 이득 곡선의 온도 의존성)

  • 김동철;유건호;박종대;김태환
    • Korean Journal of Optics and Photonics
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    • v.6 no.4
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    • pp.302-309
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    • 1995
  • We desinged a lattice-matched InGaAs/lnGaAsP quantum well laser that lases at $1.55{\mu}m$ at room temperature, and calculated the gain spectrum as a function of injected carrier density and temperature. For the calculation of band structures and momentum matrix elements, we used a transfer JIlatrix method based on a block-diagonalized 8x8 second-order Ii$.$ P Hamiltonian. This lattice-matched quantum well lases in transverse electric mode. As the temperature increases, the lasing wavelength gets longer, the transparency carrier density increases, and the differential gain is reduced. The temperature dependence of the gain spectrum comes from the temperature dependence of the band structure and that of the Fermi function, and the latter contributes dominantly.nantly.

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Thermal Flux Analysis for the Wearable NOx Gas Sensors (웨어러블 NOx 가스센서의 열유동 해석)

  • Jang, Kyung-uk
    • Journal of IKEEE
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    • v.23 no.3
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    • pp.793-799
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    • 2019
  • In this study, the diffusion process and the thermal energy distribution gradient of the sensor were confirmed by using the finite element analysis program (COMSOL) of the mesh method to analyze the thermal diffusion in the wearable fabric (Nylon) + MWCNT gas sensor. To analyze the diffusion process of thermal energy, the structure of the gas sensor was modeled in a two dimension plane. The proposed modeling was presented with the characteristic value for the component of the sensor, and the gas sensor designed using the mesh finite element method (FEM) was proposed and analyzed by suggesting the one-way partial differential equation in the governing equation to know the degree of thermal energy diffusion and the thermal energy gradient. In addition, the temperature gradient 10[K/mm] of the anode-cathode electrode layer and the gas detection unit was investigated by suggesting the heat velocity transfer equation.

Assessment of stress in virtual reality environment using power spectral density ratio and second derivative of photoplethysmography (광 혈류 신호의 주파수 파워 특성과 이차 미분값을 이용한 가상환경의 스트레스 평가)

  • Y.H. Nam;Kim, H.T.;H.D. Ko;Park, K.S.
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2001.11a
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    • pp.169-172
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    • 2001
  • There are many people who suffer from simulation sickness when immersing in virtual reality. In this study, we analyzed two photoplethysmogram(PPG) parameters - a second derivative parameter and power spectral density ratios - in order to relate PPG parameters with simulation sickness. 36 young, healthy subjects were participated in the experiment, and each subject was equipped with a PPG electrode during his or her immersion. Simulation sickness section was defined as a 7 - second section which starts from the point where a subject reported simulation sickness, and normal section as a same-length section where no physical stimuli was presented to him or her. We compared the PPG parameters of the simulation sickness sections with the normal sections, - d/a ratio is believed to have lower value during vasodilation and higher value during vasoconstriction, however, we could not find much difference in the parameter between normal and simulation sickness sections. We also compared 1 to 10Hz power spectral density ratios in normal sections with in simulation sickness section, and found that 6 density ratios among them have different value. Therefore, the density ratios might be utilized as parameters to detect simulation sickness of subjects.

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타원편광분석법을 이용한 $In_xAl_{1-x}P$ 박막의 광물성 연구

  • Byeon, Jun-Seok;Hwang, Sun-Yong;Kim, Tae-Jung;Kim, Yeong-Dong;Aspnes, D.E.;Chang, Y.C.;Yun, Jae-Jin;Lee, Eun-Hye;Bae, Min-Hwan;Song, Jin-Dong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.423-423
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    • 2013
  • 3~5 족 반도체 물질인 phosphorus 화합물 중 대표적인 InAlP 삼종화합물은 작은 굴절률, 큰 밴드갭, GaAs와 lattice 일치 때문에 큰 주목을 받고 있고, p-type high electron mobility transistors(p-HEMT), laser diodes 등의 고속 전자소자 및 광전 소자에 응용이 가능한 매우 중요한 물질이다. 최적의 소자 응용기술을 위해서는, 정확한 광물성 연구가 수행되어야 하지만 InxAl1-xP 화합물에 대한 유전율 함수 및 전자전이점 등의 연구는 미흡한 실정이다. 이에 본 연구에서는 1.5~6.0 eV 에너지 영역에서 각기 다른 In 조성비를 갖는 InxAl1-xP 화합물의 가유전율 함수 ${\varepsilon}={\varepsilon}_1+i{\varepsilon}_2$와 전자전이점 데이터를 보고한다. GaAs 기판 위에 molecular beam epitaxy (MBE)를 이용하여 InxAl1-xP (x=0.000, 0.186, 0.310, 0.475, 0.715, 0.831, 1.000) 박막을 성장하였고 타원편광분석기를 이용하여 유전율 함수를 측정하였다. 또한 실시간 화학적 에칭을 통하여 시료 표면에 자연산화막을 제거함으로써 순수한 InAlP의 유전율 함수를 측정할 수 있었고, 측정된 유전율 함수를 이차미분하여 In 조성비에 따른 전자전이점을 얻을 수 있었다. 얻어진 전자전이점 값을 이용하여 linear augmented Slater-type orbital method (LASTO) 를 통해 이론적 전자 밴드 구조 계산을 하였고, 이를 바탕으로 $E_0$, $E_1$, $E_2$ 전이점 지역의 여러 전자전이점($E_1$, $E_1+{\Delta}_1$, $E_0'$, $E_0'+{\Delta}_0'$, $E_2$, $E_2'$)의 특성을 정의할 수 있었고, $E_0'$$E_2$ 전이점의 에너지 값이 In 조성비가 증가함에 따라 서로 교차함을 발견할 수 있었다. 타원 편광 분석법을 이용한 유전율 함수 및 전자전이점 연구는 InAlP의 광학적 데이터베이스를 확보하는 성과와 더불어 새로운 디바이스 기술 및 광통신 산업에도 유용한 정보가 될 것이다.

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The Study on Structural Change and Improvement of Electrochemical Properties by Co-precipitation Condition of Li[Ni0.8Co0.15Al0.05]O2 Electrode (Li[Ni0.8Co0.15Al0.05]O2 전극의 공침 조건을 통한 구조적 변화와 전기적 특성의 향상 고찰)

  • Im, Jung-Bin;Son, Jong-Tae
    • Journal of the Korean Electrochemical Society
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    • v.14 no.2
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    • pp.98-103
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    • 2011
  • [ $Li[Ni_{0.8}Co_{0.15}Al_{0.05}]O_2$ ]cathode material for lithium secondary battery is obtained using co-precipitation method. To determine the optimal metal solution concentration value, the CSTR coprecipitation was carried out at various concentration values(1-2 mol/L). The surface morphology of coated samples was characterization by SEM(scanning electron microscope) and XRD (X-Ray Diffraction)analyses. Impedance analysis and cyclic voltammogram presented that internal resistance of the cell was dependent upon the concentration of metal solution. such data is very helpful in determining the optimal content of metal solution concentration to enhancing electrochemical property by adjusting powder size distribution and crystal structure.

COMPUTATION OF TURBULENT NATURAL CONVECTION WITH THE ELLIPTIC-BLENDING SECOND-MOMENT CLOSURE (타원혼합 이차모멘트 모델을 사용한 난류 자연대류 해석)

  • Choi, S.K.;Han, J.W.;Kim, S.O.;Lee, T.H.
    • Journal of computational fluids engineering
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    • v.21 no.4
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    • pp.102-111
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    • 2016
  • In this paper a computation of turbulent natural convection in enclosures with the elliptic-blending based differential and algebraic flux models is presented. The primary emphasis of the study is placed on an investigation of accuracy of the treatment of turbulent heat fluxes with the elliptic-blending second-moment closure for the turbulent natural convection flows. The turbulent heat fluxes in this study are treated by the elliptic-blending based algebraic and differential flux models. The previous turbulence model constants are adjusted to produce accurate solutions. The proposed models are applied to the prediction of turbulent natural convections in a 1:5 rectangular cavity and in a square cavity with conducting top and bottom walls, which are commonly used for validation of the turbulence models. The relative performance between the algebraic and differential flux model is examined through comparing with experimental data. It is shown that both the elliptic-blending based models predict well the mean velocity and temperature, thereby the wall shear stress and Nusselt number. It is also shown that the elliptic-blending based algebraic flux model produces solutions which are as accurate as those by the differential flux model.

A Study on Estimation of Energy required for Fin Unfolding (공력면 전개에 필요한 전개 에너지의 추산에 관한 연구)

  • Jung, Suk-Young
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.3
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    • pp.283-292
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    • 2009
  • Considering an integral equation governing the motion of unfolding fin, an algebraic equation was acquired to get estimated minimum deployment energy required for the successful fin unfolding under the given wind condition. To complete the integration of moment, some approximations had to be introduced particularly to frictional moment and aerodynamic damping for which deployment angular speed of the unfolding fin was modelled as a function of deployment angle only with assumed profile using expected maximum angular speed. Technique for the estimation of the minimum required deployment energy was finalized by introducing the ideal deployment angular speed representing work done by the fin unfolding device alone during fin unfolding and was confirmed by comparing results from simulation with various aerodynamic conditions and profiles of the hinge torque.

Plasma Rotation in Plasma Centrifuge with an Annular Gap (동심 원통형 용기내에서의 플라즈마 회전)

  • Hue Yeon Lee;Sang Hee Hong
    • Nuclear Engineering and Technology
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    • v.14 no.2
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    • pp.78-85
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    • 1982
  • The steady-state rotation of plasma centrifuge is theoretically analyzed to understand the physics of rotating plasmas and its feasibility for isotope separation. The centrifuge system under consideration consists of an annular gap between coaxial cylindrical anode and cathode in the presence of an externally-applied axial magnetic field. A problem for coupled partial differential equations describing centrifuge fields is formulated on the basis of the magnetohydrodynamic equations. Two-dimensional solutions are found analytically in the form of Fourier-Bessel series. The current density and velocity distributions are discussed in terms of the Hartmann number and the geometrical parameter of the system. At typical conditions, rotational speeds of the plasma up to the order of 10$^4$m/sec are achievable, and increase either with increasing Hartmann number, or with increasing ratio of the axial length to the inner radius of the cylinder. In view of much higher speeds of rotation which can be achieved in plasma centrifuge, it is expected that its efficiency is superior to mechanically driven gas centrifuges.

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