• Title/Summary/Keyword: N.S. 방정식

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Alkaline Hydrolysis of Esters across the Heterogeneous Liquid-Liquid Interface (불균일계 액-액 접촉 계면을 통한 ester의 알카리 가수분해 반응)

  • Park, Sang-Wook;Moon, Jin-Bok;Ko, Myung-Sook;Kim, Gun-Woo
    • Applied Chemistry for Engineering
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    • v.3 no.1
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    • pp.119-129
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    • 1992
  • The rates of mass transfer with the alkaline hydrolysis of ethyl acetate and n-butyl acetate were measured by using a modified Lewis cell. The rates of mass transfer with chemical reaction were independent of the speed of agitation, and the reaction enhancement factors were independent of the ionic strength. The second order reaction rate constants of ethyl acetate and n-butyl acetate could be obtained from an approximate solution of a diffusion equation by film theory, and their values were $0.041m^3/kg\;mol{\cdot}s$ and $0.338m^3/kgmol{\cdot}s$, respectively.

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On the Seasonal Transports of Freshwater and Salt in the Tropical Atlantic Ocean (열대 대서양에서의 계절별 담수 및 염분의 수송)

  • Jung-Moon Yoo
    • International Union of Geodesy and Geophysics Korean Journal of Geophysical Research
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    • v.22 no.1
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    • pp.1.1-15
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    • 1994
  • The transports of the seasonal freshwater and salt from surface to 500 m depth in the tropical Atlantic Ocean are derived from the equations of the continuity and saltconservation, respectively. The freshwater transport is obtained by southward integration of the divergence of surface freshwater flux, using climatological freshwater(i. e. precipitation, evaporation, and river discharge) data. The annual freshwater transport is northward, ranging from 0 Sv near the equator to 0.3 Sv at $12^{\circ}{\;}N{\;}and{\;}20^{\circ}{\;}S$. The seasonal meridional transport amounts of freshwater range from 1.35 Sv to-0.45 Sv. The strong northward freshwater transports prevail for the intraseasonal period summer to fall. This seasonal cycle is caused by the shifts of the ITCZ as well as the changes in the local freshwater storage. Annual and seasonal salt transports are calculated from objectively analyzed historical (1900-86) salinity observations. The annual salt flux in the ocean zero, showing that the salt flux by horizontal advection balances the flux by horizontal diffusion. The salt flux due to the diffusion is northward, and has a maximum of $5{\;}{\times}{\;}10^6kg/s$ at 15oN. Seasonal transport amounts of salt range from $30{\;}{\times}{\;}10^6kg/s{\;}to{\;}-35{\;}{\times}10^6kg/s$. The direction of the seasonal salt transports is northward except for the intraseasonal period summer to fall.

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Content-Addressable Systolic Array for Solving Tridiagonal Linear Equation Systems (삼중대각행렬 선형방정식의 해를 구하기 위한 내용-주소법 씨스톨릭 어레이)

  • 이병홍;김정선;채수환
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.6
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    • pp.556-565
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    • 1991
  • Using the WDZ decomposition algorithm, a parallel algorithm is presented for solving the linear system Ax=b which has an nxn nonsingular tridiagonal matrix. For implementing this algorithm a CAM systolic arrary is proposed, and each processing element of this array has its own CAM to store the nonzero elements of the tridiagonal matrix. In order to evaluate this array the algorithm presented is compared to theis compared to the LU decomposition algorithm. It is found that the execution time of the algorithm presented is reduced to about 1/4 than that of the LU decomposition algorithm. If each computation process step can be dome in one time unit, the system of eqations is solved in a systolic fashion without central control is obtained in 2n+1 time steps.

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A Numerical Analysis of the Heat Flow Equation using the Finite Element Method (유한요소법을 이용한 열흐름 방정식의 수치해석)

  • 이은구;김태한;김철성;강성수;이동렬
    • Proceedings of the IEEK Conference
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    • 2001.06b
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    • pp.161-164
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    • 2001
  • 정상상태에서 소자 내부의 격자온도 분포를 해석할 수 있는 시뮬레이터를 제작하였다. Slotboom 변수를 사용하여 열흐름 방정식을 이산화하였다. 또한 격자온도 분포를 고려한 초기 해의 설정 방법을 제안하였다. 제안된 방법의 타당성을 검증하기 위하여 N/sup + P 정합 다이오드에 대해 모의실험을 수행하여 MEDICI의 결과와 비교하였다 순방향 전압-전류 특성은 MEDICI의 결과와 비교하여 7% 이내의 최대 상대오차를 보였고 전위 분포와 온도 분포는 각각 2%, 2% 이내의 최대 상대오차를 보였다. BANDIS에서는 수렴을 위해 평균 3.7회 이하의 행렬 연산이 필요하였으며, MEDICI에서는 평균 5.1회 이하의 행렬 연산이 필요하였다.

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SOFTWARE DEVELOPMENT OF HIGH-PRECISION EPHEMERIDES OF SOLAR SYSTEM (II) (태양계 행성의 고정확도 위치계산에 과한 연구(II))

  • 신종섭;안영숙;박필호;박은광;박종옥
    • Journal of Astronomy and Space Sciences
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    • v.12 no.1
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    • pp.78-89
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    • 1995
  • We solved n-body problem about 9 planets, moon, and 4 minor planets with relativistic effect related to the basic equation of motion of the solar system. Perturbations including flgure potential of the earth and the moon and solid earth tidal effect were considered on this relativistic equation of motion. The orientations employed precession and nutation for the earth, and lunar libration model with Eckert's lunar libration model based on J2000.0 were used for the moon. Finally, we developed heliocentric ecliptic position and velocity of each planet using this software package named the SSEG (Solar System Ephemerides Generator) by long-term (more than 100 years) simulation on CRAY-2S super computer, through testing each subroutine on personal computer and short-time(within 800 dyas) running on SUN3/280 workstation. Epoch of input data JD2440400.5 were adopted in order to compare our results to the data archived from JPL's DE 200 by Standish and Newhall. Above equation of motion was integrated numerically having 1-day step-size interval through 40,000 days (about 110 years long) as total computing interval. We obtained high-precision ephemerides of the planets with maximum error, less $than\pm2\times10^{-8}AU(\approx\pm3km)$ compared with DE200 data (except for mars and moon).

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A Study on the N2O Separation Process from Crude N2O (Crude N2O로부터 정제된 N2O 분리공정에 관한 연구)

  • Cho, Jungho;Lee, Taekhong;Park, Jongki
    • Korean Chemical Engineering Research
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    • v.43 no.4
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    • pp.467-473
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    • 2005
  • Liquid phase nitrous oxide ($N_2O$) contains air, carbon monoxide, water, carbon dioxide and NOx as main impurities. It is known to be very dangerous to obtain a very pure $N_2O$ product by using solidification at low temperature. In this study a new method to obtain a high purity of $N_2O$ product based on a continuous distillation process was introduced. For the modeling of the continuous distillation process to obtain a product having a purity over 99.999% of $N_2O$ stream, Intalox wire gauze packing- No. SCH-80S gauze packing column was used. Peng-Robinson equation of state was used for the modeling of the continuous distillation process and refrigeration system. Computational results performed in this work showed a good agreement with Aspen Plus simulation results.

A discretization method of the three dimensional heat flow equation with excellent convergence characteristics (우수한 수렴특성을 갖는 3차원 열흐름 방정식의 이산화 방법)

  • Lee, Eun-Gu;Yun, Hyun-Min;Kim, Cheol-Seong
    • Journal of IKEEE
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    • v.6 no.2 s.11
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    • pp.136-145
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    • 2002
  • The simulator for the analysis of the lattice temperature under the steady-state condition is developed. The heat flow equation using the Slotboom variables is discretized and the integration method of the thermal conductivity without using the numerical analysis method is presented. The simulations are executed on the $N^+P$ junction diode and BJT to verify the proposed method. The average relative error of the lattice temperature of $N^+P$ diode compared with DAVINCI is 2% when 1.4[V] forward bias is applied and the average relative error of the lattice temperature of BJT compared with MEDICI is 3% when 5.0[V] is applied to the collector contact and 0.5[V] is applied to the base contact. BANDIS using the proposed method of integration of thermal conductivity needs 3.45 times of matrix solution to solve one bias step and DAVINCI needs 5.1 times of matrix solution MEDICI needs 4.3 times of matrix solution.

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The Slop Compensation Algorithm of Speech Spectrum by QMF (Quadrature Mirror Filter) (QMF Filter에 의한 음성스펙트럼의 기울기 보상 알고리즘)

  • Min, So-Yeon;Bae, Myung-Jin
    • Proceedings of the KAIS Fall Conference
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    • 2006.05a
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    • pp.364-367
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    • 2006
  • 음성신호를 관찰하였을 때 성문특성으로 인해서 고주파 쪽 특성이 약화되는 경향이 있다. 약화된 고주파 특성을 보상하기 위하여 프리 엠퍼시스 필터를 통해 보상하고 있다. 프리 엠퍼시스 필터를 간단한 수식으로 표현하면 y(n)=s(n)-As(n-1)와 같이 차분 방정식으로 나타낼 수 있다. 여기서 A값은 보통 0.9에서 1사이의 값을 사용한다. 본 논문에서는 QMF 필터를 이용하여 입력신호를 고주파와 저주파의 2개의 대역으로 분할하여 각 밴드에 프리 엠퍼시스 필터를 적용하여 약화되어진 특성을 정확히 보상하는 방법을 제안한다.

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On the Flattening Techniques of Vocal track characteristics by using position information of the LSP (Line Spectrum Pairs) (LSP parameter의 위치정보를 이용한 성도특성 평탄화기법)

  • Kim YoungKyou;MIN SoYeon;BAE MyungJin
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.171-174
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    • 2002
  • 음성신호는 성문특성으로 인해 고주파 특성이 약화되는 경향이 있다. 이를 보상하기 위해 Pre-emphasis filter를 사용한다. 수식으로 표현하면 y(n)=s(n)-As(n-1) 와 같이 차분방정식으로 나타낼 수 있다. 여기서 A값은 보통 0.9에서 1사이의 값을 주로 사용한다. 그러나 Pre-emphasis filter는 고주파 특성을 보상하는 과정에서 극점과 같이 영점도 왜곡된다. 본 논문에서는 음성특성에 따른 LSP(Line Spectrum Pairs) 분포특성을 이용하여 영점을 보존하고 vocoder 및 coding에 필연적인 고주파 특성 혹은 저주파 특성을 강조한다.

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An Analytical Model for the Derivation of the Ⅰ-Ⅴ Characteristics of a Short Channel InAlAs/InGaAs HEMT by Solving Two-Dimensional Poisson's Equation (2차원 Poisson방정식 풀이에 의한 단 채널 InAlAs/InGaAs HEMT의 전류-전압 특성 도출에 관한 해석적 모델)

  • Oh, Young-Hae;Suh, Chung-Ha
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.44 no.5
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    • pp.21-28
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    • 2007
  • In this paper, in order to derive the two-dimensional field effect of n-InAlAs/InGaAs HEMTs, we suggested analytical model by solving the two-dimensional Poisson's equation in both InAlAs and InGaAs regions by taking into account the longitudinal field variation, field-dependent mobility, and the continuity condition of the channel current flowing within the quantum well shaped channel. Derived expressions for long and short channel devices would be applicable to the entire operating regions in a unified manner. Simulation results show that the drain saturation current increases and the threshold voltage decreases as drain voltage increases. Compared with the conventional model, the present model may offer more reasonable explanation for the drain-induced threshold voltage roll-off, the Early effect, and the channel length modulation effect. Furthermore, it is expected that the proposed model would provide more reasonable theoretical basis for analyzing various long and short channel InAlAs/InGaAs HEMT devices.