• 제목/요약/키워드: parabolic equation

검색결과 251건 처리시간 0.027초

좁은 휜이 달린 경사면을 흐르는 리튬브로마이드 수용액 흡수기에서의 열 및 물질전달 (Coupled Heat and Mass Transfer in Absorption of Water Vapor into LiBr-$H_2O$ Solution Flowing over a Finned Inclined Surface)

  • 조은준;서태범
    • 설비공학논문집
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    • 제13권9호
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    • pp.860-867
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    • 2001
  • Absorption of water vapor into LiBr-$H_2O$ O solution flowing over a finned inclined surface is numerically investigated. The momentum, energy, and diffusion equation are numerically solved using a finite difference method. The four different shapes of the wall surfaces are considered to find the best surface for absorption assuming that the wall temperature and the surface tension are constant. The effects of the fin interval and Reynolds number are investigated. Based on the numerical results, it is known that the parabolic surface shows better absorption performance than the other surfaces, and that water vapor absorption increases gradually with decreasing the fin interval.

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An Analytical Modeling of Threshold Voltage and Subthreshold Swing on Dual Material Surrounding Gate Nanoscale MOSFETs for High Speed Wireless Communication

  • Balamurugan, N.B.;Sankaranarayanan, K.;Amutha, P.;John, M. Fathima
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제8권3호
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    • pp.221-226
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    • 2008
  • A new two dimensional (2-D) analytical model for the Threshold Voltage on dual material surrounding gate (DMSG) MOSFETs is presented in this paper. The parabolic approximation technique is used to solve the 2-D Poisson equation with suitable boundary conditions. The simple and accurate analytical expression for the threshold voltage and sub-threshold swing is derived. It is seen that short channel effects (SCEs) in this structure is suppressed because of the perceivable step in the surface potential which screens the drain potential. We demonstrate that the proposed model exhibits significantly reduced SCEs, thus make it a more reliable device configuration for high speed wireless communication than the conventional single material surrounding gate (SMSG) MOSFETs.

일정체적 변단면 보의 정적 최적단면 (Static Optimal Shapes of Tapered Beams with Constant Volume)

  • 이병구;이태은;최규문;김영일
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.115-122
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    • 2002
  • The main purpose of this paper is to determine the static optimal shapes of tapered beams with constant volume. The linear, parabolic and sinusoidal tapers with the regular polygon cross-section are considered, whose material volume and span length are always held constant. The Runge-Kutta method is used to integrate the differential equation and also Shooting method is used to calculate the unknown boundary condition. Then the static optimal shapes are determined by reading the minimum values of the deflection versus section ratio curves plotted by the deflection data. In numerical examples, the various tapered beams are analyzed and those numerical results of this study are shown in figures.

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Effects of rotary inertia shear deformation and non-homogeneity on frequencies of beam

  • Avcar, Mehmet
    • Structural Engineering and Mechanics
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    • 제55권4호
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    • pp.871-884
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    • 2015
  • In the present study, separate and combined effects of rotary inertia, shear deformation and material non-homogeneity (MNH) on the values of natural frequencies of the simply supported beam are examined. MNH is characterized considering the parabolic variations of the Young's modulus and density along the thickness direction of the beam, while the value of Poisson's ratio is assumed to remain constant. At first, the equation of the motion including the effects of the rotary inertia, shear deformation and MNH is provided. Then the solutions including frequencies of the first three modes for various combinations of the parameters of the MNH, depth to length ratios, and shear corrections factors are reported. To show the accuracy of the present results, two comparisons are carried out and good agreements are found.

NUMERICAL SIMULATION OF REFRACT10N-DIFFRACTION OF WAVES C ONSIDERING BREAKING-INDUCED CURRENTS

  • Yoon, Sung-Bum;Lee, Jong-In;Lee, Chang-hoon;Park, Joon-Young
    • Water Engineering Research
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    • 제3권3호
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    • pp.203-213
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    • 2002
  • A wide-angle parabolic approximation equation model considering the interaction between wave and current is employed to simulate the deformation of irregular waves over a submerged shoal. It is found that the model gives qualitative agreements with experimental data for the cases of breaking waves around the shoal. Thus, the effect of breaking-induced current on the refraction-diffraction of waves is well understood.

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Analytical Surface Potential Model with TCAD Simulation Verification for Evaluation of Surrounding Gate TFET

  • Samuel, T.S. Arun;Balamurugan, N.B.;Niranjana, T.;Samyuktha, B.
    • Journal of Electrical Engineering and Technology
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    • 제9권2호
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    • pp.655-661
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    • 2014
  • In this paper, a new two dimensional (2D) analytical modeling and simulation for a surrounding gate tunnel field effect transistor (TFET) is proposed. The Parabolic approximation technique is used to solve the 2-D Poisson equation with suitable boundary conditions and analytical expressions for surface potential and electric field are derived. This electric field distribution is further used to calculate the tunneling generation rate and thus we numerically extract the tunneling current. The results show a significant improvement in on-current characteristics while short channel effects are greatly reduced. Effectiveness of the proposed model has been confirmed by comparing the analytical results with the TCAD simulation results.

직사각형 밀폐공간내 자연대류 열전달의 수치해석

  • 민만기
    • 대한설비공학회지:설비저널
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    • 제10권3호
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    • pp.185-219
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    • 1981
  • To analyze two dimensional incompressible laminar natural convection in a rectangular enclosure heated from below and cooled by a horizontal ceiling and two vertical walls, he primitive Navier-Stokes equations and the energy equation were solved numerically in time dependent form by a marker and cell method. A successive over-relaxation method for the elliptic portion of the problem and an explicit method for the parabolic portion were applied for the range of Grashoff number of $5{\times}10^3\;to\;5{\times}10^4$ to get the transient and steady state dimensionless temperature and velocity profiles. For the range of aspect ratio $L/H{\leqq}2.4$ in which only a pair of convection rolls exists mean Nusselt number calculated are as follows : $$N_{NU}0.89\;N_{Gr}^{0.2}(H/L)^{0.45}$$ By path lines drawn by marker particle trajectories roll number of cellular motion were observed for various aspect ratio of the enclosure.

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포물선형 평형 해안선 식의 범용적 사용을 위한 극좌표계로의 매핑 (Mapping of the Equilibrium Shoreline Equation of parabolic type into Polar Coordinates for Comprehensive Application)

  • 김동희;이정렬
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2015년도 학술발표회
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    • pp.202-206
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    • 2015
  • 해안선은 길게 뻗어 있지만 직선적이지 않고 원호와 같은 곡선을 보인다. 그러나 대부분의 평형 해안선식은 직선적 해안이라고 가정하고 수립되어 그 효용성이 큼에도 불구하고 실 해안에 적용되는 경우 잘 재현하지 못하는 경우가 범용적으로 이용되는 데 큰 걸림돌이 되었다. 특히 해안선의 포괄 원호의 반경이 작을수록 문제가 크다는 점에 착안하여 해안선을 포괄하는 극좌표계에 포물선형 평형 해안선 식을 매핑하는 방법을 적용하였다. 그 결과 control point의 개연성을 극복하였고 대부분의 동해, 서해든 국내 해안에 적용한 결과 만족할 만한 결과를 제공하였다. Matlab GUI로 개발되어 실무자들이 항만이나 어항 등 연안해역 개발에 따른 침식 문제의 근본 해결 방안을 사전에 수립하는 데 큰 도움이 되리라 기대한다.

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풍성류 계산을 위한 연직 와점성계수 산정방법의 비교평가 (Comparative Evaluation of Determination Methods of Vertical Eddy Viscosity for Computation of Wind-Induced Flows)

  • 정태성;이길성;오병철
    • 한국해안해양공학회지
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    • 제6권3호
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    • pp.205-215
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    • 1994
  • 난류모형을 도입하여 풍성류에 대한 3차원 수치모형을 수립하고, 풍성류 계산에 있어서 연직 와점성계수 산정방법들에 대한 비교평가를 수행하였다. 검토된 방법은 함수형(0-방정식), 1-방정식, 2개의 2-방정식 난류모형($ extsc{k}$-$\varepsilon$$textsc{k}$-ι)이며, 난류모형은 난류확산 특성길이의 연직분포에 대한 비교를 통하여 각 방법의 특징이 검토되었다. 양단이 막힌 수로와 순환수로에서 유속의 연직분포 계산결과를 수리실험자료와 비교검증하였다. 분석결과에 의하면 1-방정식 난류모형에 적합한 난류확산 특성길이 산정식은 포물선형이었으며, 2-방정식 난류모형($textsc{k}$-ι 모형과 $textsc{k}$-$\varepsilon$모형)은 대체로 실험치와 일치하는 경향을 보였다. 바람에 의한 영향이 전수심에 미치지 않는 경우에 가정된 연직 와점성계수의 분포는 바람이 영향을 미치는 수심까지만 적용되며, 영향이 없는 수심에서는 연직확산이 거의 일어나지 않아 적정성계수의 크기가 0에 가까웠다.

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Markov Envelope를 이용한 지진동의 위상차 확률분포와 전파지연시간의 추정 (Inference of the Probability Distribution of Phase Difference and the Path Duration of Ground Motion from Markov Envelope)

  • 최항;윤병익
    • 한국지진공학회논문집
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    • 제26권5호
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    • pp.191-202
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    • 2022
  • Markov envelope as a theoretical solution of the parabolic wave equation with Markov approximation for the von Kármán type random medium is studied and approximated with the convolution of two probability density functions (pdf) of normal and gamma distributions considering the previous studies on the applications of Radiative Transfer Theory (RTT) and the analysis results of earthquake records. Through the approximation with gamma pdf, the constant shape parameter of 2 was determined regardless of the source distance ro. This finding means that the scattering process has the property of an inhomogeneous single-scattering Poisson process, unlike the previous studies, which resulted in a homogeneous multiple-scattering Poisson process. Approximated Markov envelope can be treated as the normalized mean square (MS) envelope for ground acceleration because of the flat source Fourier spectrum. Based on such characteristics, the path duration is estimated from the approximated MS envelope and compared to the empirical formula derived by Boore and Thompson. The results clearly show that the path duration increases proportionately to ro1/2-ro2, and the peak value of the RMS envelope is attenuated by exp (-0.0033ro), excluding the geometrical attenuation. The attenuation slope for ro≤100 km is quite similar to that of effective attenuation for shallow crustal earthquakes, and it may be difficult to distinguish the contribution of intrinsic attenuation from effective attenuation. Slowly varying dispersive delay, also called the medium effect, represented by regular pdf, governs the path duration for the source distance shorter than 100 km. Moreover, the diffraction term, also called the distance effect because of scattering, fully controls the path duration beyond the source distance of 300 km and has a steep gradient compared to the medium effect. Source distance 100-300 km is a transition range of the path duration governing effect from random medium to distance. This means that the scattering may not be the prime cause of peak attenuation and envelope broadening for the source distance of less than 200 km. Furthermore, it is also shown that normal distribution is appropriate for the probability distribution of phase difference, as asserted in the previous studies.