• Title/Summary/Keyword: Dispersion equation

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A Development of Lagrangian Particle Dispersion Model (Focusing on Calculation Methods of the Concentration Profile) (라그란지안 입자확산모델개발(농도 계산방법의 검토))

  • 구윤서
    • Journal of Korean Society for Atmospheric Environment
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    • v.15 no.6
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    • pp.757-765
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    • 1999
  • Lagrangian particle dispersion model(LPDM) is an effective tool to calculate the dispersion from a point source since it dose not induce numerical diffusion errors in solving the pollutant dispersion equation. Fictitious particles are released to the atmosphere from the emission source and they are then transported by the mean velocity and diffused by the turbulent eddy motion in the LPDM. The concentration distribution from the dispersed particles in the calculation domain are finally estimated by applying a particle count method or a Gaussian kernel method. The two methods for calculating concentration profiles were compared each other and tested against the analytic solution and the tracer experiment to find the strength and weakness of each method and to choose computationally time saving method for the LPDM. The calculated concentrations from the particle count method was heavily dependent on the number of the particles released at the emission source. It requires lots fo particle emission to reach the converged concentration field. And resulting concentrations were also dependent on the size of numerical grid. The concentration field by the Gaussian kernel method, however, converged with a low particle emission rate at the source and was in good agreement with the analytic solution and the tracer experiment. The results showed that Gaussian kernel method was more effective method to calculate the concentrations in the LPDM.

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Measurement of temperature dependence of the zero dispersion wavelength using Four-Wave mixing in DSF (4광파혼합을 이용한 온도에 따른 분산천이광섬유(DSF)의 영분산파장 변화 측정)

  • 김상혁;김동환;조재철;김선호;김상국;최상삼
    • Korean Journal of Optics and Photonics
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    • v.9 no.2
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    • pp.123-126
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    • 1998
  • We derived an equation showing the temperature dependence of the zero-dispersion wavelength and measured the temperature dependence of the zero dispersion wavelength using four-wave mixing in dispersion shifted fibers in the range of $22^{\circ}C-59^{\circ}C$ From the experimental results, we found that the zero-dispersion wavelength is increased as the temperature around DSF increases and its temperature dependence is 0.032 nm/$^{\circ}C$. Also, the calculated behavior of FWM efficiency coincided with the experimental result.

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The influence of the fluid flow velocity and direction on the wave dispersion in the initially inhomogeneously stressed hollow cylinder containing this fluid

  • Surkay D. Akbarov;Jamila N. Imamaliyeva;Reyhan S. Akbarli
    • Coupled systems mechanics
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    • v.13 no.3
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    • pp.247-275
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    • 2024
  • The paper studies the influence of the fluid flow velocity and flow direction in the initial state on the dispersion of the axisymmetric waves propagating in the inhomogeneously pre-stressed hollow cylinder containing this fluid. The corresponding eigenvalue problem is formulated within the scope of the three-dimensional linearized theory of elastic waves in bodies with initial stresses, and with linearized Euler equations for the inviscid compressible fluid. The discrete-analytical solution method is employed, and analytical expressions of the sought values are derived from the solution to the corresponding field equations by employing the discrete-analytical method. The dispersion equation is obtained using these expressions and boundary and related compatibility conditions. Numerical results related to the action of the fluid flow velocity and flow direction on the influence of the inhomogeneous initial stresses on the dispersion curves in the zeroth and first modes are presented and discussed. As a result of the analyses of the numerical results, it is established how the fluid flow velocity and flow direction act on the magnitude of the influence of the initial inhomogeneous stresses on the wave propagation velocity in the cylinder containing the fluid.

A Numerical Study on the Anisotropic Thermal Conduction by Phonon Mean Free Path Spectrum of Silicon in Silicon-on-Insulator Transistor (실리콘 박막 트랜지스터 내 포논 평균자유행로 스펙트럼 비등방성 열전도 특성에 대한 수치적 연구)

  • Kang, Hyung-sun;Koh, Young Ha;Jin, Jae Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.2
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    • pp.111-117
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    • 2016
  • The primary concern of this research is to examine the phonon mean free path (MFP) spectrum contribution to heat conduction. The size effect of materials is determined by phonon MFP, and the size effect appears when the phonon MFP is similar to or less than the characteristic length of materials. Therefore, knowledge of the phonon MFP is essential to increase or decrease the heat conduction of a material for engineering applications, such as micro/nanosystems. In this study, frequency dependence of the phonon transport is considered using the Boltzmann transport equation based on a full phonon dispersion model. Additionally, the phonon MFP spectrums of in-plane and out-of-plane heat transport are investigated by varying the film thickness of the silicon layer from 41 nm to 177 nm. This will increase the understanding of anisotropic heat conduction in a SOI (Silicon-on-Insulator) transistor.

Study of Prediction of Reliability of Barrel in Small Arms by Dispersion Anlaysis (분산도 분석기법을 통한 총열 신뢰성 예측에 관한 연구)

  • Kim, Hyun Jun;Chae, Je Wook;Choe, Eui Jung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.2
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    • pp.227-232
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    • 2013
  • This study proposes a method for predicting the reliability of the barrel in small arms by analyzing the dispersion. The periodicity with which the barrel needs to be changed can be determined by detecting the inner surface directly or by inspecting scratches inside the barrel using an optical sensor. However, soldiers and directors in the logistics command need a more easy way to check the periodicity of barrel. Therefore, this study focuses on the relation between the firing round and the dispersion. A simple equation can be experimentally derived from pre-tests and analyses. This equation is confirmed through firing tests. In this sense, it can be easily applied to determine the periodicity with which the barrel of small arms needs to be changed in the field army.

Dispersion Model of Initial Consequence Analysis for Instantaneous Chemical Release (순간적인 화학물질 누출에 따른 초기 피해영향 범위 산정을 위한 분산모델 연구)

  • Son, Tai Eun;Lee, Eui Ju
    • Journal of the Korean Society of Safety
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    • v.37 no.2
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    • pp.1-9
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    • 2022
  • Most factories deal with toxic or flammable chemicals in their industrial processes. These hazardous substances pose a risk of leakage due to accidents, such as fire and explosion. In the event of chemical release, massive casualties and property damage can result; hence, quantitative risk prediction and assessment are necessary. Several methods are available for evaluating chemical dispersion in the atmosphere, and most analyses are considered neutral in dispersion models and under far-field wind condition. The foregoing assumption renders a model valid only after a considerable time has elapsed from the moment chemicals are released or dispersed from a source. Hence, an initial dispersion model is required to assess risk quantitatively and predict the extent of damage because the most dangerous locations are those near a leak source. In this study, the dispersion model for initial consequence analysis was developed with three-dimensional unsteady advective diffusion equation. In this expression, instantaneous leakage is assumed as a puff, and wind velocity is considered as a coordinate transform in the solution. To minimize the buoyant force, ethane is used as leaked fuel, and two different diffusion coefficients are introduced. The calculated concentration field with a molecular diffusion coefficient shows a moving circular iso-line in the horizontal plane. The maximum concentration decreases as time progresses and distance increases. In the case of using a coefficient for turbulent diffusion, the dispersion along the wind velocity direction is enhanced, and an elliptic iso-contour line is found. The result yielded by a widely used commercial program, ALOHA, was compared with the end point of the lower explosion limit. In the future, we plan to build a more accurate and general initial risk assessment model by considering the turbulence diffusion and buoyancy effect on dispersion.

Numerical Simulations of the Flowfield and Pollutant Dispersion over 2-D Bell-Shaped Hills (2차원 종형 언덕 주위의 유동 및 확산현상에 관한 수치해석 연구)

  • Park K.;Park W. G.
    • Journal of computational fluids engineering
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    • v.3 no.1
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    • pp.63-72
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    • 1998
  • The numerical simulations of flowfield and pollutant dispersion over two-dimensional hills of various shapes are described. The Reynolds-averaged Wavier-Stokes equations and concentration diffusion equation based on the gradient diffusion theory have been applied to the atmospheric shear flow over the bell-shaped hills which are basic components of the complex terrain. The flow characteristics such as velocity profiles of the geophysical boundary layer, speed-up phenomena, mean pollutant concentration profiles are compared with experimental data to validate the present numerical procedure and it has been found that the present numerical results agree well with experiments and other numerical data. It has been also found that the distributions of ground level concentration are strongly influenced by the source location and height.

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The Surface Tension Components of Mixed Surfactant Solutions (혼합계면활성제 용액의 표면장력 성분)

  • 정혜원;윤혜신
    • Journal of the Korean Society of Clothing and Textiles
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    • v.20 no.4
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    • pp.690-696
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    • 1996
  • In order to study the affect of surfactants on the soil removal, the dispersion and polar force components of surface tension for surfactant solutions (such as LAS, AS, AOS, AES, AE) were calculated using extended Fowkes equation. The contact angles on paraffin and surface tension of surfactant solutions were measured. Cmcs of LAS, AS, AES and AE were below the concentration of 0.05%, but the cmc of AOS was between 0.05% and 0.1%. The surface tension of AE was lowest but the dispersion force component was greastest. Total surface tension of every mixed anionic surfactant was lower than that of single surfactants, and the dispersion force components were almost decreased. The addition of sodium carbonate to the sufactant solutions decreased the surface tension, and the surface tensions of surfactant solutions were lowered after washing.

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A Nuclide Decay Chain Transport Model by the Method of Characteristics

  • Lee, Youn-Myoung;Kang, Chul-Hyung;Hahn, Pil-Soo;Chun, Kwan-Sik
    • Nuclear Engineering and Technology
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    • v.29 no.4
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    • pp.320-326
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    • 1997
  • The nuclide transport in the one-dimensional porous medium is considered as a first step in developing a decay chain transport in multidimensional inhomogeneous media. A method of solving conventional advection-dispersion equation with decay chain of arbitrary length by using the method of characteristics (MOC) is introduced. In specific cases where the advection are dominant rather than dispersion, the method is known to be useful : one of the most distinctive advantages in applying the model is that the MU minimizes the numerical dispersion, which is distinguished in such common numerical schemes as finite element method and finite difference method. The suggested model is considered to be effective through several illustrations for the case that decay chain of arbitrary length is involved during transport which is difficult to solve by standard numerical solutions if the medium becomes more complicated.

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Dispersion Characteristics of Periodically Loaded Conducting Posts in a Rectangular Waveguide as an Interaction Circuit of Broadband Gyro-TWT

  • Lee, Yong-Hee;Lee, Jae-Gon;Lee, Jeong-Hae
    • KIEE International Transactions on Electrophysics and Applications
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    • v.4C no.6
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    • pp.263-267
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    • 2004
  • A new type of interaction circuitry for a broadband gyro-TWT is presented in this paper. A method for the analysis of dispersion characteristics of a periodic structure, which is composed of conducting posts in a rectangular waveguide, is presented. This method utilizes a mode matching technique and equivalent circuit model. The calculated and measured results demonstrate that this periodic structure could be utilized for the interaction circuit of a wide band Gyro-TWT.