• Title/Summary/Keyword: 확산방정식

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Relationships between Airborne Droplet and Impression Diameters in Small Droplets (작은 분무입자(噴霧粒子)에 있어서 원형분무입자(原形噴霧粒子) 직경(直徑)과 살포(撒布)된 입자직경(粒子直徑)의 관계(關係))

  • Lee, Sang-Woo
    • Korean Journal of Agricultural Science
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    • v.6 no.2
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    • pp.192-197
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    • 1979
  • Spread factors were tried to determine the diameter of airborne droplet emitted: from the sprayer by the measurements of airborne droplet diameter emitted from the uniform size droplet producer and impression diameter on Kromekote card or Eucalypt's leaf in the different dilute concentration with Geigy Red Herbicide Dye from 0.5% to 2% by weight. The results abtained were as follows; The general form of the equation in the relationship between airborne droplet and impression diameter on Kromekote card or Eucalypt's leaf was an exponential equation as follows; $$Y=aX^b$$ which gave a linear relation on log-log graph paper. The spread factor seemed to be larger in the thin dilute concentration than in the thick dilute concentration. The spread factor was remarkably smaller on Eucalypt's leaf than on Kromekote card due to the penetration of liquid into the leaf and the stomata of the epidermis. The calculated equation of the mean depth of the droplet sprayed on Eucalypt's leaf was the same form as $Y=aX^b$, which implied that the spray liquid was distributed in surplus in accordance with the diameter of the droplet larger than the optimum size droplet to control insect and disease.

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Turbulence Models for the Surface Discharge of Heated Water (표면온배수 난류모형)

  • 최흥식;이길성
    • Water for future
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    • v.23 no.4
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    • pp.445-457
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    • 1990
  • In order to predict the dispersion of a thermal discharge with strong turbulent and buoyant effects, the development of a numerical model using turbulence model and its application are significantly increased. In this study, a 3-dimensional steady-state model for the surface discharge of heated water into quiescent water body is developed. For the model closure of turbulent terms the 4-equation turbulence model is used. For economic numerical simulation, the elliptic governing equations are transformed to the partially parabolic equations. In general, the simulated results by the present model agree well to the experimental results by Pande and Rajaratnam. The model characteristics are presented in comparison with the predicted results of the 2-equation turbulence model by McGuirk and Rodi. Applying the 4-equation turbulence model to the Korea nuclear unit 1 at Kori site, feasibility and efficiency of the present model are validated.

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Development of 3-D Hydrodynamical Model for Understanding Numerical Analysis of Density Current due to Salinity and Temperature and its Verification (염분과 온도차에 의한 밀도류 해석을 위한 3차원 동수역학적 수치모델의 개발 및 검증)

  • Lee, Woo-Dong;Hur, Dong-Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.3
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    • pp.859-871
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    • 2014
  • In order to analyze the density current due to salt and temperature difference, this study develops new numerical model (LES-WASS-3D ver. 2.0) by introducing state equation for salt and temperature and 3D advection-diffusion equation to existing 3D numerical wave tank (LES-WASS-3D ver. 1.0). To verify the applicability, the newly-developed numerical model is analyzed comparing to the experimental result of existing numerical model. In the result, it well implement the behavior and vertical salt concentration of advected and diffused seawater as well as flow velocity and temperature of the discharged warm water. This confirms the validity and effectiveness of the developed numerical model.

Distribution Behavior of Solute Element in Al-Mg-Zn Alloy Continuous Cast Billet During Homogenization Treatment (Al-Mg-Zn계 알루미늄 합금 연주 빌렛 균질화처리과정 중 용질원소 거동변화)

  • Myoung-Gyun Kim
    • Journal of Korea Foundry Society
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    • v.43 no.6
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    • pp.286-293
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    • 2023
  • In this study, we investigated the microstructural evolution of Al-Mg-Zn aluminum alloy billet during homogenization treatment using OM, SEM, EDS and DSC. There were numerous phases found, such as; AlMgZn, AlMgFe, and AlMgZnSi phases, in the grain of the cast billet. After 6 hours homogenization treatment, Zn was mostly dissolved, whereas, Mg and Si were only partly dissolved. Accordingly, only AlMgFe and AlMgSi remained. After 18 hours, all of the leftover Mg and Si were dissolved, leaving only AlMgFe, which was also found after 24 hours. The results of the alloy design program, JMatPro showed that Mg dissloved more rapidly than Zn. According to the homogenization kinetic equation, Mg and Zn are completely dissolved within 1.9 and 3.5 hours, respectively.

Growth of Silicon-Germanium Quantum-dots Through Local Enhancement of Surface Diffusivity (표면확산계수의 국소적 향상을 통한 실리콘-게르마늄 양자점의 성장)

  • Kim, Yun Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.7
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    • pp.653-657
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    • 2015
  • A numerical investigation to simulate the selective growth of silicon-germanium quantum-dots via local surface diffusivity enhancement is presented. A nonlinear equation for the waviness evolution of film surface is derived to consider the effects of spatially-varying diffusivity, influenced by a surface temperature profile. Results show that the morphology of the initially planar film shapes into an undulated surface upon perturbation, and a steady-state solution describes a fully grown quantum-dot. The present study points toward a fabrication technique that can obtain selectivity for self-assembly.

Numerical Model on Suspended Load Diffusion due to Tidal Flow (조류(潮流)에 의한 부유사(浮遊砂)의 확산(擴散)에 대한 수치모형(數値模型))

  • Lee, Jong Kyu;Ahn, Soo Hahn
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.4
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    • pp.13-23
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    • 1984
  • The purpose of this paper is to develop a numerical model which can be used to compute the suspended load concentration of which the two-dimensional unsteady diffusion equation is able to be solved by the finite difference method using the implicit scheme. The pick-up rate formula from the bottom used in the open channel as a sink source term and the Coleman's empirical formula for the diffusion coefficient were taken, and especially the hindered settling velocity and the vertical velocity of flow due to the periodical tidal motion were taken into account, while the effects of the variables, such as the horizontal and vertical velocities of flow, tidal range, the settling velocity and hindered settling, on the suspened load concentrations have been discussed, comparing the results obtained from the different cases in the simulation conditions.

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Conceptual Design for the Dispersal and Deposition Modelling of Fallout Ash from Mt. Baekdu Volcano (백두산 천지 화산의 화산재 확산과 침적 모델링을 위한 개념적 설계)

  • Yun, Sung-Hyo
    • The Journal of the Petrological Society of Korea
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    • v.22 no.4
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    • pp.273-289
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    • 2013
  • Fallout ash is a notorious hazard that can have a variety of damages on agriculture and infrastructure and, most notably to aviation and human health. This study discusses the design of a conceptual model to aid in modeling the dispersal and deposition of ash from Mt. Baekdu volcano. It includes a discussion of assumptions and boundary conditions of the model as well as a detailed diagram of the conceptual model, complete with input parameters, units and equations. The two main processes contained within the model are the dispersal and deposition of ash, the outputs obtained from running the model, if designed, would be the total amount of fine ash contained in the eruption column, distance travelled by ash and ash thickness at surface.

A Theoretical Study on the Colloid-facilitated Radionuclide Transport with Decay Chain in the Fractured Rock (균열암반에서 방사성 붕괴사슬과 콜로이드를 동반한 방사성 핵종의 이동에 관한 이론적 연구)

  • 박진백;황용수;강철형
    • Tunnel and Underground Space
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    • v.13 no.1
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    • pp.20-32
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    • 2003
  • To understand the behavior of migration of contaminants in a fractured porous medium is a key to assure the overall safety of a potential radwaste repository. The feasible retention mechanism of contaminant transport in a tinctured medium are sorption of contaminants on solid surface and matrix diffusion of contaminants from a fracture into an adjacent porous medium. The acceleration mechanisms are the migration of contaminants in the form of pseudo-colloids and the limit of a volume f3r matrix diffusion. In this paper, the effects of these two acceleration mechanisms are studied mathematically, then semi-analytically computed by the application of the Talbot theorem and verified. Results indicate that the acceleration processes cannot be neglected in the modeling of contaminant transport in a fractured porous medium.

A Study on the Evaluation Method of Subsidence Hazard by a Diffusion Equation and its Application (확산방정식을 이용한 침하 위험도 평가 기법 및 그 적용)

  • Ryu, Dong-Woo;Synn, Joong-Ho;Song, Won-Kyong;Kim, Taek-Kon;Park, Joon-Young
    • Tunnel and Underground Space
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    • v.17 no.5
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    • pp.372-380
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    • 2007
  • Surface damage due to subsidence is an inevitable consequence of underground mining, which may be immediate or delayed for many years. The surface damage due to abandoned underground mine is observed to be two subsidence types such as simple sinkhole or trough formation to a large scale sliding of the ground from with in the subsided area. An evaluation of the risk of a subsidence occurrence is vital in the areas affected by mining subsidence. For a subsidence prediction or a risk evaluation, there has been used various methods using empirical models, profile functions, influence functions and numerical models. In this study, a simple but efficient evaluation method of subsidence hazard is suggested, which is based on a diffusion theory and uses just information about geometry of caving and topography. The diffusion model has an analogous relationship with granular model which can explain a mechanism of subsidence. The diffusion model is applied for the evaluation of subsidence hazard in abandoned metal and coal mines. The model is found to be a simple but efficient tool because it needs information of geometry of caving and gangway and the topography.

Analysis for Chloride Penetration in Concrete under Deicing Agent using Multi Layer Diffusion (다층구조확산을 고려한 제설제에 노출된 콘크리트의 염화물 해석)

  • Seo, Ji-Seok;Kwon, Seung-Jun
    • The Journal of the Korea Contents Association
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    • v.16 no.4
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    • pp.114-122
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    • 2016
  • Concrete is cost-benefit and high-durable construction material, however durability problem can be caused due to steel corrosion under chloride attack. Recently deicing salt has been widely spread in snowing season, which accelerates micro-cracks and scaling in surface concrete and the melted deicing salt causes corrosion in embedded steel. The previous governing equation of Fick's 2nd Law cannot evaluate the deteriorated surface concrete so that another technique is needed for the surface effect. This paper presents chloride penetration analysis technique for concrete subjected to deicing salt utilizing multi-layer diffusion model and time-dependent diffusion behavior. For the work, field investigation results of concrete pavement exposed deicing salt for 18 years are adopted. Through reverse analysis, deteriorated depth and increased diffusion coefficient in the depth are evaluated, which shows 12.5~15.0mm of deteriorated depth and increased diffusion coefficient by 2.0 times. The proposed technique can be effectively applied to concrete with two different diffusion coefficients considering enhanced or deteriorated surface conditions.