• 제목/요약/키워드: a diffusion model

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종이내 수분확산 (제4보) - 종이의 비정상상태 수분확산 모델과 섬유상 수분확산 계수 - (Molecular Diffusion of Water in Paper (IV) - Mathematical model and fiber-phase moisture diffusivities for unsteady-state moisture diffusion through paper substrates -)

  • 윤성훈;박종문;이병철
    • 펄프종이기술
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    • 제34권3호
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    • pp.17-24
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    • 2002
  • An unsteady-state moisture diffusion through cellulosic fibers in paper was characterized from the moisture sorption experiment and the mathematical modeling. The sorption experiment was conducted by exposing thin dry paper specimens to a constant temperature-humidity environment. Oven dried blotting papers and filter papers were used as test samples and the gains of their weights were constantly monitored and recorded as a function of sorption time. For a mathematical approach, the moisture transport was assumed to be an one-dimensional diffusion in thickness direction through the geometrically symmetric structure of paper. The model was asymptotically simplified with a short-term approximation. It gave us a new insight into the moisture uptake phenomena as a function of square root of sorption time. The fiber-phase moisture diffusivities(FPMD) of paper samples were then determined by correlating the experimental data with the unsteady-state diffusion model obtained. Their values were found to be on the order of magnitude of $10^{-6}-10^{-7}cm^2$/min., which were equivalent to the hypothetical effective diffusion coefficients at the limit of zero porosity. The moisture sorption curve predicted from the model fairly agreed with that obtained from the experiment at some limited initial stages of the moisture uptake process. The FPMD value of paper significantly varied depending upon the current moisture content of paper. The mean FPMD was about 0.7-0.8 times as large as the short-term approximated FPMD.

대기오염물질의 연직 수송에 미치는 전선의 역할 I: 2차원 전선모델을 이용한 수송 실험 (The Role of Fronts on the Vertical Transport of Atmospheric Pollutants I: 2D frontal model experiment)

  • 남재철
    • 대기
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    • 제14권3호
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    • pp.29-40
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    • 2004
  • It is well known that convections and fronts are the most effective weather systems for the vertical transport of pollutants. I used a two dimensional front model in order to investigate the mechanism of the vertical transport of atmospheric pollutants between planetary boundary layer(PBL) and free atmosphere by fronts. The main dynamic processes which contribute the vertical transport of pollutants are advection and diffusion. The transported amount of pollutant from the boundary layer to the free atmosphere increases dramatically during the developing stage of the front. 46% of pollutants are transported vertically within 12 hour and 54% are transported within 24 hour. In the meantime, compared to the total amount of pollutants transported by both advection and diffusion, about 25% (30%) less pollutants are transported when only advection (diffusion) process in included in the model. The most important mechanism for the vertical transport is vertical advection, while the vertical diffusion process plays an important role in the redistribution of pollutants in the PBL.

열간정수압압축 시 확산기구 및 Power-law크립기구를 고려한 분말 치밀화거동의 모델링 (Modelling the Densification Behaviour of Powders Considering Diffusion and Power-Law Creep Mechanisms during Hot Isostatic Pressing)

  • 김형섭
    • 한국분말재료학회지
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    • 제7권3호
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    • pp.137-142
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    • 2000
  • In order to analyze the densification behaviour of stainless steel powder compacts during hot isostatic pressing (HIP) at elevated temperatures, a power-law creep constitutive model based on the plastic deformation theory for porous materials was applied to the densification. Various densification mechanisms including interparticle boundary diffusion, grain boundary diffusion and lattice diffusion mechanisms were incorporated in the constitutive model, as well. The power-law creep model in conjunction with various diffusion models was applied to the HIP process of 316L stainless steel powder compacts under 50 and 100 MPa at $1125^{\circ}C$. The results of the calculations were verified using literature data. It could be found that the contribution of the diffusional mechanisms is not significant under the current process conditions.

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Stability analysis in BWRs with double subdiffusion effects: Reduced order fractional model (DS-F-ROM)

  • Gilberto Espinosa-Paredes;Ricardo I. Cazares-Ramirez;Vishwesh A. Vyawahare;Erick-G. Espinosa-Martinez
    • Nuclear Engineering and Technology
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    • 제56권4호
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    • pp.1296-1309
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    • 2024
  • The aim of this work is to explore the effect of the double subdiffusion on the stability in BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order fractional model (DS-F-ROM) to describe the neutron and heat transfer processes was proposed for this study. The double subdiffusion was developed with a fractional-order two-equation model, and with different fractional-orders and relaxation times. The stability analysis was carried out using the root-locus method and change from the s to the W domain and were confirmed using the time-domain evolution of neutron flux for a unit step change in reactivity. The results obtained using the reduced fractional-order model are presented for different anomalous diffusion coefficient values. Results are compared with normal diffusion and P1 equations, which are obtained straightforwardly with DS-ROM when relaxation time tends to zero, and when the anomalous diffusion coefficient tends to one, respectively.

혁신제품 확산과정에 대한 저유량 모형 개발: 친환경 자동차를 대상으로 (Development of a Stock Flow Model on Diffusion Process of Innovative Goods: the Green Car Diffusion Case)

  • 박경배
    • 한국시스템다이내믹스연구
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    • 제14권3호
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    • pp.25-49
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    • 2013
  • As global competition for green car, that is environmentally friendly car, is getting tougher, the governments and the related industries are putting their core efforts in its diffusion. However, the green car sales are disappointing so far. To overcome the gridlock, it is necessary to develop concrete analytical framework to understand the diffusion process. Based on causal loop analysis from the previous work, we have identified main variables and relationships of them in the diffusion process and developed a stock-flow diagram and mathematical formula for the main components. The model would be applied for further quantitative simulation on the diffusion process of green car and other innovative goods as well. Also, we have suggested constructive insights for the policy makers and for the related industries. First, it is important to increase consumers' willingness to consider through marketing and word of mouth to accelerate the diffusion process. Second, in the perspective of the industry, the market share of green car should be increased at the earliest possible stage and this could be done by enhancing each components of green car attractiveness(e.g. price, driving range, social infra). Third, companies should develop a balanced investment between consumer and technology sector through a flexible financial policy. Fourth, the government continuously has the role of investing in the related R&D and social infra building. We expect the green car diffusion model and related formula from the research can provide meaningful tools to analyze the diffusion process of other new and innovative goods based on its deep researched literature review.

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의료서비스 소비자들의 의료 웹사이트 및 어플리케이션 사용확산에 관한 연구 (An Empirical Study on a Use-Diffusion Model of Medical Service Consumer's Web Based Application Usage)

  • 장영일;정유수
    • 경영과정보연구
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    • 제32권5호
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    • pp.19-43
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    • 2013
  • 전통적으로 새로운 기술에 대한 사용과 확산은 수용적 관점에서 많은 연구자들에게 관심거리였으며 신기술 수용후의 사용행동에 대한 설명을 위해 사용-확산(use-diffusion) 패러다임이 제시되었다. 본 연구는 새로운 마케팅 도구로서의 의료 웹사이트와 어플리케이션에 대한 소비자들의 사용유형과 지속적 사용의도를 파악하기 위해 사용확산모형을 바탕으로 의료정보의 품질, 의료 웹사이트와 어플리케이션의 사용성, 개인의 혁신성, 주관적 규범 등 사용량과 사용다양성의 선행변수로 보았다. 연구결과 주관적 규범이 의료 웹사이트나 어플리케이션의 사용량에 미치는 영향을 제외하고 모든 선행변수들이 사용다양성과 사용량에 영향을 미치는 것으로 나타났다. 이 사용량과 사용다양성의 사용유형은 의료 웹사이트와 어플리케이션이라는 새로운 의료 온라인마케팅 도구에 대한 지속적 사용과 유의한 연관성이있음을 알 수 있었다.

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2차원으로 구현한 다공성 매질의 확산주도영역에 관한 1차 물질이동 방정식의 유도 (Derivation of the First-Order Mass-Transfer Equation for a Diffusion-Dominated Zone of a 2-D Pore)

  • 김영우;서병민;황승민;박차식
    • 대한기계학회논문집B
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    • 제34권2호
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    • pp.99-103
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    • 2010
  • 다공성 매질상에서 유체와 용질의 이동은 Mobile zone과 Immobile zone으로 분리해서 분석하는 Mobile-Immobile Zone Model을 이용하여 쉽게 현상을 구현할 수 있었으나 본 연구에서는 2차원 4각형태의 pore 상에서 확산주도영역(Immobile zone)으로 들어가고 나오는 용질의 확산에 관한 새로운 Analytic solution을 유도하여 기존 MIM Zone model과 비교 분석하였다. 새롭게 유도된 Analytic solution은 기존의 MIM model 과 비교했을때 충분히 오랜시간이 경과한 후에는 해의 일치를 보이지만 MIM model의 경우 초기 농도값이 주입된 실제 농도보다 약 20 % 낮게 나타난다. Mass-transfer 계수, $\alpha$는 일반적으로 시간의 흐름에 따라 감소하게 되는데 일정 시간이 경과하게 되면 안정화 되고 일정함을 유지하며 그 시간은 무차원으로 약 ${\tau}_0=0.15$이다. 또한 $\alpha$는 분자확산과 비례하며 Immobile 영역의 깊이와 반비례하는 반면 작은 시간이 경과한 후에는 시간에 종속되어진다.

정보 파급 모델링을 위한 블로그 네트워크 구성 (Construction of a Blog Network based on Information Diffusion)

  • 임승환;김상욱;강규황;도영주
    • 한국정보과학회논문지:컴퓨팅의 실제 및 레터
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    • 제15권11호
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    • pp.841-845
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    • 2009
  • 독립 전파 모델은 블로그 월드 내에서 정보가 파급되는 현상을 분석하기 위해서 널리 이용되는 모델이다. 본 논문에서는 블로그 월드에서의 정보 파급 분석에 독려 전파 모델을 적용하기 위하여 블로그 네트워크를 구성하는 방법을 제안한다. 블로그 네트워크의 구성을 위하여 제안된 방법은 사용자 간의 액션 이력을 분석하여 두 사용자 간의 관계를 설정하고, 두 사용자 간의 파급 확률을 계산한다. 사용자간의 파급 확률을 계산하기 위해서 사용자가 정보의 파급을 의도하고 작성한 게시글들 중에서 실제로 특정 사용자에게 파급된 게시글들의 비율을 이용한다. 실제 블로그 월드의 데이터를 이용하여 정보의 파급 현상을 분석한 결과, 제안하는 기법이 기존의 기법에 비해서 정보의 파급 현상을 충실하게 반영하고 있는 것으로 나타났다.

확산 모형에 의한 고가 의료기기의 수요 확산의 특성분석 및 중장기 수요예측에 관한 연구 (A Study on a Long-term Demand Forecasting and Characterization of Diffusion Process for Medical Equipments based on Diffusion Model)

  • 홍정식;김태구;임달오
    • 보건행정학회지
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    • 제18권4호
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    • pp.85-110
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    • 2008
  • In this study, we explore the long-term demand forecasting of high-price medical equipments based on logistic and Bass diffusion model. We analyze the specific pattern of each equipment's diffusion curve by interpreting the parameter estimates of Bass diffusion model. Our findings are as follows. First, ultrasonic imaging system, CT are in the stage of maturity and so, the future demands of them are not too large. Second, medical image processing unit is between growth stage and maturity stage and so, the demand is expected to increase considerably for two or three years. Third, MRI is in the stage of take-off and Mammmography X-ray system is in the stage of maturity but, estimates of the potential number of adopters based on logistic model is considerably different to that based on Bass diffusion model. It means that additional data for these two equipments should be collected and analyzed to obtain the reliable estimates of their demands. Fourth, medical image processing unit have the largest q value. It means that the word-of-mouth effect is important in the diffusion of this equipment. Fifth, for MRI and Ultrasonic system, q/p values have the relatively large value. It means that collective power has an important role in adopting these two equipments.

밀도차에 의해 발생하는 이송을 고려한 휘발성 유기화합물 가스의 거동 (Behavior of Gaseous Volatile Organic Compounds Considered by Density-Dependent Gas Advection)

  • 이창수;이영화
    • 한국환경과학회지
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    • 제11권12호
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    • pp.1321-1326
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    • 2002
  • A numerical model is investigated to predict a behavior of the gaseous volatile organic compounds and a subsurface contamination caused by them in the unsaturated zone. Two dimensional advective-dispersion equation caused by a density difference and two dimensional diffusion equation are computed by a finite difference method in the numerical model. A laboratory experiment is also carried out to compare the results of the numerical model. The dimensions of the experimental plume are 1.2m in length, 0.5m in height, and 0.05m in thickness. In comparing the result of 2 methods used in the numerical model with the one of the experiment respectively, the one of the advective-dispersion equation shows better than the one the diffusion equation.