• Title/Summary/Keyword: diffusivity equation

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Study on the numerical models of turbulent dispersion of solid particles in a two-phase turbulent jet flow (이상난류제트 유동에서 고체입자 난류확산의 수치모델에 관한 연구)

  • 양선규;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.1
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    • pp.1-18
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    • 1987
  • Prediction performances by Einstein's equation of diffusivity, Peskin's model, Three-Equation model, Four-Equation model and Algebraic Stress Model, have been compared by analyzing twophase (air-solid) turbulent jet flow. Turbulent kinetic energy equation of dispersed phase was solved to investigate effects of turbulent kinetic energy on turbulent diffusivity. Turbulent kinetic energy dissipation rate of particles has been considered by solving turbulent kinetic energy dissipation rate equation of dispesed phase and applying it to turbulent diffusivity of dispersed phase. Results show that turbulent diffusivity of dispersed phase can be expressed by turbulent kinetic energy ratio between phases and prediction of turbulent kinetic energy was improved by considering turbulent kinetic energy dissipation rate of dispersed phase for modelling turbulent diffusivity. This investigation also show that Algebraic Stress Model is the most promising method in analyzing gas-solid two phaes turbulent flow.

A Study on the Improvement of Dynamic Characteristics of Spindle-Work System in Lathe - Focused on the Bolt Juint between Headstock and Bed - (선반주축계의 동특성 향상에 관한 연구 -주축대와 베드의 보울트 결합을 중심으로-)

  • 신용호;박태원;홍동표;정인성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.1
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    • pp.1-7
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    • 1988
  • Prediction performances by Einstein's equation of diffusivity, Peskin's model, Three-Equation model, Four-Equation model and Algebraic Stress Model, have been compared by analyzing twophase (air-solid) turbulent jet flow. Turbulent kinetic energy equation of dispersed phase was solved to investigate effects of turbulent kinetic energy on turbulent diffusivity. Turbulent kinetic energy dissipation rate of particles has been considered by solving turbulent kinetic energy dissipation rate equation of dispersed phase and applying it to turbulent diffusivity of dispersed phase. Results show that turbulent diffusivity of dispersed phase can be expressed by turbulent kinetic energy ratio between phases and prediction of turbulent kinetic energy was improved by considering turbulent kinetic energy dissipation rate of dispersed phase for modelling turbulent diffusivity. This investigation also show that Algebraic Stress Model is the most promising method in analyzing gas-solid two phases turbulent flow.

Evaluation of Ground Temperature and Soil Thermal Diffusivity Using the Soil Temperature Data of KMA (기상청 지중 온도 데이터를 이용한 지중 온도 및 토양 열확산계수 산정)

  • Sohn, Byong-Hu
    • Journal of the Korean Society for Geothermal and Hydrothermal Energy
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    • v.7 no.1
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    • pp.1-9
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    • 2011
  • Storing and transferring heat in soils is governed by the soil thermal properties and these properties are therefore needed in many engineering applications, including horizontal ground heat exchanger for ground-coupled heat pumps. This paper presents the evaluation results of the ground subsurface temperature and apparent thermal diffusivity of soils by using ground temperature data collected at the depths of 0.5 m, 1.0 m, 1.5 m, 3.0 m, and 5.0 m at four sites. The existing correlation assuming that the soil was homogeneous and of constant thermal diffusivity was applied to calculate the subsurface temperature and two analytical equations, amplitude and phase equation, were also used to evaluate the soil apparent thermal diffusivity. Comparison of the estimated and of the measured values of the subsurface temperature has shown that the empirical correlation predicts quite accurately the ground temperature at various depths. Based on the one-dimensional heat conduction equation, the apparent thermal diffusivity can be estimated by the two equations.

A Study on Estimation of Vertical Diffusivity in Fractured Bedrock Aquifer (단열암반 대수층에서 수직분산도 추정에 관한 연구)

  • 이진용;이강근;정형재;배광옥
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2000.11a
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    • pp.247-250
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    • 2000
  • This study focused on developing a convolution solution for estimating vertical diffusivity of a less permeable hydrogeologic unit in a bedrock aquifer. The diffusivity and corresponding hydraulic conductivity were estimated using the developed convolution equation. An application case was presented in this study.

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Estimation of Effective Moisture Diffusivity of Rapeseed (Brassica napus L.) (유채 종자의 수본확산계수에 관한 연구)

  • Duc, Le Ahn;Hong, Sang-Jin;Han, Jae-Woong;Keum, Dong-Hyuk
    • Journal of Biosystems Engineering
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    • v.33 no.5
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    • pp.296-302
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    • 2008
  • The effective moisture diffusivity and its dependence on drying temperature during drying of rapeseed were experimentally investigated. The data were recorded from thin layer drying experiments at nine different combinations of drying air temperatures of 40, 50, and $60^{\circ}C$ and the relative humidities of 30, 45, and 60%. The moisture diffusion equation was analyzed using stepwise multiple regression analysis. Effective moisture diffusivities were calculated based on the moisture diffusion equation for a spherical shape using Fick's second law. The effective diffusivities during the drying of rapeseed were $l.72{\times}10^{-11}$, $2.41{\times}10^{-11}$ and $3.31{\times}10^{-11}\;m^2{\cdot}s^{-1}$ at 40, 50 and $60^{\circ}C$, respectively. The activation energy for moisture diffusion during drying was $28.47\;kJ{\cdot}mol^{-1}$. The dependence of moisture diffusivity on temperature was described by an Arrhenius-type equation. Drying occurred in the falling rate period and the internal moisture diffusion phenomenon is the governing physical mechanism of the moisture movement in the particles.

Experimental Study on the Time-dependent Property of Chloride Diffusivity of Concrete (콘크리트의 염소이온 확산계수의 시간의존성에 대한 실험적 고찰)

  • Choi, Doo Sun;Choi, Jae Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.4A
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    • pp.365-371
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    • 2009
  • It is time-consuming to estimate chloride diffusivity of concrete by concentration difference test. For the reason chloride diffusivity of concrete is mainly tested by electrically accelerated method, which is accelerating the movement of chloride ion by potential difference. In this study, portland cement concrete and concrete containing with ground granulated blast-furnace slag (40 and 60% of cement by weight) with water-cementitious material ratio 40, 45, 50 and 60% were manufactured. To compare with chloride diffusivity calculated from the electrically accelerated test and immersed test in artifical seawater, chloride diffusivity tests were conducted. From the results of regression analysis, regression equation between accelerated chloride diffusivity and immersed chloride diffusivity was linear function. And the determinant coefficient was 0.96 for linear equation.

Enhancement of Surface Diffusivity for Waviness Evolution on Heteroepitaxial Thin Films

  • Kim, Yun Young
    • Journal of the Korean institute of surface engineering
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    • v.47 no.6
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    • pp.287-292
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    • 2014
  • The present study deals with a numerical analysis on the island growth of heteroepitaxial thin-films through local surface diffusivity enhancement. A non-linear governing equation for the surface waviness evolution in lattice-mismatched material systems is developed for the case of spatially-varying surface diffusivity. Results show that a flat film that is stable under constant diffusivity conditions evolves to form nanostructures upon externally-induced spatial diffusivity modulation. The periodicity of waviness can be controlled by changing the modulation parameters, which allows for generation of pattern arrays. The present study therefore points towards a post-deposition treatment technique that achieves controllability and order in the structure formation process for applications in nanoelectronics and thin-film devices.

Model to Predict Non-Homogeneous Soil Temperature Variation Influenced by Solar Irradiation (일사영향권내 비균질 토양의 열적거동 예측 모델)

  • Kim, Yong-Hwan;Hyun, Myung-Taek;Kang, Eun-Chul;Park, Yong-Jung;Lee, Euy-Joon
    • Journal of the Korean Solar Energy Society
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    • v.26 no.4
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    • pp.1-7
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    • 2006
  • This study is to develop a model to predict the soil temperature variation in Korea Institute of Energy Research using its thermal properties, such as thermal conductivity and diffusivity. Soil depth temperature variation is very important in the design of a proper Ground Source Heat Pump (GSHP) system. This is because the size of the borehole depends on the soil temperature distribution, and this can decrease GSHP system cost. If the thermal diffusivity and thermal conductivity are known, the soil temperature can be predicted by either the Krarti equation or the Spitler equation. Then a comparison with the Krarti equation and Spitler equation data with the real measured data can be performed. Also, the thermal properties can be reasonably approximated by performing a fit of the Krarti and Spitler equations with measured temperature data. This was done and, as a result, the Krarti equation and Spitler equation predicted values very close to the measured data. Although there is about a $0.5^{\circ}C$ difference between the deep subsurface prediction (16m - 60m), with this equation, were expected to have model this Non-Homogeneous Soil Temperature phenomenon properly. So, it has been shown that a prediction of non-homogeneous soil temperature variation influenced by solar radiation can be achieved with a model.

Prediction Model of Absorbed Quantity and Diffusivity of Salf in Radish during Salting (무우의 염절임시 소금의 침투량과 확산도 예측모델)

  • 최용희;권태연
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.20 no.6
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    • pp.572-581
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    • 1991
  • For the development of a model to predict absorbed salt quantity in radish during salting, absorbed salt quantity and water content change in radish by the hour were measured at 5%, 10%, 15% brine concentration and $10^{\circ}C,\;20^{\circ}C,\;30^{\circ}C$ respectively. Absorbed salt quantity in radish by the time showed logarithmic function, absorbed salt quantity by brine concentration and temperature showed linear relation. A model to predict absorbed salt quantity in radish at each time, brine concentration and temperature was calculated by the regression program of SPSS. Apparent diffusivity of salt in radish was calculated from appropriated diffusion equation solution of Fick's second law using computer simulation. Salt diffusivity in radish increased as brine concentration increased and the effect of temperature could by expressed by Arrhenius equation. A model equation which could predict salt diffusivity was developed by regression analysis. To specify relation between salt quantity which absorbed into radish and water content which removed out of it, Flux ratio(${\Delta}W/{\Delta}S$) was calcuated. The values showed that the removed water content was greater than the absorbed salt quantity.

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An Analysis of Axisymmetric Two Dimensional Heat Diffusion Equation to Measure the Thermal Diffusivity of Layered Materials (積層材料의 熱擴散係數測定을 위한 軸對稱 二次元 熱擴散方程式의 解析)

  • 김진원;이흥주
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.3
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    • pp.349-356
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    • 1986
  • For the extension of application in flash method measuring the thermophysical properties of materials, the heat diffusion equation with the heat transfer loss from front, rear, and circumferential surfaces of two layer cylinderical sample is mathematically analyzed by means of Green's function for axially symmetric pulse heating on the front of samples. The solutions are applied to determine the unknown thermal diffusivity of the two materials and analyzed the measurement error due to heat loss and finite pulse time effects.