• Title/Summary/Keyword: diffusivity equation

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Physical Properties and Apparent Thermal Diffusivity of the Soils where Soil Temperature is Measured Regularly (기상청(氣象廳) 지온(地溫) 측정(測定) 토양(土壤)의 물리적(物理的) 성질(性質)과 겉보기 열확산(熱擴散) 계수(係數) 산정(算定))

  • Song, Kwan-Cheol;Jung, Yeong-Sang;Kim, Byung-Chan;Ahn, Yoon-Soo;Um, Ki-Tae
    • Korean Journal of Soil Science and Fertilizer
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    • v.25 no.3
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    • pp.220-230
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    • 1992
  • Soil temperature is one of the important environmental factors which control all the physical, chemical and biological processes in soil including germination and root growth of plants and other organisms living in the soil ecosystem. Soil water and nutrient availability and mobility are temperature dependent. Soil temperature change is depended primarily upon energy exchange in soil surface, meteorological variance and physical properties of the soils which are closely related to heat transfer mechanism. In this study physical properties including bulk density, soil texture and organic matter content were measured and thermal diffusivity on the soils was calculated. Soil samples from the 66 meteorological stations under the Korea Meteorology were collected and the physical parameters were measured. To obtain relationship between thermal diffusivity and soil water content a heat probe thermal diffusivity measurement apparatus was designed and used in this experiment. According to the survey on soil physicsal properties on the 66 meteorological stations, the 52% of the surface soil texture were sandy loam and laomy sand or sand, 38% were loam and silty loam, and 10% were clay loam and silty clay loam. The bulk density which was closely related with thermal properties showed average of $1.41g/cm^3$ for sandy soils, $1.33g/cm^3$ for loam and silty loam soils, and $1.21g/cm^3$ for clay loam and silty clay loam soils. The apparent thermal diffusivity of the upper layer from 0 to 30cm ranged from 1.16 to $8.40{\times}10^{-3}cm^3/sec$ with average of $3.53{\times}10^{-3}cm^3/sec$. The apparent thermal diffusivities of the Jeju soils of which organic matter contents were high and the bulk densities were low were near $2{\times}10^{-3}cm^3/sec$. The thermal diffusivity of snow measured in Chuncheon ranged from 0.822 to $2.237{\times}10^{-3}cm^3/sec$. The damping depth calculated from the thermal diffusivity ranged from 5.92 to 13.65cm for daily basis and 124 to 342cm for yearly basis. The significant regression equation to estimate thermal diffusivity with bulk density and soil water content was obtained by the heat probe in laboratory.

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Influence of Porosity on the CO2 Diffusion Characteristic in Concrete (공극률을 고려한 콘크리트 중의 이산화탄소 확산특성에 관한 연구)

  • Oh, Byung-Hwan;Jung, Sang-Hwa;Lee, Myung-Kue
    • Journal of the Korea Concrete Institute
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    • v.15 no.3
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    • pp.443-453
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    • 2003
  • The diffusivity of carbon dioxide in concrete is very important in that it directly affects the degree of carbonation in concrete structures. The purpose of the present study is to explore the diffusivity of carbon dioxide and to derive a realistic equation to estimate the diffusion coefficient of carbon dioxide in concrete. For this purpose, several series of concrete specimens have been tested. Major test variables were the water-cement ratios. The total porosities and the diffusion coefficients of carbon dioxide were measured for the specimens. The present study indicates that the measured porosities agree well with the calculated ones. The effects of porosity and relative humidity on the diffusion coefficient of carbon dioxide were examined. A prediction equation to estimate the diffusion coefficient of carbon dioxide was derived and proposed in this study. The proposed equation shows reasonably good correlation with test data on the $CO_2$ diffusion coefficient of concrete

Thermal Diffusivity of PEEK/SiC and PEEK/CF Composites (PEEK/SiC와 PEEK/CF 복합재료의 열확산도에 대한 연구)

  • Kim, Sung-Ryong;Yim, Seung-Won;Kim, Dae-Hoon;Lee, Sang-Hyup;Park, Joung-Man
    • Journal of Adhesion and Interface
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    • v.9 no.3
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    • pp.7-13
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    • 2008
  • The particulate type silicon carbide (SiC) and fiber type carbon fiber (CF) filler, of similar thermal conductivities, were mixed with polyetheretherketone (PEEK) to investigate the filler effects on the thermal diffusivity. The SiC and CF fillers had a good and uniform dispersion in PEEK matrix. Thermal diffusivities of PEEK composites were measured from ambient temperature up to $200^{\circ}C$ by laser flash method. The diffusivities were decreased as increasing temperature due to the phonon scattering between PEEK-filler and filler-filler interfaces. Thermal diffusivity of PEEK composites was increased with increasing filler content and the thermal conductivities of two-phase system were compared to the experimental results and it gave ideas on the filler dispersion, orientation, aspect ratio, and filler-filler interactions. Nielson equation gave a good prediction to the experimental results of PEEK/SiC. The easy network formation by CF was found to be substantially more effective than SiC and it gave a higher thermal diffusivities of PEEK/CF than PEEK/SiC.

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Prediction of Thermal Diffusivities of Pork Meat Products (축육 가공품의 열확산도 추정에 관한 연구)

  • 박철환;박상민;조현덕;한봉호
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.22 no.2
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    • pp.222-225
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    • 1993
  • To obtain a thermal diffusivity predicting equation for meat products, minced pork meat was mixed with some additives such as lard, isolated soybean protein, 1.5% of table salt and 2% of polyphosphate to control the composition and texture of the products and then stuffed in a model can. Heat penetration curves were measured in the temperature range of 80.76~121.03$^{\circ}C$ by using a thermocouple fixed at the cold point of the model can and the thermal diffusivities were calculated from the plotted heat penetration curves. At constant heating temperature, the thermal diffusivities of pork meat with water content of 49.01~77.55% increased linearly with increasing water content. The thermal diffusivities of the products with constant water content also increased linearly with increasing heating temperature and the values could be predicted by following equation: $\alpha$p=(2.1394+0.5X$_{w}$).$\alpha$$_{w}$+0.0035.10$^{-6}$ .X$_{w}$-0.2785.10$^{-6}$ ,(m$^2$.s$^{-1}$ ). The maximal difference of the values predicted with this equation on the basis of the practical measured values were less than 1.7%. 1.7%.

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A Non-linear Low-Reynolds-Number Heat Transfer Model for Turbulent Separated and Reattaching Flows (난류박리 및 재부착 유동에 대한 저레이놀즈수 비선형 열전달 모형의 개발)

  • Rhee, Gwang-Hoon;Sung, Hyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.316-323
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    • 2000
  • A nonlinear low-Reynolds-number heat transfer model is developed to predict turbulent flow and heat transfer in separated and reattaching flows. The $k-{\varepsilon}-f_{\mu}$ model of Park and Sung (1997) is extended to a nonlinear formulation, based on the nonlinear model of Gatski and Speziale (1993). The limiting near-wall behavior is resolved by solving the $f_{\mu}$ elliptic relaxation equation. An improved explicit algebraic heat transfer model is proposed, which is achieved by applying a matrix inversion. The scalar heat fluxes are not aligned with the mean temperature gradients in separated and reattaching flows; a full diffusivity tensor model is required. The near-wall asymptotic behavior is incorporated into the $f_{\lambda}$ function in conjunction with the $f_{\mu}$ elliptic relaxation equation. Predictions of the present model are cross-checked with existing measurements and DNS data. The model preformance is shown to be satisfactory.

Evaluation of Turbulent Flame Speed Model for Turbulent Premixed Combustion Flow around Bluff Body (보염기 주위의 난류 예혼합 연소에 관한 난류화염 속도 모델의 평가)

  • Park, Nam-Seob;Ko, Sang-Cheol
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.1
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    • pp.82-88
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    • 2011
  • The objective of this study is to investigate the validity of the dynamic sub-grid G-equation model to a complex turbulent premixed combustion such as bluff body stabilized turbulent premixed flames for the considering of the realistic engineering application. In this study, a new turbulent flame speed model, introduced by the sub-grid turbulent diffusivity and the flame thickness, is also proposed and is compared with an usual model using sub-grid turbulent intensity and with the experimental data. The calculated results can predict the velocity and temperature of the combustion flow in good agreement with the experiment data.

A Study of Hygroscopic Moisture Diffusion Analysis in Multimaterial System (이종 소재 접합체의 흡습 질량 확산 해석)

  • Kim, Yong-Yun
    • Journal of the Microelectronics and Packaging Society
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    • v.18 no.2
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    • pp.11-15
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    • 2011
  • Heat transfer equation is first reviewed and then governing equation of moisture diffusion. Analogy scheme is applied to analysis the moisture absorption problem of polymers. It make possible to numerically analyze the diffusion problem for single medium by using commercial finite element code if it is under the isothermal loading condition. It is extended to special multimaterial system by introducing pressure ratio function, whose moisture characteristics of materials are proportional to temperature only. The weight changes of silicon-nonconductive-polymer joint model due to moisture absorption is measured and been very close to the numerical results as for single media with boundary condition with zero concentration, but yields numerical errors as for multisystem media.

Performance Analysis of a Geothermal Heat Pump System Operated by a Diesel Engine (I) - Soil temperature prediction in Pusan and Chinju - (엔진구동 지열 열펌프의 성능 분석 (I) - 부산.진주지방 지중온도 예측 -)

  • 김영복
    • Journal of Biosystems Engineering
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    • v.23 no.2
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    • pp.135-146
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    • 1998
  • The equation to predict the soil temprature of Pusan and Chinju city as a function of time and soil depth for the geothermal energy utilization system and agriculture was devised. The equation was $T(x,t)\;=\;Tm\;-\;To{\cdot}ExP(-{\xi}){\cdot}cos{{\omega}{\cdot}[t-to-x/(2{\cdot}{\alpha}{\cdot}{\omega})^{0.5}]}$ with the soil thermal diffusivity, ${\alpha},\;of\;0.4\;\textrm{m}^2/day,\;0.0375\;\textrm{m}^2/day$ and phase zero point, to, of 24 days, 22.4 days in Pusan and Chinju city, respectively, during ten years from 1987 to 1996. The predicted and measured soil temperatures agreed well with the coefficient of determination of 0.95 at the soil depth of 0.0, 0.5, 1.0, 3.0, 5.0 m. The maximum and minimum temperature in Pusan 3.7, $30.1^{\circ}C$ at soil surface and 14.3, $18.0^{\circ}C$ at the depth of 5.0 m. The total mean temperature of soil in Pusan and Chinju city was about 16.3, $16.0^{\circ}C$, respectively.

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Evaluation of Moisture Sorption Characteristics in Polymer Material (고분자 소재에서 흡습 특성의 평가)

  • Park, Hee-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.11
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    • pp.1297-1303
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    • 2012
  • In this paper, the standard procedures for measuring the moisture sorption properties of thin polymeric materials such as polyethylene terephthalate (PET) by using the thermo-gravimetric method to characterize the moisture diffusion in the polymer are presented, and the sorption properties are quantified. The moisture diffusivity and solubility are characterized to investigate the effect of temperature and humidity on the moisture sorption properties according to the Arrhenius equation. The validation of the obtained sorption properties using thermogravimetry is discussed with the measured permeability based on Fickian diffusion. The nonlinear behavior of the concentration dependent moisture diffusion is investigated experimentally, and the nonlinearity is characterized numerically for the case of having an interface with an inorganic material such as a metal. The Fickian/Non-Fickian model based on the obtained moisture sorption properties is compared and discussed.

Effect of Cu Addition on Thermal Properties of Mg-6Zn-xCu alloys (Mg-6Zn-xCu 합금의 열적 특성에 미치는 Cu 첨가의 영향)

  • Ye, Dea-Hee;Kim, Hyun-Sik;Kang, Min-Cheol;Jeong, Hae-Yong
    • Journal of Korea Foundry Society
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    • v.35 no.4
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    • pp.67-74
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    • 2015
  • In this study, Mg-Zn alloys are investigated in terms of their thermal properties after an addition of Cu. Al element is added to improve the mechanical properties and castability in general case. However, it was excluded here because it significantly decreases the thermal conductivity. On the other hand, Zn was added as a major element, which had less influence on reducing the conductivity and can complement the mechanical properties as well. Cu was also added, and it improved the heat transfer characteristics as the amount was increased. The composition ranges of Zn and Cu are 6 wt.% and 0~1.5 wt.%, respectively. Mg-6Zn-xCu alloy was prepared by a gravity casting method using a steel mold and then the thermal conductivity and the microstructure of the as-cast material were investigated. By measuring the density_(${\rho}$), specific heat_(Cp) and thermal diffusivity_(${\alpha}$), the thermal conductivity_(${\lambda}$) was calculated by the equation ${\lambda}={\rho}{\cdot}Cp{\cdot}{\alpha}$. As the amount of Cu increased in the Mg-6Zn-xCu alloy, the heat transfer characteristics were improved, resulting in a synergistic effect which is slow when the added Cu exceeds 1 wt.%. In order to investigate the relative thermal conductivity/emission of the Mg-6Zn-xCu alloy, AZ91 and AZ31 were experimentally evaluated and compared using a separate test equipment. As a result, the Mg-6Zn-1.5Cu alloy when compared to AZ91 showed improvements in the thermal conductivity ranging from 30 to 60% with a nearly 20% improvement in the thermal emission.