• Title/Summary/Keyword: The law of diffusion

검색결과 231건 처리시간 0.034초

원판(圓板)의 열판건조(熱板乾燥)에서 컴퓨터 시뮬레이션에 의한 내부온도(內部溫度)와 함수율(含水率) 분포모형(分布模型) (Distribution Model Based on Computer Simulation for Internal Temperature and Moisture Content in Press Drying of Tree Disks)

  • 여환명;정희석
    • Journal of the Korean Wood Science and Technology
    • /
    • 제22권2호
    • /
    • pp.61-70
    • /
    • 1994
  • This study was executed to find the applicability of press drying of tree disk by investigating the shrinkage and drying defect and to form appropriate model by comparing the actual moisture content(MC) and internal temperature in respect of drying time with calculated values based computer simulation to which was applied finite difference method. In press drying disk, heating period, constant drying rate period maintained plateau temperature at 100$^{\circ}C$ and falling drying rate period were significantly distinguished. Actual MC and internal temperature were analogous to those calculated at comparing points. Heat transfer model formed by Fourier's law using specific heat of moist wood and conduction coefficient considering fractional volume of each element of wood cell wall, bound water, free water and air showed applicability as basic data to developing heat expansion, shrinkage and drying stress during press drying. Also mass transfer model formed by Fick's diffusion law using water vapor diffusion coefficient showed applicability. Longitudinal shrinkage was developed by pressure of hot press and tangential shrinkage was restrained by hygrothermal recovery. The heart check, surface check and ring failure were occurred differently in species, but V-shaped crack didn't develop.

  • PDF

Analysis of Time-Dependent Deformation of CFRP Considering the Anisotropy of Moisture Diffusion

  • Arao, Yoshihiko;Koyanagi, Jun;Hatta, Hiroshi;Kawada, Hiroyuki
    • Advanced Composite Materials
    • /
    • 제17권4호
    • /
    • pp.359-372
    • /
    • 2008
  • The moisture absorption behavior of carbon fiber-reinforced plastic (CFRP) and its effect on dimensional stability were examined. Moisture diffusivity in CFRP was determined by measuring a specimen's weight during the moisture absorption test. Three types of CFRP specimens were prepared: a unidirectionally reinforced laminate, a quasi-isotropic laminate and woven fabric. Each CFRP was processed into two geometries - a thin plate for determination of diffusivity and a rod with a square cross-section for the discussion of two-dimensional diffusion behavior. By solving Fick's law expanded to 3 dimensions, the diffusivities in the three orthogonal directions were obtained and analyzed in terms of the anisotropy of CFRP moisture diffusion. Coefficients of moisture expansion (CMEs) were also obtained from specimen deformation caused by moisture absorption. During moisture absorption, the specimen surfaces showed larger deformation near the edges due to the distribution of moisture contents. This deformation was reasonably predicted by the finite element analysis using experimentally determined diffusivities and CMEs. For unidirectional CFRP, the effect of the fiber alignment on CME was analyzed by micromechanical finite element analysis (FEA) and discussed.

Absorption of d-Limonene in Orange Juice into a Laminated Food Package Studied with a Solid Phase Micro-extraction Method

  • Lee, Hahn-Bit;Yang, Hee-Jae;Min, Sea-C.
    • 산업식품공학
    • /
    • 제14권4호
    • /
    • pp.354-358
    • /
    • 2010
  • The methods for determining the diffusion parameters for the diffusion of d-limonene, a major volatile compound of orange juice, through a multi-layered food packaging material and predicting its absorption into the packaging material have been investigated. The packaging material used was the 1.5-mm thick multi-layered packaging material composed of high impact polystyrene (HIPS), polyvinylidene chloride (PVDC), and low density polyethylene (LDPE). Orange juice was placed in a cell where volatiles were absorbed in the sample package and kept at $23{\pm}2^{\circ}C$ for 72 hr. The d-limonene absorbed in a 1.5-mm thick multi-layered food packaging material was analyzed by a solid phase micro-extraction (SPME). The absorption parameters for the absorption of d-limonene in the packaging material were determined and absorption of d-limonene into the packaging material was predicted using absorption storage data. The SPME desorption at $60^{\circ}C$ for 1 hr resulted in the most sensitive and reproducible results. The diffusion coefficients of d-limonene in the packaging material and the partition coefficient at $23{\pm}2^{\circ}C$ were approximately $1-2{\times}10^{12}m^2$/s and 0.03, respectively. The absorption profile no earlier than 30 hr was fit well by a model derived from the Fick's law.

Coupled diffusion of multi-component chemicals in non-saturated concrete

  • Damrongwiriyanupap, Nattapong;Li, Linyuan;Xi, Yunping
    • Computers and Concrete
    • /
    • 제11권3호
    • /
    • pp.201-222
    • /
    • 2013
  • A comprehensive simulation model for the transport process of fully coupled moisture and multi-species in non-saturated concrete structures is proposed. The governing equations of moisture and ion diffusion are formulated based on Fick's law and the Nernst-Planck equation, respectively. The governing equations are modified by explicitly including the coupling terms corresponding to the coupled mechanisms. The ionic interaction-induced electrostatic potential is described by electroneutrality condition. The model takes into account the two-way coupled effect of moisture diffusion and ion transport in concrete. The coupling parameters are evaluated based on the available experimental data and incorporated in the governing equations. Differing from previous researches, the material parameters related to moisture diffusion and ion transport in concrete are considered not to be constant numbers and characterized by the material models that account for the concrete mix design parameters and age of concrete. Then, the material models are included in the numerical analysis and the governing equations are solved by using finite element method. The numerical results obtained from the present model agree very well with available test data. Thus, the model can predict satisfactorily the ingress of deicing salts into non-saturated concrete.

Process Modeling and Optimization Studies in Drying of Current Transformers

  • Bhattacharya, Subhendu;D'Melo, Dawid;Chaudhari, Lokesh;Sharma, Ram Avatar;Swain, Sarojini
    • Transactions on Electrical and Electronic Materials
    • /
    • 제13권6호
    • /
    • pp.273-277
    • /
    • 2012
  • The vacuum drying process for drying of paper in current transformers was modeled with an aim to develop an understanding of the drying mechanism involved and also to predict the water collection rates. A molecular as well as macroscopic approach was adopted for the prediction of drying rate. Ficks law of diffusion was adopted for the prediction of drying rates at macroscopic levels. A steady state and dynamic mass transfer simulation was performed. The bulk diffusion coefficient was calculated using weight loss experiments. The accuracy of the solution was a strong function of the relation developed to determine the equilibrium moisture content. The actually observed diffusion constant was also important to predict the plant water removal rate. Thermo gravimetric studies helped in calculating the diffusion constant. In addition, simulation studies revealed the formation of perpetual moisture traps (loops) inside the CT. These loops can only be broken by changing the temperature or pressure of the system. The change in temperature or pressure changes the kinetic or potential energy of the effusing vapor resulting in breaking of the loop. The cycle was developed based on this mechanism. Additionally, simulation studies also revealed that the actual mechanism of moisture diffusion in CT's is by surface jumps initiated by surface diffusion balanced against the surrounding pressure. Every subsequent step in the cycle was to break such loops. The effect of change in drying time on the electrical properties of the insulation was also assessed. The measurement of capacitance at the rated voltage and one third of the rated voltage demonstrated that the capacitance change is within the acceptance limit. Hence, the new cycle does not affect the electrical performance of the CT.

나노크기 실리카를 사용한 반도체용 액상 에폭시 수지 성형재료의 흡습성질 (Moisture Absorption Properties of Liquid Type Epoxy Encapsulant with Nano-size Silica for Semiconductor Packaging Materials)

  • 김환건
    • 반도체디스플레이기술학회지
    • /
    • 제9권2호
    • /
    • pp.33-39
    • /
    • 2010
  • The moisture absorption properties such as diffusion coefficient and moisture content ratio of liquid type epoxy resin systems with the filler were investigated. Bisphenol A type and Bisphenol F type epoxy resin, Kayahard MCD as hardener and 2-methylimidazole as catalyst were used in these epoxy resin systems. The nano-sized spherical type fused silica as filler were used in order to study the moisture absorption properties of these liquid type epoxy encapsulant according to the change of filler size. The temperature of glass transition (Tg) of these epoxy resin systems was measured using Dynamic Scanning Calorimeter (DSC), and the moisture absorption properties of these epoxy resin systems according to the change of time were observed at $85^{\circ}C$ and 85% relative humidity condition using a thermo-hygrostat. The diffusion coefficients in these systems were calculated in terms of modified Crank equation based on Ficks' law. An increase of Tg and diffusion coefficient with filler size in these systems can be observed, which are attributed to the increase of free volume with Tg. The change of maximum moisture absorption ratio according to the filler size and filler content cannot be observed; however, the diffusion coefficients of these systems decreased with filler content. The diffusion via free volume is dominant in the epoxy resin systems with low nano-sized filler content; however, the diffusion with the interaction of absorption according the increase of the filler surface area is dominant in the liquid type epoxy encapsulant with high nano-sized filler content.

Diffusion coefficient estimation of Si vapor infiltration into porous graphite

  • Park, Jang-Sick
    • 한국진공학회:학술대회논문집
    • /
    • 한국진공학회 2015년도 제49회 하계 정기학술대회 초록집
    • /
    • pp.190.1-190.1
    • /
    • 2015
  • Graphite has excellent mechanical and physical properties. It is known to advanced materials and is used to materials for molds, thermal treatment of furnace, sinter of diamond and cemented carbide tool etc. SiC materials are coated on the surface and holes of graphite to protect particles emitted from porous graphite with 5%~20% porosity and make graphite hard surface. SiC materials have high durability and thermal stability. Thermal CVD method is widely used to manufacture SiC thin films but high cost of machine investment and production are required. SiC thin films manufactured by Si reaction liquid and vapore with carbon are effective because of low cost of machine and production. SiC thin films made by vapor silicon infiltration into porous graphite can be obtained for shorter time than liquid silicon. Si materials are evaporated to the graphite surface in about $10^{-2}$ torr and high temperature. Si materials are melted in $1410^{\circ}C$. Si vapor is infiltrated into the surface hole of porous graphite and $Si_xC_y$ compound is made. $Si_x$ component is proportional to the Si vapor concentration. Si diffusion coefficient is estimated from quadratic equation obtained by Fick's second law. The steady stae is assumed. Si concentration variation for the depth from graphite surface is fitted to quadratic equation. Diffusion coefficient of Si vapor is estimated at about $10^{-8}cm^2s^{-1}$.

  • PDF

겔 식품의 물질전달공정 중 확산량 예측모델 및 확산계수 (Diffused Quantity Prediction Model and Diffusion Coefficient of Gel Food in the Mass Transfer Process)

  • 이원영;최용희
    • 한국식품과학회지
    • /
    • 제23권2호
    • /
    • pp.217-223
    • /
    • 1991
  • Gel식품의 구조적 특성을 밝히는 일은 특수한 장치나 분석방법이 요구되어 왔으나 본 연구에서는 조작이 간편하고 확산식에 잘 맞는 농도의 해를 구할 수 있는 capillary method를 통해 확산량과 확산계수를 예측하였다. 확산량은 거리, 시간, agar% 농도를 독립변수로 하여 도시하고 추정된 몇 가지 함수식으로부터 SPSS 통계 package 중 regression program을 이용해 단순회귀시켜 R-square가 가장 높은 식을 채택하고 다시 각 독립변수에 대한 함수식을 이용해 다중회귀분석을 실시함으로써 최종 model식을 수립하였다. 기존의 확산계수 예측방법은 Fick의 제 2법칙의 해식으로부터 예측되는 것이 일반적이었으나 그 식이 난해하고 시간이 많이 걸려 본 연구에서는 좀 더 간편한 방법으로 확산계수를 구하고자 수치해석적 방법에 따라 확산계수를 예측하였으며 그 산술평균을 확산계수 D값으로 나타내었다.

  • PDF

대칭형 다공성 매질의 확산주도 영역에 관한 1차 물질이동 방정식 (First-Order Mass Transfer in a Diffusion-Dominated (Immobile) Zone of an Axisymmetric Pore: Semi-Analytic Solution and Its Limitations)

  • 김영우;강기준;조정호
    • 한국산학기술학회논문지
    • /
    • 제11권11호
    • /
    • pp.4664-4670
    • /
    • 2010
  • 본 연구에서는 기존 MIM Zone model과 새로이 유도한 모델과 비교를 통해 몇가지 결론을 도출하였다. MIM model 이 적용되면 immobile 영역에서의 초기농도는 기공의 형태에 의해 달라지는 보정계수에 의해 실제농도보다 저평가되었으며 이는 오직 확산이 기공의 가장 깊은 부분까지 시행된 이후에 유효함을 확인하였다. 물질이동계수, $\alpha$는 기공의 깊이에 따라 반비례하며, 유동 구역의 유속에는 종속되어지지 않는다. 기존의 MIM model 은 확산주도영역의 농도가 급속하게 감소하는 현상을 보여주는데 새로이 유도된 모델의 경우도 충분한 시간이 경과한후 비슷한 현상을 보였으며 이는 기존의 여러 실험에서 관찰된 power-law BTC 의 상반되는 결과를 보여준다.

중성화와 염해를 고려한 콘크리트의 복합열화 예측 (Prediction of Deterioration Process for Concrete Considering Combined Deterioration of Carbonation and Chlorides Ion)

  • 이창수;윤인석
    • 콘크리트학회논문집
    • /
    • 제15권6호
    • /
    • pp.902-912
    • /
    • 2003
  • 전 세계적으로 콘크리트 구조물의 열화를 발생하는 가장 중요한 원인은 중성화와 염소이온이다. 대체적으로 많은 콘크리트 구조물에서 염소이온과 중성화로 인하여 철근이 부식되며 이에 대한 많은 연구가 이루어지고 있다. 그러나 실구조물의 상황은 염소이온과 중성화가 복합적으로 발생함에도 불구하고 많은 연구들이 각각의 단일열화에 대한 연구가 이루어지고 있으며 복합열화에 대한 연구는 매우 드문 상황이다. 본 연구는 2중 복합 매체에 대한 확산모델을 이용하여 중성화된 콘크리트의 염소이온 프로파일을 예측하고자 하였다. 실험결과에 의하여 중성화 깊이로부터 3∼5 mm영역에 염소이온의 농축현상이 발생하였으며 2중 복합 구조체에 적용할 수 있는 확산 방정식에 중성화된 콘크리트와 비중성화된 콘크리트의 시간의존적인 염소이온 확산 계수를 고려하여 내구수명예측에 반영하였다.