• Title/Summary/Keyword: Fick's law

Search Result 94, Processing Time 0.025 seconds

Near-field Optical Lithography for High-aspect-ratio Patterning by Using Electric Field Enhanced Postexposure Baking (전기장이 적용된 노광후굽기 공정에 의한 고종횡비 근접장 광 리소그래피)

  • Kim, Seok;Jang, Jin-Hee;Kim, Yong-Woo;Jung, Ho-Won;Hahn, Jae-Won
    • Korean Journal of Optics and Photonics
    • /
    • v.21 no.6
    • /
    • pp.241-246
    • /
    • 2010
  • In this paper, we propose an electric field enhanced postexposure baking (EFE-PEB) method to obtain deep and high aspect ratio pattern profile in near-field recording. To describe the photoacid distribution under an external electric field during the PEB, we derived the governing equations based on Fick's second law of diffusion. From the results of the numerical calculations, it is found that the vertical movement of photoacid increases while the lateral movement is stationary as electric field varies from 0 to $8.0{\times}10^6\;V/m$. Also, it is proven that the profile of near-field recording is improved by using the EFE-PEB method with increased depth, higher aspect ratio and larger sidewall angle.

Prediction of Carbonation Progress for Concrete Structures Considering Change of Atmospheric Environment (대기환경변화를 고려한 콘크리트 구조물의 중성화 예측)

  • Lee, Chang-Soo;Yoon, In-Seok
    • Journal of the Korea Concrete Institute
    • /
    • v.15 no.4
    • /
    • pp.574-584
    • /
    • 2003
  • The most common deterioration cause of concrete structures in urban environment is carbonation. Recently, the $CO_2$ concentration and temperature at atmosphere is sharply increased with time due to global warming phenomena. In this study, the climate scenario IS92a, which was suggested by the IPCC, is used to consider temperature and atmospheric $CO_2$ concentration change in the model of service life prediction. The modified mathematical solution, which was based on the Fick's 1st law of diffusion, was used to reflect concrete materials properties such as the degree of hydration of concrete with elapsed time, and important parameters, which associated with deterioration rate. The techniques of service life prediction are developed introducing the method of reliability and stochastic concept to consider microclimatic condition in Seoul, South Korea. From the result of service life prediction, concrete containing high W/C ratio is shown fast carbonation rate due to $CO_2$ concentration increase. It is concluded that the deterioration of concrete structures due to carbonation is insignificant problem on the conditions that below W/C 55%, well curing concrete.

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

  • Lee, Won-Young;Choi, Yong-Hee
    • Korean Journal of Food Science and Technology
    • /
    • v.23 no.2
    • /
    • pp.217-223
    • /
    • 1991
  • A capillary method was used to evaluate the properties of mass transfer process and diffusion coefficients in the gel food. Amaranth dye was selected as a diffusant material to visualize the degree of diffusion procedure easily. After contacting cylinder containing agar gel with amaramth dye solution for some hours, the gel was cut to five segments by 0.5 cm in length. The diffusant concentration from the segments were measured by the spectrophotometer at 523 nm. Prediction models for the diffused quantities in gel food were established by the regression program of SPSS package program. Generally, diffusion coefficient can be calculated by Fick's second law, however, it will be determined by using numerical analysis method more easily. Finally the diffusion coefficients in this research were calculated by arithmetic mean of the measured values. As raising gel agent concentration, the mean diffusion coefficient tended to decrease because the obstruction effect came to become significant.

  • PDF

Oxygen Transport in Axisymmetric Thrombosed Aneurysm (혈전이 있는 축대칭 동맥류에서의 산소전달현상)

  • 김한일;태기식;김영호
    • Journal of Biomedical Engineering Research
    • /
    • v.23 no.4
    • /
    • pp.295-300
    • /
    • 2002
  • Localized hypoxia, due to the diminished $O_2$supply, is reported to cause necrosis of the arterial cell and to significantly decrease resistances to physiologic distending pressures. In the present study, in order to understand the mechanism of localized hypoxia which might result in the rupture of the aneurysm. $O_2$ transport phenomena across intraluminal thrombus in axisymmetric aneurysms under steady laminar flow condition were numerically analyzed using the Fick's law and the analogy with the fluid-solid heat transfer. For computational models, varying the thickness of intraluminal thrombus, numerical results showed that for the axisymmetric aneurysm with intraluminal thrombus. $O_2$ concentration became minimal at the aneurysm wall. With increased thickness of the intraluminal thrombus in the aneurysm. regions of low $O_2$ concentration were widely distributed near the aneurysm wall, which resulted in the possibility of localized hypoxia. The present study verifis that intraluminal thrombus influences $O_2$ transport to the aneurysm wall. depending on its size and structure.

Service Life Prediction and Cost Estimation of Repaired Concrete Structures Under Marine Environment (염해 환경 하 보수된 콘크리트 구조물의 사용수명 예측 및 보수 비용 평가)

  • Shim, Hyun Bo;Ann, Ki Yong
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.15 no.1
    • /
    • pp.226-234
    • /
    • 2011
  • The service life of concrete structures exposed to a marine environment can be extended by controlling the amount of chloride in cover concrete. Patching is one of the appropriate maintenance techniques for chloride contamination. Chloride-contaminated cover concrete is removed and replaced with sound one. It can provide less risk of corrosion of steel, so that the structure can be maintained for required service life. In this study, a quantitative assessment of the service life subjected to the chloride attack is proposed to determine the effective repair options such as repair depth, repair material and timing of repair. The Crank-Nicolson based finite difference formulation from Fick's second law is proposed to predict the profiles of chloride ion in a repaired concrete structure, considering ingress of chloride from outer and redistribution of residual chloride from the substrate concrete. Therefore, the repair application times and maintenance cost for the target service life can be estimated. Finally, the numerical examples are presented to ensure its applicability.

Migration of Low Molecular Weight Substances from Expanded Polystyrene Cup to Aqueous Food Simulant (발포 폴리스티렌 용기로부터 증류수로의 저분자물질 이행)

  • 이동선;송봉수;최진옥;박우포
    • Journal of the Korean Society of Food Science and Nutrition
    • /
    • v.33 no.6
    • /
    • pp.1056-1062
    • /
    • 2004
  • Migration of low molecular weight components from expanded polystyrene (ESP) to distilled water was measured at different temperature conditions. Overall migration and specific monomer migration were measured. Diffusion model based on Fick's law was used to determine the apparent diffusion coefficients at various experimental conditions. The overall and specific migration levels were estimated to give some practical implications for regulatory guideline development and safe package design. Diffusion coefficients for overall migration in KMnO$_4$ oxidizable extractives and specific migration of styrene monomer from ESP at 6$0^{\circ}C$ were 0.030 and 6.8${\times}$10$^{-5}$ $\textrm{mm}^2$/h, respectively. Their temperature dependence could be explained by Arrhenius equation with respective activation energies of 80.5 and 98.6 kJ/㏖. Experimental conditions ensuring desired migration level were suggested for reliable examination of migration from the packaging material. Some explanatory estimations of migrations were given for some typical conditions of potential usages.

Durability Analysis and Development of Probability-Based Carbonation Prediction Model in Concrete Structure (콘크리트 구조물의 확률론적 탄산화 예측 모델 개발 및 내구성 해석)

  • Jung, Hyunjun
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.30 no.4A
    • /
    • pp.343-352
    • /
    • 2010
  • Recently, many researchers have been carried out to estimate more controlled service life and long-term performance of carbonated concrete structures. Durability analysis and design based on probability have been induced to new concrete structures for design. This paper provides a carbonation prediction model based on the Fick's 1st law of diffusion using statistic data of carbonated concrete structures and the probabilistic analysis of the durability performance has been carried out by using a Bayes' theorem. The influence of concerned design parameters such as $CO_2$ diffusion coefficient, atmospheric $CO_2$ concentration, absorption quantity of $CO_2$ and the degree of hydration was investigated. Using a monitoring data, this model which was based on probabilistic approach was predicted a carbonation depth and a remaining service life at a variety of environmental concrete structures. Form the result, the application method using a realistic carbonation prediction model can be to estimate erosion-open-time, controlled durability and to determine a making decision for suitable repair and maintenance of carbonated concrete structures.

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.
    • Food Engineering Progress
    • /
    • v.14 no.4
    • /
    • 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.

Determination of Diffusion Coefficients of Boron from Borate Rods in Wood Using Boltzmann's Transformation

  • Ra, Jong-Bum
    • Journal of the Korean Wood Science and Technology
    • /
    • v.31 no.3
    • /
    • pp.24-29
    • /
    • 2003
  • This research was performed to investigate the diffusivity of borate rods in radiata pine (Pinus radiata D. Don) conditioned to 40 percent moisture content (MC). The deepest penetration of boron were observed in the longitudinal direction, followed by the radial and the tangential directions. The boron loading on the wood face adjacent to the borate rod tended to increase with diffusion time in all directions. To mathematically quantify boron diffusion, the diffusion coefficient of boron was determined using Boltzmann's transformation by assuming that it was a function of concentration only. The values of the longitudinal diffusion coefficients were between 1.3×10-8 cm2/sec and 9.2×10-8 cm2/sec. The radial diffusion coefficients were between 1.4×10-8 cm2/sec and 9.5×10-8 cm2/sec, and the tangential diffusion coefficients were between 5.2×10-9 cm2/sec and 1.3×10-8 cm2/sec. The differences of diffusion coefficients between the longitudinal direction and the radial direction were slight, although their concentration profiles were markedly different. This indicates that the amount of boron loading on the wood face adjacent the borate rod is one of the most important factor for boron penetration in wood with low MC.

Comparison of Test Methods for Evaluation of Chloride Diffusion Coefficient in Concrete (콘크리트의 염소이온 확산계수 평가를 위한 시험방법 비교)

  • Lee, Chan-Young;Kim, Hong-Sam;Kim, Jin-Cheol;Cheong, Hai-Moon;Ahn, Tae-Song
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2008.04a
    • /
    • pp.581-584
    • /
    • 2008
  • Generally, durability of concrete structures under marine environment is grossly declined by detrimental ions such as chlorides, which penetrate concrete and was diffused to corrode reinforcing rod. Therefore, chloride diffusion properties in concrete are important for durability evaluation and design of concrete structure. For estimation of chloride diffusion coefficient in concrete, both evaluation methods are used for steady state and non-steady state derived from Fick's 1st and 2nd law, respectively. However, as it is very difficult to evaluate diffusion coefficient for non-steady state like service environment where concrete is actually exposed, indirect evaluation method by laboratory accelerated test is generally used. In this study, comparison of chloride diffusion behavior was investigated for fixed mix proportion and age of concrete using four accelerated test methods based on domestic and foreign standards. From test results, only relative comparison between concrete mixtures was possible using ASTM C 1202 test, and diffusion coefficient for steady state was estimated as low as 1/10 of that for non-steady state. In addition, diffusion coefficient estimated by immersion test was similar to result by NT build 492 test.

  • PDF