• Title/Summary/Keyword: Fick의 2법칙

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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
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    • 2008.04a
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    • pp.581-584
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    • 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.

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

  • Lee, Chang-Soo;Yoon, In-Seok
    • Journal of the Korea Concrete Institute
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    • v.15 no.6
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    • pp.902-912
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    • 2003
  • The most common deteriorating processes of concrete structures are carbonation and chloride ion ingress. Many concrete structures have been suffered from chloride ions diffusion or carbonation induced reinforcement corrosion damage and many studies have been done on it. However, those studies were confined mostly to the single deterioration of carbonation or chloride attack only, although actual environment is rather of combined conditions. In case of many in-situ concrete structures, deterioration happened more for the case of combined attack than the single case of carbonation or chloride attack. In this paper, chloride profiles of carbonated concrete is predicted by considering two layer composite model, which is based on Fick's 2nd law. From the experimental result on combined deterioration of chloride and carbonation, it was examined that high chloride concentration was built up to 3∼5 mm over depth from carbonation depth. The analytical modeling of chloride diffusion was suggested to depict the relative influence of the carbonation depth. The diffusion coefficients of carbonation concrete and uncarbonated concrete with elapsed time were considered in this modeling.

Service Life Evaluation through Probabilistic Method Considering Time-Dependent Chloride Behavior (염해 시간의존성을 고려한 확률론적 내구수명 평가)

  • Kwon, Seung-Jun
    • Journal of the Korea Concrete Institute
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    • v.28 no.2
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    • pp.149-156
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    • 2016
  • The service life in RC (Reinforced Concrete) is very important and it is usually obtained through deterministic method based on Fick's 2nd law and probabilistic method. This paper presents an evaluation of $P_{df}$(durability failure probability) and the related service life considering time-dependent behaviors in chloride diffusion and surface chloride content. For the work, field investigation is performed for RC structures exposed to chloride attack for 3.5~4.5years, focusing tidal zone (6.0 m) and sea shore (9.0 m), respectively. Random variables like cover depth, chloride diffusion coefficient, and surface chloride content are obtained, and $P_{df}$ and the service life are evaluated. Unlike the results from deterministic method using LIFE 365, probabilistic method with time effects on diffusion and surface chloride shows a relatively rapid change in the result, which is a significant reductions of service life in the case with low surface chloride content. For probabilistic evaluation of durability, high surface chloride content over $10.0kg/m^3$ is required and reasonable service life can be derived with consideration of time-dependent diffusion coefficient.

Analytical Deterioration Modelling for Recarbontion of Repaired Concrete (보수된 콘크리트의 재탄산화 열화에 대한 분석적 모델)

  • Do, Jeong-Yun;Kim, Doo-Kie;Song, Hun;Jo, Young-Kug
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.217-218
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    • 2010
  • This study presented the analytical evaluation model effective in the concrete structure repaired with a patching material. The model considered the effect of the repair material on carbon dioxide penetration into the repaired concrete as evaluating the remaining service life of the CO2-deteriorated concrete structure after repair. The diffusion profiles of carbon dioxide as well as the carbonated concrete were effectively able to be modelled with analytical method based on Fick's 1st diffusion law.

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A Proposal to Growth Model of $\textrm{NH}_3$/$\textrm{O}_2$ Oxidation with species of $\textrm{O}_2$ and $\textrm{H}_2\textrm{O}$ ($\textrm{O}_2$$\textrm{H}_2\textrm{O}$를 산화제로 하는 $\textrm{NH}_3$/$\textrm{O}_2$산화의 성장모델 제안)

  • Kim, Yeong-Jo
    • Korean Journal of Materials Research
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    • v.9 no.9
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    • pp.932-936
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    • 1999
  • 4NH(sub)3+$3O_2$$\longrightarrow$$2N_2$+$6H_2$O 의 화학반응식을 가지며$ O_2$$H_2$O를 산화제로 하는 $NH_3$/$O_2$산화의 성장모델을 세웠으며, 그 결과 Fick의 제 1 법칙을 기초로 하는 건식 및 습식 산화메카니즘으로 이해되는 Deal-Grove의 산화막 성장모델과 유사한 결과가 도출되었다. 이 성장모델에 의하면 산화제$ O_2$$H_2$O가 상호보완적으로 산화에 영향을 미치므로 산화온도 뿐 아니라 $NH_3$/O$_2$의 유량비도 산화율을 결정한다. rapid thermal processing(RTP)에 의한 산화막 성장실험으로 본 연구에서 제안하는 성장모델을 확인하였으며, NH$_3$분자의 분해에 의해 발생하는 N 원자의 산화막 내부확산을 secondary ion mass spectroscopy(SIMS)로 확인하였으며, Auger electron spectroscopy (AES) 측정결과 N 원자의 존재는 무시할만한 수준이었다.

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

  • 김한일;태기식;김영호
    • Journal of Biomedical Engineering Research
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    • v.23 no.4
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    • pp.295-300
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    • 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.

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
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    • v.30 no.4A
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    • pp.343-352
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    • 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.

Prognostics for Stator Windings of Water-Cooled Generator Against Water Absorption (수냉식 발전기 고정자 권선의 흡습 건전성 예지)

  • Jang, Beom Chan;Youn, Byeng D.;Kim, Hee Soo;Bae, Yong Chae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.6
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    • pp.625-629
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    • 2015
  • In this study, we develop a prognostic method of assessing the stator windings of power generators against water absorption through statistical data analysis and degradation modeling. The 42 windings of the generator are divided into two groups: the absorption and normal groups. A degradation model of a winding is constructed using Fick's second law to predict the level of absorption. By analyzing data from the normal group, we can determine the distribution of the data of normal windings. The health index of a winding is estimated using the directional Mahalanobis distance (DMD) method. Finally, the probability distributions of the failure time of the windings are determined.

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
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    • v.33 no.6
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    • pp.1056-1062
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    • 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.

Oxygen Diffusion According to the Fitting Conditions of Contact Lens (콘택트렌즈의 피팅조건에 따른 산소확산)

  • Kim, Dae Soo
    • Journal of Korean Ophthalmic Optics Society
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    • v.13 no.3
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    • pp.35-43
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    • 2008
  • Purpose: This review article was written to investigate how the various factors, such as lacrimal thickness, CL's thickness and Dk, affects the influx of $O_2$ diffusion into the cornea. Methods: A mathematical model was proposed to analyze the oxygen diffusion reaching the cornea through the tear layers and contact lens based on Fick's law and the principle of continuity of the diffusion flux through the each layers. Results: The model predicts how the parameters such as the thickness of tear layer on the cornea, both the Dk and thickness of contact lenses etc., affect the oxygen tension at cornea and oxygen flux entering the cornea. Conclusions: It is found that either too flat or too tightly fitted contact lenses can cause the oxygen deficiency at/inside the periphery of the cornea because of the reduction of oxygen flux resulted from too thickened tear layer.

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