• Title/Summary/Keyword: fick's second law

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A new approach for predicting sulfate ion concentration in concrete

  • Mohammad Ghanooni-Bagha;Mohsen Ali Shayanfar;Sajad Momen
    • Computers and Concrete
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    • v.33 no.1
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    • pp.1-11
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    • 2024
  • Aggressive environmental conditions, and especially the acidic effects of sulfate ion penetration, have reduced the lifetime of concrete structures in some areas, especially coastal and marine areas. In this research, at first, samples made of type II and V cement were kept in a solution of magnesium sulfate (MgSO4) for a period of 90 and 180 days, the change of appearance. Field Emission Scanning Electron Microscopy (FE-SEM) and X-Ray Diffraction (XRD), were used to analyze the microstructure and the complex mineral composition of the concrete after exposure to corrosive environments. Then solving the differential equation governing the sulfate ion penetration, which is based on the second Fick law, it has been tried to determine the concentration of sulfate ions inside the concrete. In the following, an attempt has been made to improve the prediction of sulfate ion concentration in concrete by using Crank's penetration equation. At the same time, the coefficient in the Crank's solution have been optimized by using the Particle Swarm Optimization (PSO algorithm). The comparison between the results shows that the values obtained from Crank's relation are closer to the experimental results than the equation obtained from Fick's second law and shows a more accurate prediction.

Health prognostics of stator Windings in Water-Cooled Generator using Fick's second law (Fick's second law 를 이용한 수냉식 발전기 고정자 권선의 건전성 예지)

  • Youn, Byeng D.;Jang, Beom-Chan;Kim, Hee-Soo;Bae, Yong-Chae
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.533-538
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    • 2014
  • Power generator is one of the most important component of electricity generation system to convert mechanical energy to electrical energy. I t designed robustly to maintain high system reliability during operation time. But unexpected failure of the power generator could happen and it cause huge amount of economic and social loss. To keep it from unexpected failure, health prognostics should be carried out In this research, We developed a health prognostic method of stator windings in power generator with statistical data analysis and degradation modeling against water absorption. We divided whole 42 windings into two groups, absorption suspected group and normal group. We built a degradation model of absorption suspected winding using Fick's second law to predict upcoming absorption data. Through the analysis of data of normal group, we could figure out the distribution of data of normal windings. After that, we can properly predict absorption data of normal windings. With data prediction of two groups, we derived upcoming Directional Mahalanobis Distance (DMD) of absorption suspected winding and time vs DMD curve. Finally we drew the probability distribution of Remaining Useful Life of absorption suspected windings.

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Diffusion of Cr(VI) in Porous Media (심층 지하에서의 육가 크롬 확산)

  • 현재혁
    • The Journal of Engineering Geology
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    • v.3 no.2
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    • pp.203-214
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    • 1993
  • Underground Injection Control regulations for Class I injection wells require that the vertical dufusion be considered as a mechanism for transport of contaninants in evaluating containment Due to the low permeability in the confining aquitard, the movement of contaminants over the long term is controlled by the molecular diffusion. The movement can be predicted, using the Fick' S second law of diffusion. The diffusion coefficient in Fick' s law has been determined experimentally in this study. Instantaneous injection of $^{51}Cr$ was used to trace the distribution of Cr(VI) in soil plugs and an analytical solution was applied to calculate the diffusion coefficients. This study shows the effect of environmental factors, such as temperature, chloride concentration, applied amount of $^{51}Cr$, and bulk density of injection formations on diffusion of Cr(VI)

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SiC composite formed by Si vapor diffusion into porous graphite (다공질 그래파이트내부로 Si 증발입자 확산에 의해 형성되는 SiC 복합재료)

  • Park, Jang-Sick
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2015.11a
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    • pp.167-167
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    • 2015
  • SiC thin films made by vapor silicon infiltration into porous graphite can be obtained for shorter time than liquid silicon. Si diffusion coefficient is estimated by comparing experiment results with quadratic equation obtained by Fick's second law.

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A Study on the Service Life Prediction of Reinforced Concrete Structures with Chloride Penetration (철근콘크리트 구조물의 염해에 의한 사용수명 예측에 관한 연구)

  • Kim Dong-Baek;Kwon Ki-Jun;Park Byung-Wook
    • Journal of the Korean Society of Safety
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    • v.20 no.2 s.70
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    • pp.113-118
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    • 2005
  • Recently, the corrosion of reinforced concrete structures has received great attention related with the deterioration of sea-side structures, such as new airport, bridges, and nuclear power plants. In this regards, many studies have been done on the chloride attack in concrete structures. The purpose of the present study is to explore the influences of chloride attack parameters to service life of reinforced concrete structures and to propose the rational program for the guarantee of service life. for this purpose, several codes for durability design have been examined and the diffusion analysis based on Fick's second law has been performed with various parameter value. The present study indicates that durability design code of Japan Society of Civil Engineers is more rational than other codes but the application of durability design code of JSCE to domestic durability design needs more studies to the various parameter values related with chloride penetration.

Analysis of Concentration Distribution and Diffusion Depth in Tinted Lenses Using the Law of Diffusion (확산법칙을 이용한 착색렌즈에서의 농도분포와 확산깊이의 분석)

  • Choi, Eun Jung;Lee, Sin Ui
    • Journal of Korean Ophthalmic Optics Society
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    • v.16 no.4
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    • pp.403-408
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    • 2011
  • Purpose: To study the concentration distribution and diffusion depth in tinted lenses using the law of diffusion. Methods: The measured values taken from experiments were fitted with the theoretical fitting curve induced on the basis of Fick's second law of diffusion. Results: The fitting curves were in very good agreement with the measured values. As the results, we found the quantitative relationship between mass of dye solution diffused into the tinted lens per unit area and dyeing time, and evaluated concentration distribution of dye in tinted lens, diffusion depth, etc. Conclusions: The dyeing mechanism of tinted lenses can be well described by diffusion theory.

Kinetic Modeling of Dewatering of Potato Slice When Soaked in Concentrated Solution (고농도 용액에 침지시 감자 절편의 동력학적 탈수 모델링에 관한 연구)

  • 최동원;신해헌
    • The Korean Journal of Food And Nutrition
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    • v.13 no.5
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    • pp.477-482
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    • 2000
  • For the purpose of explaining the dewatering phenomena of potato slice soaked in concentrated solution three models were proposed. Earlier model cannot explain the dewatering phenomena of potato slice in concentrated solution because of limiting its condition which is necessary to build a model. Therefore other three models were suggested and a model based on Fick\`s second law of mass transport at infinite plate conditions and numerical analysis was test model for explaining dewatering phenomena of potato soaked in concentrated solution. Apparent diffusion coefficient of water could be readily estimated from model III, and it could explain adequately the difference of the dewatering phenomena of various soaking conditions.

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Application of Laser Beam Deflection Technique to Analysis of Stresses Generated during Hydrogen Diffusion through Pd Foil Electrode

  • Han Jeong-Nam;Pyun Su-Il
    • Journal of the Korean Electrochemical Society
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    • v.4 no.2
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    • pp.70-76
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    • 2001
  • The present work describes the capabilities of laser beam deflection (LBD) technique for the analysis of the stresses developed during hydrogen diffusion through Pd foil electrode. First, we explain briefly the elasto-diffusive (Gorsky effect) and diffusion-elastic phenomena. A model for the diffusion-elastic phenomenon is theoretically derived from the solution of the Fick's equation for given initial and boundary conditions, Vegard's second law and Hooke's law. Second, we introduce how to apply the principle of LBD technique to the study on the stresses generated during hydrogen diffusion. From the comparison of the deflection transients numerically calculated with those experimentally measured, we finally discuss the change in the tensile deflection with time in terms of hydrogen concentration profile transient and hydrogen diffusivity.

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.

Steady-State and Transient Response Analysis of DSSC Based on Electron Diffusion Coefficient and Chemical Capacitance

  • J. C. Gallegos;J. Manriquez;R. Rodriguez;S. Vargas;D. Rangel
    • Journal of Electrochemical Science and Technology
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    • v.15 no.2
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    • pp.276-290
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    • 2024
  • A study of the transition from transitory state to steady state in DSSCs based on natural dyes is presented; cochineal was used as dye and Li+, Na+, and K+ were the ions added to the electrolyte. The photocurrent profiles were obtained as a function of time. Several DSSCs were prepared with different cations and their role and the transitory-to-steady transition was determined. A novel hybrid charge carrier source model based on the Heaviside function H(t) and the Lambert-Beer law, was developed and applied to analysis of the transient response of the output photocurrent. Additionally, the maximum effective light absorption coefficient α and the electronic extraction rate κ for each ion were determined: ${\alpha}_{Li^+,Na^+,K^+}\,=\,(0.486,\,0.00085,\,0.1126)\,cm^{-1}$, and also the electronic extraction rate ${\kappa}^{Li^+,Na^+,K^+}_{ext.}\,=\,(1410,\,19.07,\,19.69)\,cm\,s^{-1}$. The impedance model using Fick's second law was developed for carrier recombination to characterize the photocurrent.