• Title/Summary/Keyword: Diffusion behaviors

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Simulation of Vacuum Characteristics in Semiconductor Processing Vacuum System by the Combination of Vacuum Pumps (진공펌프 조합에 의한 반도체공정 진공시스템 진공특성 전산모사)

  • Kim, Hyung-Taek;Kim, Dae-Yeon
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.24 no.6
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    • pp.449-457
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    • 2011
  • Effect of pump combinations on the vacuum characteristics of vacuum system was simulated for optimum design of system. In this investigation, the feasibility of modelling mechanism for VacSimMulti simulator was proposed. Simulation results of various pumping combinations showed the possibilities and reliabilities of simulation for the performance of vacuum system in specific semiconductor processing. Simulation of roughing pump presented the expected pumping behaviors based on commercial specifications of employed pumps. Application of booster pump exhibited the high pumping efficiency for middle vacuum range. Combinations of optimum backing pump for diffusion and turbo vacuum system were obtained. And, the predictable characteristics of process application of both simulated systems were also acquired.

The theoretical Model for predicting the behaviors of the frost formation (착상 거동예측을 위한 이론적 모델)

  • Lee, Gwan-Su;Lee, Tae-Hui;Heo, Jeong-Hei
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.3
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    • pp.1096-1105
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    • 1996
  • A theoretical model of the frost formation has been presented to investigate the characteristics of the growth of frost layer by considering molecular diffusion of water vapor and heat generation caused by sublimation of water vapor in the frost layer. The present model was compared with existing experimental data as well as a previous model. The difference between the present model and existing experimental data was found to be about 6 percent. An analysis for the behavior of frost formation using present model shows a good agreement with the trend for a number of experimentally observed features. The present analysis can also provide the physical understanding on the phenomena of the frost formation.

Study of Diffusion Controlled Reactions in Liquids: A Perturbation Series Solution and a Numerical Solution of the Smoluchowski Equations

  • Mino Yang;Sangyoub Lee;Kim Yung Sik;Kook Joe Shin
    • Bulletin of the Korean Chemical Society
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    • v.10 no.6
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    • pp.529-535
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    • 1989
  • A general perturbation series solution of the Smoluchowski equation is applied to investigate the rate of recombination and the remaining probability of a pair of particles in liquids. The radiative boundary condition is employed and the convergence of the perturbation series is analyzed in terms of a convergene factor in time domain. The upper bound to the error introduced by the n-th order perturbation scheme is also evaluated. The long time behaviors of the rate of recombination and the remaining probability are found to be expressed in closed forms if the perturbation series is convergent. A new and efficient method of purely numerical integration of the Smoluchowski equation is proposed and its results are compared with those obtained by the perturbation method. For the two cases where the interaction between the particles is given by (i) the Coulomb potential and (ii) the shielded Coulomb potential, the agreement between the two results is found to be excellent.

Response of angle-ply laminated cylindrical shells with surface-bonded piezoelectric layers

  • Wang, Haojie;Yan, Wei;Li, Chunyang
    • Structural Engineering and Mechanics
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    • v.76 no.5
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    • pp.599-611
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    • 2020
  • A state-space method is developed to investigate the time-dependent behaviors of an angle-ply cylindrical shell in cylindrical bending with surface-bonded piezoelectric layers. Both the interfacial diffusion and sliding are considered to describe the properties of the imperfect interfaces. Particularly, a matrix reduction technique is adopted to establish the transfer relations between the elastic and piezoelectric layers of the laminated shell. Very different from our previous paper, in which an approximate numerical technique, i.e. power series expansion method, is used to deal with the time-dependent problems, the exact solutions are derived in the present analysis based on the piezoelasticity equations without any assumptions. Numerical results are finally obtained and the effects of imperfect interfaces on the electro-mechanical responses of the laminated shell are discussed.

THE PRICING OF VULNERABLE FOREIGN EXCHANGE OPTIONS UNDER A MULTISCALE STOCHASTIC VOLATILITY MODEL

  • MIJIN HA;DONGHYUN KIM;JI-HUN YOON
    • Journal of applied mathematics & informatics
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    • v.41 no.1
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    • pp.33-50
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    • 2023
  • Foreign exchange options are derivative financial instruments that can exchange one currency for another at a prescribed exchange rate on a specified date. In this study, we examine the analytic formulas for vulnerable foreign exchange options based on multi-scale stochastic volatility driven by two diffusion processes: a fast mean-reverting process and a slow mean-reverting process. In particular, we take advantage of the asymptotic analysis and the technique of the Mellin transform on the partial differential equation (PDE) with respect to the option price, to derive approximated prices that are combined with a leading order price and two correction term prices. To verify the price accuracy of the approximated solutions, we utilize the Monte Carlo method. Furthermore, in the numerical experiments, we investigate the behaviors of the vulnerable foreign exchange options prices in terms of model parameters and the sensitivities of the stochastic volatility factors to the option price.

A Study on the Wear Characteristics of Aluminizing Steel ( 1 ) - Wear in Run-in Period on Rolling-Sliding Contact - (알루미나이징 강의 마모특성에 관한 연구 ( 1 ) - Rolling-Sliding 마찰의 초기마모영역을 중심으로 -)

  • 이규용
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.14 no.2
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    • pp.69-78
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    • 1978
  • It is well known that the aluminizing steel is excellent in corrosion resistance and heat resistance. Therefore it has been used as boiler parts, heat exchanger parts and guide rails which are used under comparatively simple conditions. Recently, it has been noticed that aluminizing steel has high resistance to various atmosphere, high temperature oxidation and seawater resistance. So its usage has been extended widely to the production of parts such as intake and exhaust valve of internal combustion engine, turbine blade and pipelines On ships which required such properties. It is considered that aluminium coated steel is excellent in wear resistance because of high hardness on main ingredient FezAIs of Fe-AI alloy layer existed in diffusion coating layer. And it will beused as a new material taking wear resitance with seawater resistance in marine field. However it is difficult to findout any report concering the wear behaviors or properties of alum in izing steel. In this study the experiment was carried out under the condition of rolling-sliding contact using an Amsler-type wear testing machine at 0.80, 0.91, 1. 10, 1. 25% of slip ratio and 55.43, 78.38, 110.85 kg/mm^2 of Hertz's contact stress in run-in period for the purpose of service-ability test of aluminizing steel as a wear resisting material and obtaining the available design data. The followings are the obtained results from the experimen tal study; 1) The 2nd diffusion material has most excellent wear resistance. This material has brought out about 18% decrease of wear weight in a lower friction load level and 40~G decrease in a higher level comparing to the raw material. 2) Satisfactory effect of wear resistivity cannot be much expected in 2nd diffusion specimens. This is considered due to the formation of fine void in the alloy layer near the boundary to the aluminium layer. 3) Fracture on friction surface of aluminizing steel by the rolling-sliding contact is spalling, and spalling crack occurres initially beneath the specimen surface near the boundary in diffusion coating layer.

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A Study on Electrochemical Behaviors of Samarium Ions in the Molten LiCl-KCl Eutectic Using Optically Transparent Electrode (LiCl-KCl 용융염에서 광학적으로 투명한 전극을 이용한 사마륨 이온의 전기화학적 거동에 관한 연구)

  • Lee, Ae-Ri;Park, Byung Gi
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.15 no.4
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    • pp.313-320
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    • 2017
  • A spectroelectrochemical method has been applied to investigate the electrochemical behaviors and identify the kinds of samarium ions dissolved in high temperature molten LiCl-KCl eutectic. An optically transparent electrode (OTE) fabricated with a tungsten gauze as a working electrode has been used to conduct cyclic voltammetry and potential step chronoabsorptometry. Based on the reversibility of the redox reaction of $Sm^{3+}/Sm^{2+}$, which was determined from the cyclic voltammograms, the formal potential and the diffusion coefficient were calculated to be -1.99 V vs. $Cl_2/Cl^-$ and $2.53{\times}10^{-6}cm^2{\cdot}s^{-1}$, respectively. From the chronoabsorptometry results at the applied potential of -1.5 V vs. Ag/AgCl (1wt%), the characteristic peaks of absorption for samarium ions were determined to be 408.08 nm for $Sm^{3+}$ and 545.62 nm for $Sm^{2+}$. Potential step chronoabsorptometry was conducted using the anodic and the cathodic peak potentials from the voltammograms. Absorbance analysis at 545.63 nm shows that the diffusion coefficient of $Sm^{3+}$ is $2.15{\times}10^{-6}cm^2{\cdot}s^{-1}$, which is comparable to the value determined by cyclic voltammetry at the same temperature.

Behaviors of Premixed Flames and Triple Flames with its Concentration Difference in a Slot Burner (슬롯버너에서 농도차이에 따른 예혼합화염과 삼지화염의 거동)

  • Kim, Tae-Kwon;Jang, Jun-Young;Park, Jeong;Jun, Seong-Hwa;Miwa, Kei
    • 한국연소학회:학술대회논문집
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    • 2004.11a
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    • pp.85-90
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    • 2004
  • We have presented characteristics of a transitional behavior from a premixed flame to a triple flame in a lifted flame according to the change of equivalence ratio. The experimental apparatus consisted of a slot burner and a contraction nozzle for a lifted flame. As concentration difference of the both side of slot burner increases, the shape of flame changed from a premixed flame to a triple flame, and the liftoff height is decreased to the minimum value and then increase again. Around this minimum point, it is confirmed a transition regime from premixed flame to triple flame. Consequently, the experimental results of the liftoff height, flame curvature and luminescence intensity showed that the stabilized laminar lifted flame regime is categorized by regimes of premixed flame, triple flame and critical flame. In the visualization experiment of smoke wire, the flow divergence and redirection reappeared in premixed flame as well as triple flame. Thus we cannot express the flame front of lifted flame has a behavior of triple flame with only flow divergence and redirection. To differentiate triple flame and premixed flame, ${\Phi}$ value of partially premixed fraction is employed. The partially premixed fraction ${\Phi}$ was constant in premixed flame. In critical flame small gradient appears over the whole regime. In triple flame, typical diffusion flame shape is obtained as parabolic distribution type due to diffusion flame trailing.

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Performance of cement concrete pavement incorporating mineral admixtures (광물질혼화재를 적용한 시멘트콘크리트 포장의 성능 평가)

  • Lee, Seung-Tae;Lee, Da-Hyun;Lee, Jae-Jun
    • International Journal of Highway Engineering
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    • v.12 no.3
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    • pp.113-119
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    • 2010
  • This study presents experimental findings on the performance of cement concrete pavement incorporating mineral admixtures such as ground granulated blastfurnace slag and silica fume. Flexural strength, compressive strength, charge passed, diffusion coefficient of chloride ions and initial surface absorption of cement concrete pavement incorporating mineral admixtures were periodically measured and the corresponding results were compared to those of plain concrete pavement. As a result, strength behaviors of concrete pavement were dependent on the types of mineral admixtures. However, it was true that incorporation of silica fume had a beneficial effect on compressive strength development. Furthermore, the application of mineral admixtures led to a lower diffusion coefficient of chloride ions compared to plain concrete pavement. Based on the experimental results, the present study would be helpful to design high-performance cement concrete pavement.

A Study Effect of Mixed Solvents on the Retention of Polystyrenes Using Thermal Field-Flow Fractionation (열장 흐름 분획법에 의한 폴리스티렌의 머무름에 미치는 혼합용매의 영향에 관한 연구)

  • Lee, Dai-Woon;Jeon, Sun-Joo;Park, Won-Choul
    • Analytical Science and Technology
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    • v.6 no.5
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    • pp.453-462
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    • 1993
  • The retention behaviors of polystyrenes influenced by mixed solvents are examined in thermal field-flow fractionation(ThFFF). Experimental data are obtained with polystyrene samples of molecular weights of 35,000, 110,000, 200,000 and 470,000 dissolved in organic solvents. The pure and mixed solvents are tetrahydrofuran(THF), chloroform(CHL), cyclohexane(CH), and benzene(BZ), respectively. The values of retention ratio(R) and thermal diffusion coefficient($D_T$) are measured with change of molecular weight and composition of mixed solvents. Atempts are then made to correlate the measured values with various physicochemical parameters of polymers and solvents. Studies suggest that R is significantly increased with the density of solvent and a good correlation is found between them. $D_T$ values decreases in the mixed solvent having has a higher concentration of poor solvent.

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