• Title/Summary/Keyword: Diffusion theory

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Multi-group Diffusion Analysis on Kori Reactor's Fuel Loading Patterns (고리원자로 핵연료의 장진방법에 대한 다군확산적 효과분석)

  • Chang Kun Lee
    • 전기의세계
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    • v.22 no.1
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    • pp.20-27
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    • 1973
  • The multi-group diffusion theory is applied to the analysis of the currently constructing Kori reactor core which is to be refuelled by 3-region fuel loading pattern and also to the comparative study on a conceptually designed 5-region reactor core, under the condition that, apart from the thermal-hydraulic considerations, all the input data referred to here in are assumed to be identical for both cases. The numerical calculation is carried out for quantitative analysis of the characteristics of the two fuel loading patterns in details, and the calculated results show that, so far as the nuclear aspects are concerned, the characteristics of the 5-region reactor core are proved to be superior to those of Kori's 3-region reactor core in general.

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The Breakdown Phenomena of N2 gas by RF Electric Field (라디오 주파수전계에 의한 질소가스의 브레이크 다운 현상)

  • 황기웅;노영수
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.5
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    • pp.199-204
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    • 1986
  • The breakdown phenomena of N2 gas by 13.56MHz electric field are very different from those under steady field. In this paper we analyzed the breakdown phenomena by using electron distribution function and diffusion equation. The second-order differential equation derived from the Boltzmann equation is solved for the electron distribution function. The ionization rate and diffusion coefficient are calculated using kinetic theory formulas. The breakdown condition is that the number of electrons produced by ionization equal the number diffusing to the walls of the discharge chamber. Theses theoretical breakdown electric fields are calculated by the computer and compared with the experimental values.

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Free-Volume Theory for Diffusion (자유 부피 확산 이론)

  • 홍성욱
    • Membrane Journal
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    • v.8 no.1
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    • pp.1-10
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    • 1998
  • 액체 상태에서 물질이 확산되는 현상을 자유 부피의 개념으로 해석하고자 하는 노력은 1959년에 Cohen과 Turnbull에 의해서 시작되었다. 그들은 액체의 부피를 두 부분으로 나누었는데, 하나는 분자가 차지하고 있는 점유 부피(Occupied volume)이고, 다른 하나는 자유 부피(Free-volume)로서 무작정한 열적 유동에 의해서 재분배된다. 온도의 변화에 의해 부피가 변하는 것은 이 자유 부피의 변화때문이며, 점유 부피는 온도에는 무관함 것으로 갖주하였다. 분자가 액체 상태에서 이동하려면 이웃에 충분한 크기의 자유 부피 공간이 존재해야한다. 따라서, 분자의 확산은 분자가 이들 자유 부피 공간들로 도약하는 것이다. Cohen-Turnbull의 이론에서는 순수한 액체의 자기 확산 계수(Self-diffusion conefficient)는 자유 부피의 무작정한 유동에 의하여 임계 크기의 공간이 생성되는 확률과 관련이 있다. Cohen-Turnbull 자유 부피 이론은 그 후 많은 사람들에 의해서 수정되었고, 그중에서 현재 가장 널리 사용되는 것은 Fujita의 이론과 Vrentas-Duda의 이론이다. 두 이론 모두 확산 데이터를 correlation하는데는 문제가 없으나, Vrentas-Duda의 이론만이 확산계수를 예측할 수 있는 능력이 있다. 또한, 고분자와 용매의 도약 단위의 몰 질량이 같을때에 Vrentas-Duda의 이론은 Fujita의 이론과 같아지므로, Fujita의 이론은 Vrentas-Duda의 이론의 특수한 경우라고 할 수 있다. 따라서, 본 논문에서는 Vrentas-Duda 자유 부피 이론만을 다루기로 하겠다.

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Stationary bootstrap test for jumps in high-frequency financial asset data

  • Hwang, Eunju;Shin, Dong Wan
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.163-177
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    • 2016
  • We consider a jump diffusion process for high-frequency financial asset data. We apply the stationary bootstrapping to construct a bootstrap test for jumps. First-order asymptotic validity is established for the stationary bootstrapping of the jump ratio test under the null hypothesis of no jump. Consistency of the stationary bootstrap test is proved under the alternative of jumps. A Monte-Carlo experiment shows the advantage of a stationary bootstrapping test over the test based on the normal asymptotic theory. The proposed bootstrap test is applied to construct continuous-jump decomposition of the daily realized variance of the KOSPI for the year 2008 of the world-wide financial crisis.

Partitioning and Diffusion Properties of Hydrogen Gases In Porous Membranes Using the Nonoverlapping Sphere Model (비겹침 구형 모델을 이용한 세공 박막 내 수소 기체의 분산 및 확산 특성)

  • Suh, Soong-Hyuck;Ha, Ki-Ryong
    • Transactions of the Korean hydrogen and new energy society
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    • v.9 no.3
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    • pp.119-125
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    • 1998
  • The modified statistical-mechanical theory for dense fluid mixtures of rigid spheres has been applied to rigid sphere fluids in the nonoverlapping pore model. The resulting expressions for the partition coefficient and diffusivity illustrate the influence of steric hindrance on the thermodynamic and transport properties in such systems. The open membrane model without the size-exclusion and shielding effects shows considerable overestimation of the diffusion flux when the effective mean pore radii of the order of $20{\AA}$ or less are involved. Theoretical predictions investigated here were also compared with experimental data for hydrogen gases in inorganic porous membranes and it was observed a qualitative agreement in the low pressure limit.

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Sorption and Permeation of Orange II Through Nitrocellulose-Poly (vinylamine) Blended Membranes (니트로셀루로오스-폴리비닐아민 혼합막에 의한 Orange II의 수착과 투과)

  • Tak, Tae-Moon
    • Textile Coloration and Finishing
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    • v.2 no.2
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    • pp.33-38
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    • 1990
  • Nitrocellulose [NC]-Poly(vinylamine) [PVAm] blended membranes with the change of amino group contents were prepared. The sorption and permeation of a mono-sulfonic acid dye, Orange II, in the membranes were investigated by the steady-state permeation method at $50^{\circ}C$ and pH 2.2. The results were discussed in the framework of dual sorption and diffusion theory. It was found that thesorption isotherms comprise a partition and two Langmuir type adsorption having similar binding constants. One of the latter sorption modes is due to unknown adsorption sites in NC and the other is due to the amino groups in PVAm. Apparent diffusion coefficients for collective P and L dye species, $D_P\; and D_L$, were obtained. Interpretation of $D_P$ values leads to two modes of partitions; one is such that dye is immobilized in NC and the other is the dissolution of the dye into the internal water phase.

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Self-Diffusion of THO within Tactic Poly(2-hydroxyethyl methacrylate) Membranes

  • Kim, Hye-Kyeong;Jhon, Mu-Shik
    • Bulletin of the Korean Chemical Society
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    • v.4 no.3
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    • pp.128-132
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    • 1983
  • The self-diffusion experiment of water was performed across two series of tactic poly(2-hydroxyethyl methacrylate), P(HEMA) membranes prepared by crosslinking with various amount of hexamethylene diisocyanate (HMDIC). The tagging material was tritium hydroxide (THO) and the efflux of THO was counted on a Liquid Scintillation Counter. The transport data of THO show that the permeability decreases as the amount of HMDIC increased from 2.5 to 10 mole % and the self-diffusions coefficient shows a parallel trend with it. The diffusivity data was discussed in terms of the change of water structural orderliness within membranes. Using the relation between viscosities and diffusivities derived from Eyring's absolute rate theory, the corresponding viscosities of water within two series of tactic P(HEMA) membranes were obtained. From this, it is seen that the viscosity of water within tactic P(HEMA) membranes may have the same values with those of supercooling water whose temperature ranges from -28 to -$36^{\circ}C.$.

Theory of Diffusion-Influenced Bimolecular Reactions in Solution : Effects of a Stochastic Gating Mode

  • Kim Joohyun;Lee Sangyoub
    • Bulletin of the Korean Chemical Society
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    • v.13 no.4
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    • pp.398-404
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    • 1992
  • We have investigated the kinetics of diffusion-influenced bimolecular reactions in which one reactant has an internal mode, called the gating mode, that activates or deactivates its reactivity intermittently. The rate law and an expression for the time-dependent rate coefficient have been obtained from the general formalism based on the hierarchy of kinetic equations involving reactant distribution functions. The analytic expression obtained for the steady-state reaction rate constant coincides with the one obtained by Szabo et al., who derived the expression by employing the conventional concentration-gradient approach. For the time-dependent reaction rate coefficient, we obtained for the first time an exact analytic expression in the Laplace domain which was then inverted numerically to give the time-domain results.

Time-dependent Analysis of High Strength Concrete Using Material Characteristics Model (물성치 모델개발을 통한 고강도콘크리트의 시간의존 해석)

  • Lee, Tae-Gyu;Kim, Hye-Uk
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.1096-1101
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    • 2008
  • Concrete is shown the time dependent behavior after placing. The time dependent behavior of normal strength concrete that is used usually in present, were already examined closely lots of parameters by several investigators. however, high strength concrete is that the material characteristics are not definite and the experimental data are lacking. So, The goal of this study is to propose the material characteristics models, and to develop the routine of the time dependent behavior above 60 MPa. The thermal conductivity, the specific heat, the moisture diffusion coefficient, and the surface coefficient are proposed the suitable models through the parametric study. The structural element is used the 8-node solid element. The matrix equation is developed considering the transient heat transfer and moisture diffusion theory. The application of the time dependent behavior is used the finite differential method.

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Time harmonic interactions in fractional thermoelastic diffusive thick circular plate

  • Lata, Parveen
    • Coupled systems mechanics
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    • v.8 no.1
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    • pp.39-53
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    • 2019
  • Here in this investigation, a two-dimensional thermoelastic problem of thick circular plate of finite thickness under fractional order theory of thermoelastic diffusion has been considered in frequency domain. The effect of frequency in the axisymmetric thick circular plate has been depicted. The upper and lower surfaces of the thick plate are traction free and subjected to an axisymmetric heat supply. The solution is found by using Hankel transform techniques. The analytical expressions of displacements, stresses and chemical potential, temperature change and mass concentration are computed in transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically. The effect frequency has been shown on the various components.