• 제목/요약/키워드: Lattice diffusion

검색결과 122건 처리시간 0.027초

CONCENTRATION CONTOURS IN LATTICE AND GRAIN BOUNDARY DIFFUSION IN A POLYCRYSTALLINE SOLID

  • Kim, Yongsoo;Wonmok Jae;Saied, Usama-El;Donald R. Olander
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1995년도 추계학술발표회논문집(2)
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    • pp.707-712
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    • 1995
  • Grain boundary diffusion plays significant role in the fission gas release, which is one of the crucial processes dominating nuclear fuel performance. Gaseous fission products such as Xe and Kr generated inside fuel pellet have to diffuse in the lattice and in the grain boundary before they reach open space in the fuel rod. In the mean time, the grains in the fuel pellet grow and shrink according to grain growth kinetics, especially at elevated temperature at which nuclear reactors are operating. Thus the boundary movement ascribed to the grain growth greatly influences the fission gas release rate by lengthening or shortening the lattice diffusion distance, which is the rate limiting step. Sweeping fission gases by the moving boundary contributes to the increment of the fission gas release as well. Lattice and grain boundary diffusion processes in the fission gas release can be studied by 'tracer diffusion' technique, by which grain boundary diffusion can be estimated and used directly for low burn-up fission gas release analysis. However, even for tracer diffusion analysis, taking both the intragranular grain growth and the diffusion processes simultaneously into consideration is not easy. Only a few models accounting for the both processes are available and mostly handle them numerically. Numerical solutions are limited in the practical use. Here in this paper, an approximate analytical solution of the lattice and stationary grain boundary diffusion in a polycrystalline solid is developed for the tracer diffusion techniques. This short closed-form solution is compared to available exact and numerical solutions and turns out to be acceptably accurate. It can be applied to the theoretical modeling and the experimental analysis, especially PIE (post irradiation examination), of low burn up fission. gas release.

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이류확산 방정식 계산을 위한 입방보간유사입자 격자볼츠만 모델 (The Cubic-Interpolated Pseudo-Particle Lattice Boltzmann Advection-Diffusion Model)

  • 김미래;첸빙키;김경천
    • 한국가시화정보학회지
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    • 제20권3호
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    • pp.74-85
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    • 2022
  • We propose a Cubic-Interpolated Pseudo-Particle Lattice Boltzmann method (CIP-LBM) for the convection-diffusion equation (CDE) based on the Bhatnagar-Gross-Krook (BGK) scheme equation. The CIP-LBM relies on an accurate numerical lattice equilibrium particle distribution function on the advection term and the use of a splitting technique to solve the Lattice Boltzmann equation. Different schemes of lattice spaces such as D1Q3, D2Q5, and D2Q9 have been used for simulating a variety of problems described by the CDE. All simulations were carried out using the BGK model, although another LB scheme based on a collision term like two-relation time or multi-relaxation time can be easily applied. To show quantitative agreement, the results of the proposed model are compared with an analytical solution.

TiC-$Cr_3C_2$ 계 확산구동 재결정에 미치는 ZrC와 VC 첨가영향 (Effects of ZrC and VC Addition on the Diffusion Induced Recrystallization of TiC--$Cr_3C_2$)

  • 채기웅
    • 한국세라믹학회지
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    • 제33권2호
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    • pp.223-227
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    • 1996
  • The effect of ZrC and VC addition on the diffusion induced recrystallization (DIR) of TiC-Cr3C2 has been investigated. With in creasing the amount of added ZrC to Cr3C2 the DIR of TiC was suppressed at the begining and then occurred. On the contrary the DIR was accelerated with the addition of VC to Cr3C2 Because the lattice parameters of (Ti, Cr)C and (Ti,V)C are smaller and that of (Ti, Zr)C is larger than that of TiC the lattice parameter of (Ti,Cr,Zr)C is expected to be similar to that of TiC,. The results indicate that the strain energy due to lattice mismatch between TiC and solid-solution carbide is the driving force of the observed energy due to lattice mismatch between TiC and solid-solution carbide is the driving force of the observed DIR.

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Sintering and Grain Growth of Rare Earth-Doped Ceria Particles

  • Sameshima, Soichiro;Higashi, Kenji;Hirata, Yoshihiro
    • 한국결정성장학회:학술대회논문집
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    • 한국결정성장학회 2000년도 Proceedings of 2000 International Nano Crystals/Ceramics Forum and International Symposium on Intermaterials
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    • pp.65-86
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    • 2000
  • Rare earth-doped ceria powders with a composition of Ce0.8R0.2O1.9(R=Yb, Y, Gd, Sm, Nd and La) were prepared by heating the oxalate coprecipitate. The green compacts began to shrink at 600$^{\circ}$-700$^{\circ}C$. The relative density after the sintering at 1200$^{\circ}$ and 1400$^{\circ}C$ became higher for the higher green density. The samples were densified above 98% relative density by the sintering ant 1600$^{\circ}C$ for 4 h and the grain sizes (4.7-7.6$\mu\textrm{m}$) showed a tendency to become larger with increasing ionic radius of doped-rare earth element. In the intial stag of sintering at 700$^{\circ}$-800$^{\circ}C$, the dominant mass transport process changed from lattice diffusion to grain boundary diffusion to grain boundary diffusion with heating time. The porosity during the intermediated and final stage of the sintering at 1200$^{\circ}$ and 1400$^{\circ}C$ decreased by the mass transport through lattice diffusion with grain growth.

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The Software Development for Diffusion Tensor Imaging

  • Song, In-Chan;Chang, Kee-Hyun;Han, Moon-Hee
    • 대한자기공명의과학회:학술대회논문집
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    • 대한자기공명의과학회 2001년도 제6차 학술대회 초록집
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    • pp.112-112
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    • 2001
  • Purpose: We developed the software for diffusion tensor imaging and evaluated its feasibility in norm brains. Method: Five normal volunteers, aged from 25 to 29 years, were examined on a 1.5 T MR system. the diffusion tensor pulse sequence used a SE-EPI with 6 diffusion gradie directions of (1, 1, 0), (-1, 1,0), (1, 0, 1), (-1, 0, 1), (0, 1, 1), (0, 1, -1) and also with no diffusion gradient. A b-factor of 500 sec/mm2 was used. Measurement parameter were as follows; TR/TE=10000 ms/99 ms, FOV=240 mm, matrix=128$\times$128, slice thickness/gap=6 mm/0 mm, bandwidth=91 kHz and the number of total slices=20. Four repeated axial diffusion images were averaged for diffusion tensor imaging. A total scan 11 of 4 min 30 sec was used. Six full diffusion tensor components of Dxx, Dyy, Dzz, Dxy, Dxz and Dyz were obtained using two-point linear regression model from 7 diffusion-weight images at each pixel and fractional anisotropy and lattice index images was estimated fr their eigenvectors and eigenvalues. Our program was written on a platform of IDL. W evaluated the qualities of fractional anisotropy and lattice index images of normal brains a knew whether our software for diffusion tensor imaging may be feasible.

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Tracer Concentration Contours in Grain Lattice and Grain Boundary Diffusion

  • Kim, Yong-Soo;Donald R. Olander
    • Nuclear Engineering and Technology
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    • 제29권1호
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    • pp.7-14
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    • 1997
  • Grain boundary diffusion plays a significant role in fission gas release, which is one of the crucial processes dominating nuclear fuel performance. Gaseous fission produce such as Xe and Kr generated during nuclear fission have to diffuse in the grain lattice and the boundary inside fuel pellets before they reach the open spaces in a fuel rod. These processes can be studied by 'tracer diffusion' techniques, by which grain boundary diffusivity can be estimated and directly used for low burn-up fission gas release analysis. However, only a few models accounting for the both processes are available and mostly handle them numerically due to mathematical complexity. Also the numerical solution has limitations in a practical use. In this paper, an approximate analytical solution in case of stationary grain boundary in a polycrystalline solid is developed for the tracer diffusion techniques. This closed-form solution is compared to available exact and numerical solutions and it turns out that it makes computation not only greatly easier but also more accurate than previous models. It can be applied to theoretical modelings for low bum-up fission gas release phenomena and experimental analyses as well, especially for PIE (post irradiation examination).

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W-C-N 확산방지막의 격자상수 변화 분석을 통한 특성 연구 (Analysis of Lattice constants change for study of W-C-N Diffusion)

  • 김수인;이창우
    • 한국진공학회지
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    • 제17권2호
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    • pp.109-112
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    • 2008
  • 고집적화된 반도체 소자 기술은 나날이 발전하고 있다. 특히 금속 배선을 위한 박막제조 공정에서 배선 선폭은 감소하고 있으며, 그 길이는 더욱 증가하게 되었다. 이러한 상황에서 금속 배선 물질에 대한 연구가 진행 되었고 그 결과 Cu가 그 대안으로 인식되었다. 하지만 Cu는 저온에서도 Si기판과 반응하므로 인하여 접촉면의 저항이 급격히 증가하여 소자로써의 기능이 불가능하게 되는 단점이 있다. 따라서 이러한 Cu와 Si기판 사이의 반응을 효과적으로 방지할 확산방지막의 개발이 필수 요건이 되었다. 본 연구는 Cu의 확산을 방지하는 W-C-N 확산방지막에 대한 연구로 질소비율과 열처리 온도를 변화하여 실험하였으며, 특히 격자상수 변화를 통하여 W-C-N 확산방지의 특성에 대하여 연구하였다.

GaInAsP/InP 이종구조에서 Zn 확산에 의한 $Zn_3P_2$의 정합석출 (Coherent Precipitation of $Zn_3P_2$ During Zn Diffusion in a GaInAsP/InP Heterostructure)

  • 홍순구;이정용;박효훈
    • 한국세라믹학회지
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    • 제30권3호
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    • pp.206-214
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    • 1993
  • Coherent precipitation of Zn3P2 during Zn diffusion in a GaInAsP/InP heterostructure was studied using high-resolution transmission electron microscopy. Zn-diffusion-induced intermixing of Ga and In across the GaInAsP/InP heterointerface provided a Ga-mixed InP region which was nearly lattice-matched with Zn3P2 crystal and thus allowed thecoherent precipitation of Zn3P2. The Zn3P2 precipitates were preferentially nucleated at stacking faults which were formed to relax interfacial strain built up by the intermixing. The precipitates were grown to planar epitaxial layer along (100) plane in the lattice-matched region. The TEM images and diffraction pettern revealed that the tetragonal Zn3P2 crystals were coherently matched to the fcc structured GaInP matrix by the {{{{ SQRT {2} $\times$ SQRT {2} $\times$2 }} arrangement. The precipitation reaction of Zn3P2 was explained by an atomic migration model based on the kick-out mechanism.

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GPU 가속 기술을 이용한 격자 볼츠만법 기반 원유 확산 과정 시뮬레이션 (GPU-accelerated Lattice Boltzmann Simulation for the Prediction of Oil Slick Movement in Ocean Environment)

  • 하솔;구남국;노명일
    • 한국CDE학회논문집
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    • 제18권6호
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    • pp.399-406
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    • 2013
  • This paper describes a new simulation technique for advection-diffusion phenomena over the sea surface using the lattice Boltzmann method (LBM), capable of predicting oil dispersion from tankers. The LBM is used to solve the pollutant transport problem within the framework of the ocean environment. The sea space is represented by the lattices, where each lattice has the information on oil transportation. Since dispersed oils (i.e., oil droplets) at sea are transported by convection due to waves, buoyancy, and turbulent diffusion, the conservation of mass and many physical oil transport rules were used in the prediction model. Since the LBM is modeled using the uniform lattices and simple rules, it can be easily accelerated by the parallel mechanism, for example, GPU-accelerated method. The proposed model using the LBM is used to simulate a simple pollution event with the oil pollutants of 10,000 kL. The simulation results indicate that the LBM method accelerated with the GPU is 6 times faster than that without the GPU.