• Title/Summary/Keyword: 2-dimensional diffusion

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Study on simultaneous heat and mass transfer during the physical vapor transport of Hg2Br2 under ㎍ conditions

  • Kim, Geug Tae
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.29 no.3
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    • pp.107-114
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    • 2019
  • A computational analysis has been carried out to get a thorough and full understanding on the effects of convective process parameters on double-diffusive convection during the growth of mercurous bromide ($Hg_2Br_2$) crystals on earth and under ${\mu}g$ conditions. The dimensional maximum magnitude of velocity vector, ${\mid}U{\mid}_{max}$ decreases much drasticlly near Ar = 1, and, then since Ar = 2, decreases. The ${\mu}g$ conditions less than $10^{-2}g$ make the effect of double-diffusion convection much reduced so that adequate advective-diffusion mass transfer could be obtained.

A numerical simulation of flow around an impulsively translating two dimensional circular cylinder using the diffusion vortex method (순간적으로 병진운동하는 2차원 원형실린더 주위 유동장의 확산와류방법 연구)

  • Seo, Ho-Won
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.6
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    • pp.9-15
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    • 2004
  • In this study the development of the two dimensional flowfield around an impulsively translated circular cylinder is numerically simulated using the diffusion vortex method. A detailed streamline pattern of fore wake and main wake of Re=1200, 9500 flowfields are investigated. The results of streamline pattern, the size of main wake and the axial velocities along the rear symmetry axis of the circular cylinder show good agreement with the reported experimental results. The long term wake delvelopment for Re=1200 flowfield was calculated up to ${\tau}=50$. The vortex shedding frequency shows the similar value as that of reported.

Finite Element Analysis of Hydrogen Concentration for Blister Growth Estimation of CANDU Pressure Tube (CANDU 압력관의 블리스터 성장 예측을 위한 유한요소 수소 확산 해석)

  • Huh, Nam-Su;Kim, Yun-Jae;Kim, Young-Jin;Kim, Young-Seok;Cheong, Yong-Moo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.2
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    • pp.189-195
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    • 2004
  • The pressure tubes, which contain high temperature heavy water and fuel, are within the core of a CANDU nuclear reactor, and are thus subjected to high stresses, temperature gradient, and neutron flux. Further, it is well known that pressure tubes of cold-worked Zr-2.5Nb materials result in hydrogen diffusion, which create fully-hydrided regions (frequently called Blister). Thus a proper investigation of hydrogen diffusion within zirconium-alloy nuclear components, such as CANDU pressure tube and fuel channels is essential to predict the structural integrity of these components. In this respect, this paper presents numerical investigation of hydrogen diffusion to quantify the hydrogen concentration fur blister growth of CANDU pressure tube. For this purpose, coupled temperature-hydrogen diffusion analyses are performed by means of two-dimensional finite element analysis. Comparison of predicted temperature field and blister with published test data shows good agreement.

A Development of the Small Signal Analyzer for the Stationary Drift-Diffusion Equation (정상상태에서 드리프트-확산 방정식의 소신호 해석 프로그램 개발)

  • Lim, Woong-Jin;Lee, Eun-Gu;Kim, Tae-Han;Kim, Cheol-Seong
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.36D no.11
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    • pp.45-55
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    • 1999
  • The small signal analyzer for the stationary drift-diffusion equation is developed. The slotboom variables of the potential, electron and hole concentrations for the response of applied small signal are defined and the stationary drift-diffusion equation is linearlized on DC operation point by $S^3A$ method. Frontal solver, which is used to solve the global matrix, progresses the accuracy of the solution in high frequency and minimizes the requirement of the memory. The simulations are executed on the structure of 3 dimensional N'P junction diode and 2 dimensional n-MOSFET to verify the proposed algorithm. The average relative errors of the conductance and the capacitance compared with MEDICI are about 26% and 0.67 for N'P junction diode and 7.75% and 2.24% for n-MOSFET. The simulation by the proposed algorithm can analyze the stationary drift-diffusion equation for applied small signal in high frequency region about 100GHz.

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Formation and Growth Estimation of Blister in Zr-2.5Nb Pressure Tubes based on Finite Element Analysis (유한요소해석을 이용한 지르코늄 압력관의 블리스터 생성 및 성장 해석)

  • Huh, Nam-Su;Kim, Yun-Jae;Kim, Young-Jin;Kim, Young-Seok;Cheong, Yong-Moo
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1133-1138
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    • 2003
  • The pressure tubes, which contain high temperature heavy water and fuel, are within the core of a CANDU nuclear reactor, and are thus subjected to high stresses, temperature gradient, and neutron flux. Further, it is well known that pressure tubes of cold-worked Zr-2.5Nb materials result in hydrogen diffusion, which create fully-hydrided regions (frequently called Blister). Thus a proper investigation of hydrogen diffusion within zirconium-alloy nuclear components, such as CANDU pressure tube and fuel channels is essential to predict the structural integrity of these components. In this respect, this paper presents numerical investigation of hydrogen diffusion to quantify the hydrogen concentration for blister growth of CANDU pressure tube. For this purpose, coupled temperature-hydrogen diffusion analyses are performed by means of two-dimensional finite element analysis. Comparison of predicted temperature field and blister with published test data shows good agreement.

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STABILITY AND BIFURCATION IN A DIFFUSIVE PREY-PREDATOR SYSTEM : NON-LINEAR BIFURCATION ANALYSIS

  • Bhattacharya, Rakhi;Bandyopadhyay, Malay;Banerjee, Sandip
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.17-26
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    • 2002
  • A stability analysis of a non-linear prey-predator system under the influence of one dimensional diffusion has been investigated to determine the nature of the bifurcation point of the system. The non-linear bifurcation analysis determining the steady state solution beyond the critical point enables us to determine characteristic features of the spatial inhomogeneous pattern arising out of the bifurcation of the state of the system.

Development of a three-dimensional dynamic model for chemotaxis

  • Song, Jihwan;Kim, Dongchoul
    • Interaction and multiscale mechanics
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    • v.4 no.2
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    • pp.165-171
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    • 2011
  • In this study, we proposed a three-dimensional dynamic model under the diffuse interface description for the single crawling cell. From the developed model, we described the clear evolution processes for crawling neutrophil and assessed the reliable quantitative chemotactic property, which confirmed the high possibility of adequate predictions. To establish the system considering of multiple mechanisms such as, diffusion, chemotaxis, and interaction with surface, a diffuse interface model is employed.

FINITE ELEMENT MODEL TO STUDY TWO DIMENSIONAL UNSTEADY STATE CYTOSOLIC CALCIUM DIFFUSION

  • Tewari, Shivendra Gajraj;Pardasani, Kamal Raj
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.427-442
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    • 2011
  • Calcium is a vital second messenger for signal transduction in neurons. Calcium plays an important role in almost every part of the human body but in neuronal cytosol, it is of utmost importance. In order to understand the calcium signaling mechanism in a better way a finite element model has been developed to study the flow of calcium in two dimensions with time. This model assumes EBA (Excess Buffering Approximation), incorporating all the important parameters like time, association rate, influx, buffer concentration, diffusion constant etc. Finite element method is used to obtain calcium concentration in two dimensions and numerical integration is used to compute effect of time over 2-D Calcium profile. Comparative study of calcium signaling in two dimensions with time is done with other important physiological parameters. A MATLAB program has been developed for the entire problem and simulated on an x64 machine to compute the numerical results.

Sensitivity Analysis of the Galerkin Finite Element Method Neutron Diffusion Solver to the Shape of the Elements

  • Hosseini, Seyed Abolfazl
    • Nuclear Engineering and Technology
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    • v.49 no.1
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    • pp.29-42
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    • 2017
  • The purpose of the present study is the presentation of the appropriate element and shape function in the solution of the neutron diffusion equation in two-dimensional (2D) geometries. To this end, the multigroup neutron diffusion equation is solved using the Galerkin finite element method in both rectangular and hexagonal reactor cores. The spatial discretization of the equation is performed using unstructured triangular and quadrilateral finite elements. Calculations are performed using both linear and quadratic approximations of shape function in the Galerkin finite element method, based on which results are compared. Using the power iteration method, the neutron flux distributions with the corresponding eigenvalue are obtained. The results are then validated against the valid results for IAEA-2D and BIBLIS-2D benchmark problems. To investigate the dependency of the results to the type and number of the elements, and shape function order, a sensitivity analysis of the calculations to the mentioned parameters is performed. It is shown that the triangular elements and second order of the shape function in each element give the best results in comparison to the other states.

Programming characteristics of single-poly EEPROM (Single-poly EEPROM 의 프로그램 특성)

  • 한재천;나기열;이성철;김영석
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.2
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    • pp.131-139
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    • 1996
  • Inthis apper wa analyzed the channel-hot-electron programming characteristics of the single-poly EEPROM with different control gate and drain structures. The single-poly EEPROM uses the p$^{+}$/n$^{+}$-diffusion in the n-well as a control gate instead of the second poly-silicon. The program and erase characteristics of the single-poly EEPROM were verified using the two-dimensional device simulator, MEDICI. The single-poly EEPROM was fabricated using 0.8$\mu$m ASIC CMOS process, and its CHE programming characteristics were measured using HP4155 parameteric analyzer and HP8110 pulse gnerator. Especially we investigated the CHE programming characteristics of the single-poly EEPROM with the p$^{+}$-diffusion or n$^{+}$-diffusion in the n-well as a control gate and the LDD or single-drain structure. The single-poly EEPROM with p$^{+}$-diffusion in the n-well as a control gate and single-drain structure was programmed to about VT$\thickapprox$5V with VDS=6V, VCG=12V(1ms pulse width).th).

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