• Title/Summary/Keyword: Initial Solution

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Selective Dissolution of ZnO Crystal by a Two-step Thermal Aging in Aqueous Solution (수용액 합성법의 2단계 성장온도 변화를 통한 ZnO 결정의 선택적 용해 현상)

  • Kim, Jeong-Seog;Chae, Ki-Woong
    • Journal of the Korean Ceramic Society
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    • v.48 no.4
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    • pp.263-268
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    • 2011
  • ZnO hexagonal rods grown in aqueous solution can be changed into a tubular shape by two-step aging in the course of the growing process. In the first step, hexagonal ZnO rods is grown by aging at $90^{\circ}C$ under a highly supersaturated aqueous solution giving rise to a fast precipitation rate. Meanwhile, during the second step aging at $60^{\circ}C$ in the same aqueous solution, the hexagonal polar face (001) having higher surface energy than (010) side planes dissolves to minimize surface energy. Hence the flat (001) face changes to a craterlike face and the hexagonal rod length of ZnO decreases at an initial-stage of this step aging. The formation of the (101) wedge-type faces is ascribed to the resultant of competitive reactions between the dissolution of polar face minimizing the surface energy which is a dominant reaction at the initial stage and the precipitation reaction dissipating supersaturation. At a later stage of the second-step the reaction rates of these two processes in the aqueous solution become similar and the overall reaction is terminated.

Fixed Point Algorithm for GPS Measurement Solution (GPS 관측치 위치계산을 위한 부동점 알고리즘)

  • Lim, Samsung
    • Journal of Advanced Navigation Technology
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    • v.4 no.1
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    • pp.45-49
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    • 2000
  • A GPS measurement solution, in general, is obtained as a least squares solution since the measurement includes errors such as clock errors, ionospheric and tropospheric delays, multipath effect etc. Because of the nonlinearity of the measurement equation, we utilize the nonlinear Newton algorithm to obtain a least squares solution, or mostly, use its linearized algorithm which is more convenient and effective. In this study we developed a fixed point algorithm and proved its availability to replace the nonlinear Newton algorithm and the linearized algorithm. A nonlinear Newton algorithm and a linearized algorithm have the advantage of fast convergence, while their initial values have to be near the unknown solution. On the contrary, the fixed point algorithm provides more reliable but slower convergence even if the initial values are quite far from the solution. Therefore, two types of algorithms may be combined to achieve better performance.

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An approximate analytical solution for the initial transient process of close-contact melting on an isothermal surface (등온가열에 의한 접촉융해의 초기 과도과정에 대한 근사적 해석해)

  • Yu, Ho-Seon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.12
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    • pp.1710-1719
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    • 1997
  • An approximate analytical solution for the initial transient process of close-contact melting occurring between a phase change material kept at its melting temperature and an isothermally heated flat surface is derived. The model is so developed that it can cover both rectangular and circular cross-sectional solid blocks. Normalization of simplified model equations in reference to the steady solution enables the solution to be expressed in a generalized form depending on the liquid-to-solid density ratio only. A selected result shows an excellent agreement with the previously reported numerical data, which justifies the present approach. The solution appears to be capable of describing all the fundamental characteristics of the transient process. In particular, dependence of the solid descending velocity oft the density ratio at the early stage of melting is successfully resolved. The effects of other parameters except the density ratio on the transient behaviors are efficiently represented via the steady solution implied in the normalized result. A simple approximate method for estimating the effect of convection on heat transfer across the liquid film is also proposed.

Analytical solution and experimental study of membrane penetration in triaxial test

  • Ji, Enyue;Zhu, Jungao;Chen, Shengshui;Jin, Wei
    • Geomechanics and Engineering
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    • v.13 no.6
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    • pp.1027-1044
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    • 2017
  • Membrane penetration is the most important factor influencing the measurement of volume change for triaxial consolidated-drained shear test for coarse-grained soil. The effective pressure p, average particle size $d_{50}$, thickness $t_m$ and elastic modulus $E_m$ of membrane, contact area between membrane and soil $A_m$ as well as the initial void ratio e are the major factors influencing membrane penetration. According to the membrane deformation model given by Kramer and Sivaneswaran, an analytical solution of the membrane penetration considering the initial void ratio is deduced using the energy conservation law. The basic equations from theory of plates and shells and the elastic mechanics are employed during the derivation. To verify the presented solution, isotropic consolidation tests of a coarse-grained soil are performed by using the method of embedding different diameter of iron rods in the triaxial samples, and volume changes due to membrane penetration are obtained. The predictions from presented solution and previous analytical solutions are compared with the test results. It is found that the prediction from presented analytical solution agrees well with the test results.

A REGULARITY THEOREM FOR THE INITIAL TRACES OF THE SOLUTIONS OF THE HEAT EQUATION

  • Chung, Soon-Yeong
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1039-1046
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    • 1996
  • In the theory of partial differential equations with given initial values and boundary values one usually investigates to examine the well-posedness, that is, the unique existence of the solution as well as its continuous dependence on the data. This theory is strong enough for us to determine the situation anywhere and anytime provided that the initial data are actually given. However, in many cases the data are not completely known for us. Then in those situations arise the new problem to determine the unknown initial data by taking other conditions for the solutions.

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Development of the Real-time Initial Alignment Algorithm using the Kalman Filter

  • Oh, Sang-Heon;Hwang, Dong-Hwan;Lee, Sang-Jeong
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.61.2-61
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    • 2001
  • The purpose of the initial alignment of a SDINS is to get a coordinate transformation matrix from the body frame to the navigation frame. The initial alignment is one of the most important processes in the navigation system since its error has a large influence on the navigation solution. In this paper, a real-time initial alignment algorithm for the SDINS is developed using the Kalman filter. The steady state error analysis is performed for the developed Kalman filter technique and the gyrocompass loop method. The performance of the developed alignment method is compared with the gyrocompass loop method through the real-time alignment experiments.

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Analysis of Team Interaction Changes in Capstone-Design Activities by MBTI Modes (Capstone-Design 활동에서 MBTI 성격유형에 따른 팀 상호작용 변화 분석)

  • Lee, Tae-Ho;Kim, Taehoon
    • Journal of Engineering Education Research
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    • v.17 no.1
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    • pp.57-64
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    • 2014
  • This study has a purpose mainly to analyze the team interaction change by the duration of time in the Capstone-Design activities according to MBTI Modes. Study objects are four students of Mechanical Engineering at School of Engineering in C University located in Daejeon, and the team interaction change was analyzed through IPA (Interaction Process Analysis) method. From the result, first, ESTP showed the change of increase in interaction by the time duration of initial, mid, late periods in 'social-emotional area: positive' and 'task area: question', and the change of decrease by the same time duration of periods in 'task area: solution'. Also, there was no change in 'social-emotional area: negative' because there was no interaction. Second, ESFJ showed the change of decrease in interaction by the time duration of initial, mid, late periods in 'social-emotional area: positive' and 'task area: question', and the change of increase by the same time duration of periods in 'task area: solution' and 'social-emotional area: negative'. Third, ISTJ showed the change of decrease in interaction by the time duration of initial, mid, late periods in 'social-emotional area: positive', 'task area: question' and 'social-emotional area: negative', and the change of increase by the same time duration of periods in 'task area: solution'. Fourth, ENFP showed the change of decrease by the time duration of initial, mid, late periods in 'social-emotional area: positive', 'task area: solution' and 'social-emotional area: negative', and the change of increase by the same time duration of periods in 'task area: question'.

Determining a Minimum Initial Delay Time for Download & Seamless Playback of Multimedia Contents on Network Digital Signage (네트워크 디지털 사이니지의 콘텐츠 다운로드 및 연속재생을 위한 최소 초기 지연시간 결정)

  • Park, Young-Kyun;Nam, Young-Jin;Kwon, Young-Jik
    • Journal of Korea Society of Industrial Information Systems
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    • v.17 no.2
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    • pp.33-43
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    • 2012
  • Digital signage is referred to as a smart electronic display system that delivers multimedia-based information and advertisements to customers. Typically, the digital signage starts its playback after downloading a list of multimedia contents from network storage to its local disk. However, a way of downloading the entire contents before its playback entails a long initial delay time. In this paper, we formulate a problem of the initial delay time and provide a solution to compute a minimally demanded initial delay time according to a given network bandwidth and qualities/sizes of the multimedia contents. In addition, we analyze the performance of the proposed solution with various multimedia contents on digital signage.

The influence of the fluid flow velocity and direction on the wave dispersion in the initially inhomogeneously stressed hollow cylinder containing this fluid

  • Surkay D. Akbarov;Jamila N. Imamaliyeva;Reyhan S. Akbarli
    • Coupled systems mechanics
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    • v.13 no.3
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    • pp.247-275
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    • 2024
  • The paper studies the influence of the fluid flow velocity and flow direction in the initial state on the dispersion of the axisymmetric waves propagating in the inhomogeneously pre-stressed hollow cylinder containing this fluid. The corresponding eigenvalue problem is formulated within the scope of the three-dimensional linearized theory of elastic waves in bodies with initial stresses, and with linearized Euler equations for the inviscid compressible fluid. The discrete-analytical solution method is employed, and analytical expressions of the sought values are derived from the solution to the corresponding field equations by employing the discrete-analytical method. The dispersion equation is obtained using these expressions and boundary and related compatibility conditions. Numerical results related to the action of the fluid flow velocity and flow direction on the influence of the inhomogeneous initial stresses on the dispersion curves in the zeroth and first modes are presented and discussed. As a result of the analyses of the numerical results, it is established how the fluid flow velocity and flow direction act on the magnitude of the influence of the initial inhomogeneous stresses on the wave propagation velocity in the cylinder containing the fluid.

GLOBAL SOLUTION AND BLOW-UP OF LOGARITHMIC KLEIN-GORDON EQUATION

  • Ye, Yaojun
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.281-294
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    • 2020
  • The initial-boundary value problem for a class of semilinear Klein-Gordon equation with logarithmic nonlinearity in bounded domain is studied. The existence of global solution for this problem is proved by using potential well method, and obtain the exponential decay of global solution through introducing an appropriate Lyapunov function. Meanwhile, the blow-up of solution in the unstable set is also obtained.