• 제목/요약/키워드: (${\epsilon},\

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수평평판위 의 혼합대류 열전말 계산 을 위한 4-방정식 모델 의 개발 (Development of four-equation turbulence model for prediction of mixed convective heat transfer on a flat plate)

  • 성형진;정명균
    • 대한기계학회논문집
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    • 제7권2호
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    • pp.193-203
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    • 1983
  • The mixed convective heat transfer problems are characterized by the relatively significant contribution of buoyancy force to the transport processes of momentum and heat. Past analytical studies on this kind of problems have been carried out by employing either the conventional R-.epsilon. turbulence model which includes constant turbulent Prandtl number .sigma.$_{+}$ 1 or an extended R-.epsilon. turbulence model which takes account of the buoyancy effect in appropriate length scale equations. But in the latter case, the temperature variance .the+a.$^{2}$ over bar is approximated by a model under local equilibrium condition and the time scale ratio between velocity and temperature is assumed to be constant. These approximation is known to break down when the buoyancy effect is dominant. The present study is aimed at development of new computational turbulence closure level which can be applied to this rather complex turbulent process. The temperature variance is obtained directly by solving its dynamic transport equation and the time scale ratio which is variable in space is computed by a solution of a dynamic equation for the rate of scalar dissipation .epsilon.$_{\thetod}$ It was found that the computational results are in good agreement with available experimental data of wide range of unstable conditions.

A topological optimization method for flexible multi-body dynamic system using epsilon algorithm

  • Yang, Zhi-Jun;Chen, Xin;Kelly, Robert
    • Structural Engineering and Mechanics
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    • 제37권5호
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    • pp.475-487
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    • 2011
  • In a flexible multi-body dynamic system the typical topological optimization method for structures cannot be directly applied, as the stiffness varies with position. In this paper, the topological optimization of the flexible multi-body dynamic system is converted into structural optimization using the equivalent static load method. First, the actual boundary conditions of the control system and the approximate stiffness curve of the mechanism are obtained from a flexible multi-body dynamical simulation. Second, the finite element models are built using the absolute nodal coordination for different positions according to the stiffness curve. For efficiency, the static reanalysis method is utilized to solve these finite element equilibrium equations. Specifically, the finite element equilibrium equations of key points in the stiffness curve are fully solved as the initial solution, and the following equilibrium equations are solved using a reanalysis method with an error controlled epsilon algorithm. In order to identify the efficiency of the elements, a non-dimensional measurement is introduced. Finally, an improved evolutional structural optimization (ESO) method is used to solve the optimization problem. The presented method is applied to the optimal design of a die bonder. The numerical results show that the presented method is practical and efficient when optimizing the design of the mechanism.

뫼스바우어 분광기법을 이용한 Fe-N 나노입자의 자기특성연구 (Study of Magnetic Property of Fe-N Nanoparticle Using Mössbauer Spectroscopy)

  • 오세진
    • 한국자기학회지
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    • 제17권2호
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    • pp.76-80
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    • 2007
  • 화학기상응축공정법으로 세 가지 분해온도에서 제조된 나노 Fe-N 시료들을 뫼스바우어 분광기, XRD와 BET를 이용하여 자기적 특성의 변화를 연구하였다. 분해온도가 낮을수록 ${\gamma}'-Fe_4N$의 형성이 용이하였으며, 중간온도에서의 ${\epsilon}-Fe_{2.12}N$을 거쳐 높은 분해온도에서는 ${\gamma}-Fe$가 주로 형성되었다. 높은 분해온도에서는 Fe와 N이 서로 잘 결합되지 못하였는데, 이는 Fe와 N을 결합시키기 위해서는 분해온도를 낮게 하는 것이 바람직하다는 것을 의미한다.

Change of Intrinsic Brightness Temperatures of Compact Radio Jets

  • Lee, Sang-Sung
    • 천문학회보
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    • 제39권2호
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    • pp.57.1-57.1
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    • 2014
  • We present results of our investigation of intrinsic brightness temperatures of compact radio jets at radio frequencies. The intrinsic brightness temperatures of about 100 compact radio jets at 2, 5, 8, 15, and 86 GHz are estimated based on large VLBI surveys conducted in 2001-2003 (or in 1996 for the 5 GHz sample). The multi-freqeuncy intrinsic brightness temperatures of the sample of the jets are determined with a statistical method relating the observed brightness temperatures with the maximal apparent jet speed, assuming one representative intrinsic brightness temperature for the sample at each observing frequency. With investigating the observed brightness temperatures at 15 GHz in multiple epochs, we found that the determination of the intrinsc brightness temperature for our sample is affected by variability of individual jets in flux density at the time scales of a few years. This implies an importance of contemporaneity of the multi-frequency VLBI observations for the statistical method. Since our analysis is based on the VLBI observations conducted in 2001-2003, the results are less affected by the flux density variability. We found that the intrinsic brightness temperature $T_0$ increases as $T_0{\propto}{\nu}^{\epsilon}$ with ${\epsilon}{\approx}0.7$ below a critical frequency ${\nu}_c{\approx}10GHz$ where energy losses begin to dominate the emission, and above the critical frequency, $T_0$ decreases with ${\epsilon}{\approx}-1.2$ supporting for the decelerating jet model.

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난류선회제트 계산에 관한 난류모델 비교 연구 (Comparison of Various Turbulence Models for the Calculation of Turbulent Swirling Jets)

  • 최동규;최도형;김문언
    • 대한기계학회논문집
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    • 제14권2호
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    • pp.440-452
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    • 1990
  • Comprehensive numberical computations have been made for four turbulent swirling jets with and without recirculation to critically evaluate the accuracy and universality of several exising turbulence models as well as of the modified k-.epsilon. model proposed in the present study. A numerical scheme based on the full Navier-Stoke equations ha been developed and used for this purpose. Inlet conditions are given by experiments, whenever possible, to minimize the error due to incorrect initial conditions. The standard k-.epsilon. model performs well for the strongly swirling jets with recirculation while it underpredicts the influence of swirl for weakly swirling jets. Rodi's swirl correction and algebraic stress model do not exhibit universality for the swirling jets. The present modified k-.epsilon. model derived from algebraic stress model accounts for anisotropy and streamline curvature effect on turbulence. This model performs consistently better than others for all cases. It may be because these flows have a strong dependence of stresses on the local strain of the mean flow. The predictions of truculence intensities indicate that this model successfully reflect the curvature effect in swirling jets, i.e. the stabilizing and destabilizing effects of swirl on turbulence transport.

후방계단유동에 대한 저레이놀즈 수 난류모형의 예측성능에 관한 연구 (The study of predictive performance of low Reynolds number turbulence model in the backward-facing step flow)

  • 김원갑;최영돈
    • 대한기계학회논문집B
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    • 제20권5호
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    • pp.1661-1670
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    • 1996
  • Incompressible flow over a backward-facing step is computed by low Reynolds number turbulence models in order to compare with direct simulation results. In this study, selected low Reynolds number 1st and 2nd (Algebraic Stress Model : ASM) moment closure turbulence models are adopted and compared with each other. Each turbulence model predicts different flow characteristics, different re-attachment point, velocity profiles and Reynolds stress distribution etc. Results by .kappa.-.epsilon. turbulence models indicate that predicted re-attachment lengths are shorter than those by standard model. Turbulent intensity and eddy viscosity by low Reynolds number .kappa.-.epsilon. models are still greater than DNS results. The results by algebraic stress model (ASM) are more reasonable than those by .kappa.-.epsilon. models. The convective scheme is QUICK (Quadratic Upstream Interpolation for Convective Kinematics) and SIMPLE algorithm is adopted. Reynolds number based on step height and inlet free stream velocity is 5100.

형상변화 에 의한 열교환기 의 열전달 성능 향상 (II) (The Improvement of the Heat Exchanger Performance by Shape Modifieation(II))

  • 노승탁;이택식;강신형;이은현;송명호
    • 대한기계학회논문집
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    • 제9권2호
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    • pp.202-212
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    • 1985
  • 본 논문에서는 이러한 연구의 첫단계로 Gosman과 Ideriah가 다룬 TEACH-2E전 산프로그램을 모체로 하여 본 논문의 문제에 적합하도록 수정하여 사용하였다. 그러 나 기본적인 k-.epsilon.난류모델은 수정하지 않았다. 한편, 본 논문에서는 열선풍속계를 이용하여 평균 속도분포 및 난류특성을 계측하고 계산결과와 비교하였다. 이를 통하 여 표준형 k-.epsilon.모델을 이용한 TEACH-2E코드의 특성을 파악하고 이를 위한 실험 데이터 를 확보하는데 중점을 두었다.

고온열전재료 $FeSi_2$의 변태거동 (Transformation Behaviour of High Temperature Thermoelectric $FeSi_2$)

  • 은영효;민병규;이동희
    • Applied Microscopy
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    • 제25권3호
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    • pp.90-98
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    • 1995
  • In the Fe-Si system, a mixture of a($Fe_{2}Si_5$) - and ${\epsilon}$(FeSi)-composition powders was sintered and heat-treated subsequently at various temperatures and time to get thermoelectric ${\beta}$-phase($FeSi_2$) compacts. The different transformational sequences depending on the heat treating temperature were found through the investigation into phase transformation and microstructural development. That is, a rapid eutectoid decomposition of ${\alpha}{\to}{\beta}+Si$ occurred together with a accompanying slow reaction between the dispersed Si formed by above decomposition and the preexisted ${\epsilon}$ phase at temperatures below $830^{\circ}C$. The unreacted Si and the micropores formed due to the density change upon the transformation coarsened as heat treating time elapsed. At temperatures above $880^{\circ}C$, however, transformation was proceeded by a peritectoid reaction of ${\alpha}+{\epsilon}{\to}{\beta}$. It took at least 200min. to achieve 90% volume fracion of transformed ${\beta}$ phase, and the growth of micro-pores was also observed in this transformational sequence with prolonged heat treating time.

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BaTiO3 치환에 따른 NaNbO3-LiNbO3 세라믹스의 압전 및 유전특성 (Piezoelectric and Dielectric Properties of NaNbO3-LiNbO3 Ceramics according to the BaTiO3 Substitution)

  • 이상호;류주현;마석범;김성구
    • 한국전기전자재료학회논문지
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    • 제22권3호
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    • pp.205-209
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    • 2009
  • In this study, in order to develop the composition ceramics for lead-free ultrasonic motor, (1-x-0.09)$NaNbO_{3-x}BaTiO_3-0,09LiNbO_3$ ceramics were fabricated using a conventional mixed oxide process and their piezoelectric and dielectric characteristics were investigated according to the $BaTiO_3$ substitution. All the specimens showed orthorhombic phase structure without secondary phase, $BaTiO_3$ substitution enhanced density, dielectric constant(${\epsilon}_r$) and electromechanical coupling factor($k_p$), However, mechanical quality factor was deteriorated. Curie temperature of specimens was observed as about $380^{\circ}C$. At the $BaTiO_3$ substitution of 4 mol%, density, electromechanical coupling factor($k_p$), dielectric constant(${\epsilon}_r$) and piezoelectric constant($d_{33}$) of specimen showed the optimum value of $4.493g/cm^3$, 0.236, 175, 70 pC/N, respectively.

SELF-ADJOINT INTERPOLATION PROBLEMS IN ALGL

  • Kang, Joo-Ho;Jo, Young-Soo
    • Journal of applied mathematics & informatics
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    • 제14권1_2호
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    • pp.387-395
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    • 2004
  • Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation $AX_{i}\;=\;Y_{i}$, for i = 1,2,...,n. In this article, we showed the following: Let H be a Hilbert space and let L be a subspace lattice on H. Let X and Y be operators acting on H. Assume that range(X) is dense in H. Then the following statements are equivalent: (1) There exists an operator A in AlgL such that AX = Y, $A^{*}$ = A and every E in L reduces A. (2) sup ${\frac{$\mid$$\mid${\sum_{i=1}}^n\;E_iYf_i$\mid$$\mid$}{$\mid$$\mid${\sum_{i=1}}^n\;E_iXf_i$\mid$$\mid$}$:n{\epsilon}N,f_i{\epsilon}H\;and\;E_i{\epsilon}L}\;<\;{\infty}$ and = for all E in L and all f, g in H.