• 제목/요약/키워드: time-dependent temperature distribution

검색결과 104건 처리시간 0.022초

Macroscopic and microscopic mass transfer in silicon czochralski method

  • Kakimoto, Koichi
    • 한국결정성장학회지
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    • 제9권4호
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    • pp.381-383
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    • 1999
  • First topic of this paper aims to clarify how oxygen and heat transfer in silicon melt under cusp-shaped magnetic fields. We obtained asymmetric temperature distribution by using time dependent and three-dimensional calculation. Second topic is study on molecular dynamics simulation, which was carried out to estimate diffusion constants of oxygen in silicon melt.

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Dynamic characteristics of curved inhomogeneous nonlocal porous beams in thermal environment

  • Ebrahimi, Farzad;Daman, Mohsen
    • Structural Engineering and Mechanics
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    • 제64권1호
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    • pp.121-133
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    • 2017
  • This paper proposes an analytical solution method for free vibration of curved functionally graded (FG) nonlocal beam supposed to different thermal loadings, by considering porosity distribution via nonlocal elasticity theory for the first time. Material properties of curved FG beam are assumed to be temperature-dependent. Thermo-mechanical properties of porous FG curved beam are supposed to vary through the thickness direction of beam and are assumed to be temperature-dependent. Since variation of pores along the thickness direction influences the mechanical and physical properties, porosity play a key role in the mechanical response of curved FG structures. The rule of power-law is modified to consider influence of porosity according to even distribution. The governing equations of curved FG porous nanobeam under temperature field are derived via the energy method based on Timoshenko beam theory. An analytical Navier solution procedure is used to achieve the natural frequencies of porous FG curved nanobeam supposed to thermal loadings with simply supported boundary condition. The results for simpler states are confirmed with known data in the literature. The effects of various parameters such as nonlocality, porosity volume fractions, type of temperature rising, gradient index, opening angle and aspect ratio of curved FG porous nanobeam on the natural frequency are successfully discussed. It is concluded that these parameters play key roles on the dynamic behavior of porous FG curved nanobeam. Presented numerical results can serve as benchmarks for future analyses of curve FG nanobeam with porosity phases.

Time-Dependent Optimal Heater Control Using Finite Difference Method

  • Li, Zhen-Zhe;Heo, Kwang-Su;Choi, Jun-Hoo;Seol, Seoung-Yun
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회B
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    • pp.2254-2255
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    • 2008
  • Thermoforming is one of the most versatile and economical process to produce polymer products. The drawback of thermoforming is difficult to control thickness of final products. Temperature distribution affects the thickness distribution of final products, but temperature difference between surface and center of sheet is difficult to decrease because of low thermal conductivity of ABS material. In order to decrease temperature difference between surface and center, heating profile must be expressed as exponential function form. In this study, Finite Difference Method was used to find out the coefficients of optimal heating profiles. Through investigation, the optimal results using Finite Difference Method show that temperature difference between surface and center of sheet can be remarkably minimized with satisfying Temperature of Forming Window.

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Al-Li-( Cu, Zr) 합금에서 시효에 따른 δ' 상의 형상 및 입자크기분포의 변화 (The Changes of the Shape and Particle Size Distribution of δ' Phase on Ageing in Al-Li-( Cu, Zr) Alloys)

  • 우기도;조현기
    • 열처리공학회지
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    • 제7권2호
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    • pp.96-102
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    • 1994
  • The present work was aimed to examine the changes of the shape and particle size distribution(PSD) of ${\delta}^{\prime}$ particles on ageing in Al-Li-(Cu, Zr) alloys which had low density, high specific strength and stiffness, Increasing ageing time and temperature resulted in particles whose aspect ratio tended toward 1. The aspect ratio of ${\delta}^{\prime}$ particles was not dependent upon the ageing temperature and time in Al-Li-Cu alloy but was dependent upon them in Al-Li-Zr alloy. The PSD of ${\delta}^{\prime}$ particles in Al-Li-Zr alloy skewed to the right hand compared with that in Al-Li-Cu alloy, because $Al_3Zr$ phase in Al-Li-Zr alloy formed before ageing promoted the precipitation and growth of ${\delta}^{\prime}$ phase. Therefore, the PSD of the ${\delta}^{\prime}$ particles was found to be affected by the presence of $Al_3Zr$ particles. The growth rate of ${\delta}^{\prime}$ phase was not affected by the existence of the third transition phase $T_1$ formed by the addition of Cu in Al-Li alloy but was affected by the existence of $Al_3Zr$ formed by the addition of Zr in Al-Li alloy.

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Thermo-mechanical vibration analysis of temperature-dependent porous FG beams based on Timoshenko beam theory

  • Ebrahimi, Farzad;Jafari, Ali
    • Structural Engineering and Mechanics
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    • 제59권2호
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    • pp.343-371
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    • 2016
  • In this paper thermo-mechanical vibration analysis of a porous functionally graded (FG) Timoshenko beam in thermal environment with various boundary conditions are performed by employing a semi analytical differential transform method (DTM) and presenting a Navier type solution method for the first time. The temperature-dependent material properties of FG beam are supposed to vary through thickness direction of the constituents according to the power-law distribution which is modified to approximate the material properties with the porosity phases. Also the porous material properties vary through the thickness of the beam with even and uneven distribution. Two types of thermal loadings, namely, uniform and linear temperature rises through thickness direction are considered. Derivation of equations is based on the Timoshenko beam theory in order to consider the effect of both shear deformation and rotary inertia. Hamilton's principle is applied to obtain the governing differential equation of motion and boundary conditions. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of several parameters such as porosity distributions, porosity volume fraction, thermal effect, boundary conditions and power-low exponent on the natural frequencies of the FG beams in detail. It is explicitly shown that the vibration behavior of porous FG beams is significantly influenced by these effects. Numerical results are presented to serve benchmarks for future analyses of FG beams with porosity phases.

자동차 워셔액 가열시스템의 온도 변화 특성에 관한 연구 (A Study on the Characteristics of Time Dependent Temperature Change in a Automobile Washer Heater)

  • 하지수;이선봉;이동권
    • 한국산학기술학회논문지
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    • 제14권3호
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    • pp.1040-1044
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    • 2013
  • 본 논문은 추운 겨울 자동차 앞면 유리에 생기는 성에를 제거하는 워셔액 가열시스템의 가열과 분사에 따른 온도변화 특성에 관한 연구이다. 지금까지 다른 연구에서는 워셔액 가열시스템에 대한 온도 변화 특성을 간단한 수학적 모델링을 통하여 분석하였으나 본 연구에서는 워셔액 가열시스템의 보다 더 최적화된 제어시스템 설계를 위해 워셔액 가열시스템의 시간에 따른 열유동 특성 변화를 전산유체해석(CFD)을 통해 파악하기로 한다. 이를 위해서 워셔액 가열시스템의 주요 부분인 히터와 워셔액에 대한 비정상상태 해석을 수행하고 워셔액 전체의 온도 변화 특성을 분석하였다. 이를 토대로 워셔액의 가열시간과 분사시 온도 특성을 파악하여 워셔액 가열시스템의 최적설계의 기본자료로 활용하도록 하였다.

지하수-지표수 혼합구간의 수직 온도 분포 특성 분석 (Characterization of vertical temperature distribution in Hyporheic zone)

  • 김희정;이진용;이성순;현윤정;이강근
    • 한국습지학회지
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    • 제13권2호
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    • pp.265-273
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    • 2011
  • 지하수-지표수 혼합구간(Hyporheic zone)은 지표수와 지하수의 온도변화에 민감하게 반응하는 구간이다. 지표수의 경우 대기온도에 영향을 받아 온도의 변화주기가 짧은 반면, 상대적으로 지하수는 온도 변화주기가 길다. 본 연구에서는 지하수-지표수 혼합구간의 유동강도와 방향을 고려하여 깊이별 온도의 수직적 분포특성 분석하였다. 현장자료를 이용한 1차원 열전달 해석 수행결과, 지하수-지표수 혼합구간에서 지하수 유출과 지표수의 유입이 일어나는 지점에서 온도의 분포는 상이한 양상을 보였다. 혼합구간의 수직적 온도 분포의 변화는 하천기저에서 가장 두드러지게 나타났다. 또한 열전달 해석 결과를 바탕으로 연구지 혼합구간의 온도분포는 유동강도보다 유동방향에 지배받았다.

Two dimensional time-dependent creep analysis of a thick-walled FG cylinder based on first order shear deformation theory

  • Loghman, Abbas;Faegh, Reza K.;Arefi, Mohammad
    • Steel and Composite Structures
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    • 제26권5호
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    • pp.533-547
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    • 2018
  • In this paper the time-dependent creep analysis of a thick-walled FG cylinder with finite length subjected to axisymmetric mechanical and thermal loads are presented. First order shear deformation theory (FSDT) is used for description of displacement components. Inner and outer temperatures and outer pressure are considered as thermo-mechanical loadings. Both thermal and mechanical loadings are assumed variable along the axial direction using the sinusoidal distribution. To find temperature distribution, two dimensional heat transfer equation is solved using the required boundary conditions. The energy method and Euler equations are employed to reach final governing equations of the cylinder. After determination of elastic stresses and strains, the creep analysis can be performed based on the Yang method. The results of this research indicate that the boundaries have important effects on the responses of the cylinder. The effect of important parameters of this analysis such as variable loading, non-homogeneous index of functionally graded materials and time of creep is studied on the behaviors of the cylinder.

스테인레스강 절삭가공에서 공구의 온도 특성에 대한 실험적 연구 (An Experimental Study of the Temperature Characteristics of a Cutting Tool in Machining of Stainless Steel)

  • 권용기
    • 한국생산제조학회지
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    • 제5권1호
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    • pp.9-16
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    • 1996
  • This is an experimental investigation of the temperature generated in a cutting tool during the machining of stainless steel. The temperature results from the wear of the cutting tool are considered in order to investigate the relation between cause and effect of these factors. This possibility has been tested using a thermocouple technique to record temperature vs. time curves for a variety of cutting conditions. This is done by employing a thermocouple inserted on the tool tip near the major cutting edge. Temperature distributions are calculated using finite element method and compared to the contour maps measured by an optical system. It suggests that the temperature gradients and the tool performance will be dependent on certain facotrs in tool geometry when cutting this material.

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온침 시술 시 생체 조직 내 열분포 분석에 관한 연구 (Thermal Distribution in Living Tissue during Warm Needling Therapy)

  • 김종연;이종수
    • 한방재활의학과학회지
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    • 제24권3호
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    • pp.111-119
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    • 2014
  • Objectives This study aims to analyze a thermal distribution in biological living tissue during warm needling therapy by using a finite element method. The analysis provides an understanding of warm needling's efficacy and safety. Methods A model which consisted of four-layered tissue and stainless steel needle was adopted to analyze the thermal distribution in living tissue with a bioheat transfer analysis. The governing equation for the analysis was a Pennes' bioheat equation. A heat source characteristic of warm needling therapy was obtained by previous experimental measurements. The first analysis of the time-dependent temperature distribution was conducted through points on a boundary between the needle and the tissue. The second analysis was conducted to visualize the horizontal temperature distribution. Results When heat source's peak temperatures was above $500^{\circ}C$ and temperature rising rates were relatively slow, the peak temperature at skin surface exceeded a threshold of pain and tissue damage ($45^{\circ}C$), whereas when the peak temperature was around $400^{\circ}C$, the peak temperature at the skin surface was within a safe limit. In addition, the conduction of combustion energy from the moxa was limited to the skin layer around the needle. Conclusions The results suggest that the skin layer around the needle can be heated effectively by warm needling therapy, but it appears to have little effect at the deeper tissue. These findings enhance our understanding of the efficacy and the safety of the warm needling therapy.