• 제목/요약/키워드: Heat Conduction Equation

검색결과 192건 처리시간 0.02초

직교유동 내에 놓인 수평 실린더에서 서리 생성에 관한 실험적 연구 (An experimental study of frost forming on the horizontal cylinder under cross flow)

  • 이윤빈;노승탁
    • 설비공학논문집
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    • 제11권4호
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    • pp.448-456
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    • 1999
  • Variations of thickness and effective thermal conductivity of frost forming on the horizontal] cylinder with respect to time were measured under cross flow. The local heat flux around the cylinder was determined by measuring the radial temperature distribution in the cylinder having small holes drilled axially in which T-type thermocouples were inserted, then by using one dimensional cylindrical heat conduction equation. The thickness and the surface temperature of the frost layer around the cylinder were measured periodically while developing the frost. Each experiment was peformed by varying the Reynolds number, the temperature, and the humidity condition. Specially the dew point temperature of the most cases was below the freezing point. Experimental data showed that the frost layers on the front and the rear surface were thicker than those on the top and the bottom one which was near the separation point. The thickness and effective thermal conductivity of the frost layer were affected by inlet air velocity, temperature, and humidity. Moreover, the effective thermal conductivity and the effective thermal resistance increase with respect to time.

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엔탈피 모델을 이용한 레이저 용융풀 형상에 대한 수치해석연구 (NUMERICAL SIMULATION OF LASER WELD POOL GEOMETRY USING ENTHALPY METHOD)

  • 이태봉;정하승;신승원
    • 한국전산유체공학회지
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    • 제18권4호
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    • pp.61-68
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    • 2013
  • Laser welding is widely used in the industry for the advantage of small heat affected zone and short weld process time. Conduction limit welding can be used to modify the surface characteristic and it is important to identify the heat affecting area correctly for the improvement of manufacturing accuracy. Since time and length scale associated with laser welding process are extremely small, numerical study can be a useful tool. In this study, two-dimensional axi-symmetric version of energy equation with enthalpy method has been used to analyze the effect of laser input conditions on final shape by the laser welding process. The proposed numerical procedure has been benchmarked with several experimental results and compared well. The modified Marangoni and Peclet number have been introduced using controllable input variables. Simple parametric researches have been performed for high Pr number material. The results show that higher Marangoni number increase fluid mixing, thus generating convex type weld pool. On the other hand, the width of the weld pool is proportional to Peclet number.

자연대류 영향을 고려한 상변화 열에너지 저장장치의 열전도향상에 관한 수치적 연구 (Numerical Study on Enhanced Heat Conduction of Phase-Change Thermal Energy Storage Devices in The Presence of Natural Convection)

  • Chung, Hong-Chul
    • 한국안전학회지
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    • 제8권4호
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    • pp.207-212
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    • 1993
  • 상변화 에너지 저장장치는 변동하는 액체-고체 상접합면과 자연대류의 존재에 기인한 비선형성 때문에 해석적으로 분석하기가 어렵다. 핀(fin) 형태의 상변화 에너지 저장장치를 준선형화 시켜 열전달을 수치적으로 해석하여 실험 데이타와 비교 검증하였다. 대칭형 수평 핀에 대하여 준선형, 비정상의 얇은 2차원적 모델을 세우고 유한체적방법(FVM)에 의해 시간의 함수로 융해된 상변화물질의 비율과 액체-고체 상접합면의 형상을 예측하였다. 유한체적방법(FVM)에 의한 결과는 실험결과와 비교적 잘 일치하였다. 벽과 융해점 사이의 온도차가 클수록 융해된 상변화물질의 비율은 증가하였으며 대류항을 포함하는 경우가 없는 경우보다 실험결과에 더 가까운 해를 얻을 수 있었다.

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New Bubble Size Distribution Model for Cryogenic High-speed Cavitating Flow

  • Ito, Yutaka;Tomitaka, Kazuhiro;Nagasaki, Takao
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년 영문 학술대회
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    • pp.700-710
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    • 2008
  • A Bubble size distribution model has been developed for the numerical simulation of cryogenic high-speed cavitating flow of the turbo-pumps in the liquid fuel rocket engine. The new model is based on the previous one proposed by the authors, in which the bubble number density was solved as a function of bubble size at each grid point of the calculation domain by means of Eulerian framework with respect to the bubble size coordinate. In the previous model, the growth/decay of bubbles due to pressure difference between bubble and liquid was solved exactly based on Rayleigh-Plesset equation. However, the unsteady heat transfer between liquid and bubble, which controls the evaporation/condensation rate, was approximated by a theoretical solution of unsteady heat conduction under a constant temperature difference. In the present study, the unsteady temperature field in the liquid around a bubble is also solved exactly in order to establish an accurate and efficient numerical simulation code for cavitating flows. The growth/decay of a single bubble and growth of bubbles with nucleation were successfully simulated by the proposed model.

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Thermoelastoplastic response of FGM linearly hardening rotating thick cylindrical pressure vessels

  • Ebrahimi, Tayebeh;Nejad, Mohammad Zamani;Jahankohan, Hamid;Hadi, Amin
    • Steel and Composite Structures
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    • 제38권2호
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    • pp.189-211
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    • 2021
  • An analytical solution is presented to analyze the thermoelastoplastic response of a rotating thick-walled cylindrical pressure vessel made of functionally graded material (FGM). The analysis is based on Tresca's yield condition, its associated flow rule and linear strain hardening material behaviour. The uncoupled theory of thermoelasticity is used, and the plane strain condition is assumed. The material properties except for Poisson's ratio, are assumed to vary nonlinearly in the radial direction. Elastic, partially plastic, fully plastic, and residual stress states are investigated. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the vessel. It is assumed that the inner surface is exposed to an airstream and that the outer surface is exposed to a uniform heat flux. Tresca's yield criterion and its associated flow rule are used to formulate six different plastic regions for a linearly hardening condition. All these stages are studied in detail. It is shown that the thermoelastoplastic stress response of a rotating FGM pressure vessel is affected significantly by the nonhomogeneity of the material and temperature gradient. The results are validated with those of other researchers for appropriate values of the system parameters and excellent agreement is observed.

Development and validation of the lead-bismuth cooled reactor system code based on a fully implicit homogeneous flow model

  • Ge Li;Wang Jingxin;Fan Kun;Zhang Jie;Shan Jianqiang
    • Nuclear Engineering and Technology
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    • 제56권4호
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    • pp.1213-1224
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    • 2024
  • The liquid lead-bismuth cooled fast reactor has been in a single-phase, low-pressure, and high-temperature state for a long time during operation. Considering the requirement of calculation efficiency for long-term transient accident calculation, based on a homogeneous hydrodynamic model, one-dimensional heat conduction model, coolant flow and heat transfer model, neutron kinetics model, coolant and material properties model, this study used the fully implicit difference scheme algorithm of the convection-diffusion term to solve the basic conservation equation, to develop the transient analysis program NUSOL-LMR 2.0 for the lead-bismuth fast reactor system. The steady-state and typical design basis accidents (including reactivity introduction, loss of flow caused by main pump idling, excessive cooling, and plant power outage accidents) for the ABR have been analyzed. The results are compared with the international system analysis software ATHENA. The results indicate that the developed program can stably, accurately, and efficiently predict the transient accident response and safety characteristics of the lead-bismuth fast reactor system.

미세혈관 문합 후 순환계 질환 개선을 위한 원적외선 치료기의 열적 특성 평가 (Evaluation of Thermal Properties for the Far Infrared Therapy After Microvascular Anastomosis for the Treatment of Circulatory Diseases)

  • 양영규;오승현;김철웅
    • 대한기계학회논문집 C: 기술과 교육
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    • 제1권2호
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    • pp.179-186
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    • 2013
  • 혈액순환촉진, 심혈관계치료, 피부질환, 암세포억제 등의 의료분야에 원적외선 치료법이 광범위하게 활용되고 있다. 본 연구에서는 원적외선 치료에 효과적인 패널형 방사체의 발열부에 대한 열적 특성을 실험적으로 분석하였다. 발열선은 정상상태에서 절연피복에 $150mW/m^2$의 열유속으로 열에너지를 공급하여 절연피복은 발열선 온도의 20%에 도달하였다. 단열막 사용은 약 20%의 발열판 표면온도 증가효과가 있었으며 열시상수를 상승시켜 혈액순환촉진에 크게 기여하는 것으로 나타났다. 발열선의 배치간격이 발열부 설계에 중요한 인자이며 열확산의 중첩을 위해 발열판의 열전도계수와 밀도를 고려해야함을 알 수 있었다.

저주파 필터를 이용한 Wegmann 방법의 개량에 관한 연구 (A Study on Improvement of Wegmann's method by Low Frequency pass Filter)

  • 송은지
    • 정보처리학회논문지A
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    • 제8A권4호
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    • pp.503-508
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    • 2001
  • 2차원 Laplace방정식이 나타나는 열전도, 정전(靜電)potential, 유체(流體)의 문제 등에 등각사상이 유용하게 쓰이고 있다. 단위원 내부로부터 Jordan 영역 내부에로의 수치등각사상을 구하는 것은 비선형 적분방정식인 Theodorsen방정식을 푸는 것으로 귀착된다. 저자는 Theodorsen방정식을 구하는 해법 중 유효한 해법의 하나로 알려진 H bner의 방법을 소개하고 개선한 바 있다[1, 2]. 여기서는 계산량에 있어서 H bner보다 유리한 Wegmann의 방법을 다룬다. Wgmann방법에 의해 계산기상에 실현한 결과 난이도가 높은 문제에서는 수렴했다가 발산하는 문제점이 지적되었다. 본 논문에서는 Wegmann의 문제점을 이론적으로 분석하여 저주파필터에 의하여 개선한 방법을 제안하고 개선한 방법에 의한 수치 실험결과를 보고한다.

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고체 로켓 노즐의 경계층 해석과 유한차분법을 이용한 탄소/페놀릭의 열반응 해석 연구 (Analysis of Boundary Layer in Solid Rocket Nozzle and Numerical Analysis of Thermal Response of Carbon/Phenolic using Finite Difference Method)

  • 서상규;함희철;강윤구
    • 한국추진공학회지
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    • 제22권1호
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    • pp.36-44
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    • 2018
  • 고체 로켓 추진기관 노즐의 내열재로 사용되는 탄소/페놀릭 복합재료의 열반응 수치해석을 수행하였다. 본 논문에서 탄소/페놀릭 재료의 열반응 해석은 (1) 로켓 노즐벽에서 대류열전달계수를 구하기 위한 연소가스의 경계층 적분방정식 수치해석과 (2) 삭마두께, 숯깊이 및 온도를 계산하기 위한 탄소/페놀릭의 열반응(열분해, 삭마)을 고려한 1차원 열전도 해석으로 구성된다. 시험결과와 해석결과를 비교 분석하였으며, 목삽입재 좌우 인접 부위를 제외하고 잘 일치하는 것을 확인 할 수 있었다.

소수성 구리 표면에서의 액적 응축에 관한 액적 성장 및 열전달 특성 연구 (Investigation of Droplet Growth and Heat Transfer Characteristics during Dropwise Condensation on Hydrophobic Copper Surface)

  • 이형주;정찬호;김대윤;문주현;이재빈;이성혁
    • 한국분무공학회지
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    • 제23권3호
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    • pp.149-153
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    • 2018
  • The present study investigates the heat transfer characteristics of droplet growth during dropwise condensation on the hydrophobic copper surface. We use the copper specimen coated by the self-assembled layer and conduct the real-time measurement of droplet size and spatial distribution of condensates during condensation with the use of the K2 lens (long distance microscope lens) and CMOS camera. The temperatures are measured by three RTDs (resistance temperature detectors) that are located through the holes made in the specimen. The surface temperature is estimated by the measured temperatures with the use of the one-dimensional conduction equation. It is observed that the droplets on the surface are growing up and merging, causing larger droplets. The experimental results show that there are three distinct regimes; in the first regime, individual small droplets are created on the surface in the early stage of condensation, and they are getting larger owing to direct condensation and coalescence with other droplets. In the second and third regimes, the coalescence occurs mainly, and the droplets are detached from the surface. Also, the fall-off time becomes faster as the surface wettability decreases. In particular, the heat transfer coefficient increases substantially with the decrease in wettability because of faster removal of droplets on the surfaces for lower wettability.