• 제목/요약/키워드: heat-diffusion equation

검색결과 102건 처리시간 0.026초

평판 핀에서의 강제대류 열전달에 미치는 복사효과 (Radiative Effect on the Conjugated Forced Convection-Conduction Heat Transfer in a Plate Fin)

  • 손병진;민묘식;최상경
    • 대한기계학회논문집
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    • 제14권2호
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    • pp.453-462
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    • 1990
  • The interaction of forced convection-conduction with thermal radiation in laminar boundary layer over a plate fin is studied numerically. The analysis is based on complete solution whereby the heat conduction equation for the fin is solved simultaneously with the conservation equations for mass, momentum and energy in the fluid boundary layer adjacent to the fin. The fluid is a gray medium and diffusion(Rosseland) approximation is used to describe the radiative heat flux in the energy equation. The resulting boundary value problem are convection-conduction parameter N$_{c}$ and radiation-conduction parameter m, Prandtl number Pr. Numerical results are presented for gases with the Prandtl numbers of 0.7 & 5 with values of N$_{c}$ and M ranging from 0 to 10 respectively. The object of this study is to provide the first results on forced convection-radiation interaction in boundary layer flow over a semi-infinite flay plate which can be used for comparisons with future studies that will consider a more accurate expression for the radiative heat flux. The agreement of the results from the complete solution presented by E. M. Sparrow and those from this paper for the special case of M=0 is good. The overall rate of heat transfer from the fin considering radiative effect is higher than that from the fin neglecting radiative effect. The local heat transfer coefficient with radiative effect is higher than that without radiative effect. In the direction from tip to base, those coefficients decrease at first, attain minimum, and then increase. The larger values of N$_{c}$ M, Pr give rise to larger fin temperature variations and the fin temperature without radiative effect is always higher than that with radiative effect.

기체확산층 물성이 고분자전해질 연료전지 성능에 미치는 영향 (Effect of Gas Diffusion Layer Property on PEMFC Performance)

  • 김준섭;김준범
    • 공업화학
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    • 제31권5호
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    • pp.568-574
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    • 2020
  • 기체확산층은 유로에서 전극으로 반응물을 전달하고, 반응으로 생성되는 물을 배출하는 통로이며 열 배출과 전극 지지대 등의 역할을 하는 고분자전해질 연료전지의 핵심 구성요소이다. 본 연구에서는 국내외 기체확산층 상용 제품인 39BC와 JNT30-A3에 대한 연료전지의 성능 평가를 수행하였다. 25 ㎠ 단위 전지를 이용하여 유량, 상대습도 조건에 대한 분극 곡선을 측정하였고, empirical equation을 이용하여 운전 조건에 대한 성능 인자를 도출하였다. 기체확산층의 PTFE 함량이 높을수록 저항이 증가하였고, 미세다공층의 크랙은 물의 이동 통로로서 농도 손실에 영향을 미쳤다. 또한 상대습도가 낮을수록 Ohmic 저항이 증가하였지만, 전류밀도가 증가할수록 이온전도도가 증가하여 Ohmic 저항이 감소하였다. Empirical equation을 이용한 fitting curve을 통하여 기체확산층의 운전 조건에 대한 성능 인자 경향을 해석할 수 있었다.

착상 거동 해석을 위한 수치적 모텔 (Numerical Model for the Analysis of Frosting Behavior)

  • 이관수;양동근;지성
    • 설비공학논문집
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    • 제14권3호
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    • pp.261-267
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    • 2002
  • The integral boundary layer equation for the air side and the diffusion equation for the frost layer are numerically analyzed in order to predict the behavior of frost layer growth. The thickness and density of the frost layer obtained from the present study agree well with those of previous numerical results and experimental data with a maximum error of 13%. The characteristics of heat and mass transfer within the frost layer and the frost layer growth along the flow direction are investigated by performing numerical analysis. The effects of operating conditions on the frost layer growth are also examined.

벽면 충돌 난류 확산화염의 특성 (The Characteristics of Turbulent Diffusion Flame Impinging on the Wall)

  • 박용열;김호영
    • 대한기계학회논문집B
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    • 제23권2호
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    • pp.175-184
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    • 1999
  • A theoretical study on the turbulent round jet diffusion flame impinging on the wall was carried out to predict the characteristics and structure of Impinging jet flame and heat transfer to the wall. Finite chemistry via Arrhenius equation and eddy dissipation model was adopted as a combustion model, and the Favre averaging and $k-{\varepsilon}$ model were Introduced In the theoretical modeling. The SIMPLE algorithm was applied to the calculation. All the transport properties were considered as the variable depending on the temperature and composition. For the parametric study, the distance from nozzle to impinging wall and Reynolds number at nozzle exit were chosen 88 the major parameters. As the results of the present study, the characteristics of flow fields, the distributions of main variables and each chemical species and the flame shapes were obtained. The heat transfer rate from the flame to the wall and the effective heating area were calculated to investigate the Influences of the major parameters on the heat transfer characteristics.

이종 소재 접합체의 흡습 질량 확산 해석 (A Study of Hygroscopic Moisture Diffusion Analysis in Multimaterial System)

  • 김용연
    • 마이크로전자및패키징학회지
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    • 제18권2호
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    • pp.11-15
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    • 2011
  • 폴리머의 흡습문제를 해석하기 위해 흡습확산 지배방정식과 열전달 방정식을 고찰하였다. 두 방정식의 동일 한 형식의 편미분방정식이기 때문에 상사의 법칙을 적용하여 물체가 등온 하중조건을 받고 있을 때 단일 매질의 확산문 제를 상용유한요소코드에 의해 수치적으로 해석하였다. 여러 소재로 구성된 매체는 흡습질량이 접착면에서 불연속 특성 을 갖기 때문에 확산해석에 상사법칙을 직접적으로 적용할 수 없으나 흡습관련 소재 특성이 온도만의 함수인 소재로 구 성된 매체에서 흡습확산 문제는 접착면에서 연속성을 가지고 있는 압력비를 고려함으로써 해석하였다. 실리콘-비전도성 수지 접합체의 측정된 흡습 변화량은 접합면을 경계조건으로 하고 단일 매체에 대한 해석 결과와 매우 근접한 결과를 보였으나, 복합체로 해석한 결과는 흡습시간이 경과할수록 점점 큰 오차가 발생하였다.

A variational nodal formulation for multi-dimensional unstructured neutron diffusion problems

  • Qizheng Sun ;Wei Xiao;Xiangyue Li ;Han Yin;Tengfei Zhang ;Xiaojing Liu
    • Nuclear Engineering and Technology
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    • 제55권6호
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    • pp.2172-2194
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    • 2023
  • A variational nodal method (VNM) with unstructured-mesh is presented for solving steady-state and dynamic neutron diffusion equations. Orthogonal polynomials are employed for spatial discretization, and the stiffness confinement method (SCM) is implemented for temporal discretization. Coordinate transformation relations are derived to map unstructured triangular nodes to a standard node. Methods for constructing triangular prism space trial functions and identifying unique nodes are elaborated. Additionally, the partitioned matrix (PM) and generalized partitioned matrix (GPM) methods are proposed to accelerate the within-group and power iterations. Neutron diffusion problems with different fuel assembly geometries validate the method. With less than 5 pcm eigenvalue (keff) error and 1% relative power error, the accuracy is comparable to reference methods. In addition, a test case based on the kilowatt heat pipe reactor, KRUSTY, is created, simulated, and evaluated to illustrate the method's precision and geometrical flexibility. The Dodds problem with a step transient perturbation proves that the SCM allows for sufficiently accurate power predictions even with a large time-step of approximately 0.1 s. In addition, combining the PM and GPM results in a speedup ratio of 2-3.

유한요소법을 이용한 IH-JAR의 열확산 예측에 관한 연구 (A Study on the Heat-Diffusion Prediction of Induction Heating JAR using Finite Element Method)

  • 오홍석
    • 한국화재소방학회논문지
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    • 제16권2호
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    • pp.8-13
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    • 2002
  • 유도가열 기술은 담금질, 단조를 위한 예열, 용융 그리고 요리 등과 같은 산업 전반에 걸쳐서 아주 폭넓게 사용되는 기술이다. 본 논문에서는 IH-JAR의 효과적인 설계를 위하여 자계 및 열 해석을 하였다. IH-lAR의 내부자계는 3차원 축대칭 유한요소법을 사용하여 해석하였으며, 열원은 IH-JAR 내부에서 유도된 와전류에 의하여 발생되고, 열은 열원과 열방정식을 사용하여 계산되어진다. 또한, IH-JAR의 온도분포를 시간과 투자율에 따라 제시하였다.

물성치 모델개발을 통한 고강도콘크리트의 시간의존 해석 (Time-dependent Analysis of High Strength Concrete Using Material Characteristics Model)

  • 이태규;김혜욱
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 추계학술대회 논문집
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    • pp.1096-1101
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    • 2008
  • Concrete is shown the time dependent behavior after placing. The time dependent behavior of normal strength concrete that is used usually in present, were already examined closely lots of parameters by several investigators. however, high strength concrete is that the material characteristics are not definite and the experimental data are lacking. So, The goal of this study is to propose the material characteristics models, and to develop the routine of the time dependent behavior above 60 MPa. The thermal conductivity, the specific heat, the moisture diffusion coefficient, and the surface coefficient are proposed the suitable models through the parametric study. The structural element is used the 8-node solid element. The matrix equation is developed considering the transient heat transfer and moisture diffusion theory. The application of the time dependent behavior is used the finite differential method.

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휜-관 열교환기의 착상 성능 해석 (Analysis of Frosting Performance of a Fin-Tube Heat Exchanger)

  • 양동근;이관수
    • 설비공학논문집
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    • 제17권11호
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    • pp.965-973
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    • 2005
  • This paper proposes a mathematical model for predicting the frosting performance on a fin-tube heat exchanger. The model consists of empirical correlations of average heat transfer coefficients for the plate and tube surfaces and a diffusion equation inside the frost layer. The numerical results are compared with experimental data for the frost thickness, the frosting rate and the heat transfer rate to validate the proposed model. The results are in good agreement with the experimental data, and show that this model can be applied to predict frosting performance of common fin-tube heat exchanger.

전력용 반도체소자(IGBT)의 모델링에 의한 열적특성 시뮬레이션 (Modeling and Thermal Characteristic Simulation of Power Semiconductor Device (IGBT))

  • 서영수;백동현;조문택
    • 한국화재소방학회논문지
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    • 제10권2호
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    • pp.28-39
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    • 1996
  • A recently developed electro-thermal simulation methodology is used to analyze the behavior of a PWM(Pulse-Width-Modulated) voltage source inverter which uses IGBT(Insulated Gate Bipolar Transistor) as the switching devices. In the electro-thermal network simulation methdology, the simulator solves for the temperature distribution within the power semiconductor devices(IGBT electro-thermal model), control logic circuitry, the IGBT gate drivers, the thermal network component models for the power silicon chips, package, and heat sinks as well as the current and voltage within the electrical network. The thermal network describes the flow of heat form the chip surface through the package and heat sink and thus determines the evolution of the chip surface temperature used by the power semiconductor device models. The thermal component model for the device silicon chip, packages, and heat sink are developed by discretizing the nonlinear heat diffusion equation and are represented in component from so that the thermal component models for various package and heat sink can be readily connected to on another to form the thermal network.

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