• 제목/요약/키워드: heat diffusion equation

검색결과 102건 처리시간 0.029초

리브 간격 변화에 따른 열.유동 수치해석 및 압력 저하 특성 (Numerical Analysis of Thermal and Flow affected by the variation of rib interval and Pressure drop Characteristics)

  • 정한식;이경환;신용한;최순호;정효민
    • Journal of Advanced Marine Engineering and Technology
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    • 제35권5호
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    • pp.616-624
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    • 2011
  • 본 연구에서는 사각채널내에 주유속 방향에 가로지르게 배치된 반원 리브의 난류 유동에 대한 유동 특성과 열전달 증대에 관해 수치해석적으로 살펴보았다. 사각채널의 종횡비는 5이고, 수력직경 대비 리브 높이비는 0.07, 사각채널 높이 대비 리브 높이비는 0.117로서 리브 높이 대비 리브 피치비가 8~14인 리브를 주기적으로 배열하여 연구를 수행하였다. 난류 모델의 선정은 실제 현상과 근접한 벽 근처 유동 특성과 열전달을 위해 SST k-${\omega}$ 난류 모델과 v2-f 난류 모델을 이용하였다. 수치해석의 결과는 실험에 의 해 관찰된 난류 유동 특성, 열전달 및 마찰계수의 결과를 잘 예측함을 보여준다. 본 결과에서 난류 운동 에너지가 재순환류 영역의 확산과 밀접한 관련이 있음을 알 수 있고 v2-f 난류 모델이 SST k-${\omega}$ 난류 모델에 비해 실험결과를 더 잘 예측하였다.

Buongiorno의 비균질 모델을 사용한 나노유체의 층류 자연대류 해석 (COMPUTATION OF LAMINAR NATURAL CONVECTION OF NANOFLUID USING BUONGIORNO'S NONHOMOGENEOUS MODEL)

  • 최석기;김성오;이태호
    • 한국전산유체공학회지
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    • 제18권4호
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    • pp.25-34
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    • 2013
  • A numerical study of a laminar natural convection of the CuO-water nanofluid in a square cavity using the Buongiorno's nonhomogeneous model is presented. All the governing equations including the volume fraction equation are discretized on a cell-centered, non-uniform grid employing the finite-volume method with a primitive variable formulation. Calculations are performed over a range of Rayleigh numbers and volume fractions of the nanopartile. From the computed results, it is shown that both the homogeneous and nonhomogeneous models predict the deterioration of the natural convection heat transfer well with an increase of the volume fraction of nanoparticle at the same Rayleigh number, which was observed in the previous experimental studies. It is also shown that the differences in the computed results of the average Nusselt number at the wall between the homogeneous and nonhomogeneous models are very small, and this indicates that the slip mechanism of the Brown diffusion and thermophoresis effects are negligible in the laminar natural convection of the nanofluid. The degradation of the heat transfer with an increase of the volume fraction of the nanoparticle in the natural convection of nanofluid is due to the increase of the viscosity and the decrease of the thermal expansion coefficient and the specific heat. It is clarified in the present study that the previous controversies between the numerical and experimental studies are owing to the different definitions of the Nusselt number.

야자계 입상 활성탄에 의한 brilliant green의 흡착 특성 : 평형, 동력학 및 열역학 파라미터에 관한 연구 (Adsorption Characteristics of Brilliant Green by Coconut Based Activated Carbon : Equilibrium, Kinetic and Thermodynamic Parameter Studies)

  • 이종집
    • 청정기술
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    • 제25권3호
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    • pp.198-205
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    • 2019
  • 야자계 입상활성탄에 대한 Brilliant Green의 흡착 평형과 동역학 및 열역학 파라미터들을 다양한 초기농도($300{\sim}500mg\;L^{-1}$), 접촉시간(1 ~ 12 h) 및 흡착온도(303 ~ 323 K)를 변수로 하여 회분식 실험을 통하여 연구하였다. 흡착평형 값들은 Langmuir, Freundlich, Temkin, Harkins-Jura 및 Elovich 식으로 해석하였다. 그 결과는 Langmuir 식에 가장 잘 맞았으며, 평가된 Langmuir 무차원 분리계수 값($R_L=0.018{\sim}0.040$)과 Freundlich 상수값(1/n = 0.176 ~ 0.206)은 활성탄에 의한 Brilliant Green의 흡착이 효과적인 공정임을 보여주었다. Temkin 식에 의해 평가된 흡착열 관련상수($B=12.43{\sim}17.15J\;mol^{-1}$)는 물리흡착에 해당하였다. Harkins-Jura 식에 의한 등온선 매개변수($A_{HJ}$)는 온도가 증가할수록 이종 기공 분포도 증가함을 나타내었고, Elovich 식에 의한 최대흡착용량은 실험값보다 매우 적은 것으로 나타났다. 흡착공정은 유사이차반응속도식에 더 잘 맞았으며, 흡착과정은 입자내 확산이 율속단계였다. 입자내 확산속도 상수는 초기 농도가 커질수록 염료의 운동이 활발해졌기 때문에 증가하였다. 그리고 초기농도가 커질수록 경계층의 영향이 커졌다. Gibbs 자유에너지($-3.46{\sim}-11.35kJ\;mol^{-1}$), 엔탈피($18.63kJ\;mol^{-1}$) 및 활성화에너지($26.28kJ\;mol^{-1}$)는 흡착공정이 자발적이고, 흡열 및 물리흡착임을 나타냈다.

Development and verification of PWR core transient coupling calculation software

  • Li, Zhigang;An, Ping;Zhao, Wenbo;Liu, Wei;He, Tao;Lu, Wei;Li, Qing
    • Nuclear Engineering and Technology
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    • 제53권11호
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    • pp.3653-3664
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    • 2021
  • In PWR three-dimensional transient coupling calculation software CORCA-K, the nodal Green's function method and diagonal implicit Runge Kutta method are used to solve the spatiotemporal neutron dynamic diffusion equation, and the single-phase closed channel model and one-dimensional cylindrical heat conduction transient model are used to calculate the coolant temperature and fuel temperature. The LMW, NEACRP and PWR MOX/UO2 benchmarks and FangJiaShan (FJS) nuclear power plant (NPP) transient control rod move cases are used to verify the CORCA-K. The effects of burnup, fuel effective temperature and ejection rate on the control rod ejection process of PWR are analyzed. The conclusions are as follows: (1) core relative power and fuel Doppler temperature are in good agreement with the results of benchmark and ADPRES, and the deviation between with the reference results is within 3.0% in LMW and NEACRP benchmarks; 2) the variation trend of FJS NPP core transient parameters is consistent with the results of SMART and ADPRES. And the core relative power is in better agreement with the SMART when weighting coefficient is 0.7. Compared with SMART, the maximum deviation is -5.08% in the rod ejection condition and while -5.09% in the control rod complex movement condition.

Robust Design for Showerhead Thermal Deformation

  • 공대위;김호준;이승무;원제형
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2014년도 제46회 동계 정기학술대회 초록집
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    • pp.150.1-150.1
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    • 2014
  • Showerhead is used as a main part in the semiconductor equipment. The face plate flatness should remain constant and the cleaning performance must be gained to keep the uniformity level of etching or deposition in chemical vapor deposition process. High operating temperature or long period of thermal loading could lead the showerhead to be deformed thermally. In some case, the thermal deformation appears very sensitive to showerhead performance. This paper describes the methods for robust design using computational fluid dynamics. To reveal the influence of the post distribution on flow pattern in the showerhead cavity, numerical simulation was performed for several post distributions. The flow structure appears similar to an impinging flow near a centered baffle in showerhead cavity. We took the structure as an index to estimate diffusion path. A robust design to reduce the thermal deformation of showerhead can be achieved using post number increase without ill effect on flow. To prevent the showerhead deformation by heat loading, its face plate thickness was determined additionally using numerical simulation. The face plate has thousands of impinging holes. The design key is to keep pressure drop distribution on the showerhead face plate with the holes. This study reads the methodology to apply to a showerhead hole design. A Hagen-Poiseuille equation gives the pressure drop in a fluid flowing through such hole. The assumptions of the equation are the fluid is viscous-incompressible and the flow is laminar fully developed in a through hole. An equation can be expressed with radius R and length L related to the volume flow rate Q from the Hagen-Poiseuille equation, $Q={\pi}R4{\Delta}p/8{\mu}L$, where ${\mu}$ is the viscosity and ${\Delta}p$ is the pressure drop. In present case, each hole has steps at both the inlet and the outlet, and the fluid appears compressible. So we simplify the equation as $Q=C(R,L){\Delta}p$. A series of performance curves for a through hole with geometric parameters were obtained using two-dimensional numerical simulation. We obtained a relation between the hole diameter and hole length from the test cases to determine hole diameter at fixed hole length. A numerical simulation has been performed as a tool for enhancing showerhead robust design from flow structure. Geometric parameters for the design were post distribution and face plate thickness. The reinforced showerhead has been installed and its effective deposition profile is being shown in factory.

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농업시스템응용플랫폼을 이용한 2계 편미분 방정식의 해석 (Numerical Solution of Second Order Linear Partial Differential Equations using Agricultural Systems Application Platform)

  • 이성용;김태곤;서교;한이철;이제명;이호재;이정재
    • 한국농공학회논문집
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    • 제58권1호
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    • pp.81-90
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    • 2016
  • The Agricultural Systems Application Platform (ASAP) provides bottom-up modelling and simulation environment for agricultural engineer. The purpose of this study is to expand usability of the ASAP to the second order partial differential equations: elliptic equations, parabolic equations, and hyperbolic equations. The ASAP is a general-purpose simulation tool which express natural phenomenon with capsulized independent components to simplify implementation and maintenance. To use the ASAP in continuous problems, it is necessary to solve partial differential equations. This study shows usage of the ASAP in elliptic problem, parabolic problem, and hyperbolic problem, and solves of static heat problem, heat transfer problem, and wave problem as examples. The example problems are solved with the ASAP and Finite Difference method (FDM) for verification. The ASAP shows identical results to FDM. These applications are useful to simulate the engineering problem including equilibrium, diffusion and wave problem.

나노유체를 이용한 평판형 태양열 집열기의 효율에 관한 연구 (Study on Efficiency of Flat-Plate Solar Collector Using Nanofluids)

  • 이승현;장석필
    • 대한기계학회논문집B
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    • 제37권9호
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    • pp.799-805
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    • 2013
  • 본 논문에서는 나노유체를 사용한 평판형 집열기의 효율을 예측하기 위한 이론적인 연구를 수행하였다. 평판형 태양열 집열기 내부의 온도분포에 관한 해석적 해를 구하기 위해 무차원화된 2 차원 열 확산방정식을 풀었으며, 이 과정에서 흡광계수와 복사강도는 파장에 독립적이라고 가정하였다. 이렇게 주어진 식을 바탕으로, 물-기반 단일벽 탄소나노혼 나노유체를 작동유체로 사용할 경우 나노입자의 부피비, 열손실의 크기, 집열기의 높이에 따른 무차원 온도분포를 파악해 보았다. 마지막으로 나노유체 기반 평판형 집열기의 효율을 예측해 본 결과 일정 형상조건 이내에서 나노유체 태양열 집열기가 기존 집열기 보다 높은 효율을 가질 수 있음을 파악하였다.

An improved 1D-model for computing the thermal behaviour of concrete dams during operation. Comparison with other approaches

  • Santillan, D.;Saleteb, E.;Toledob, M.A.;Granados, A.
    • Computers and Concrete
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    • 제15권1호
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    • pp.103-126
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    • 2015
  • Thermal effects are significant loads for assessing concrete dam behaviour during operation. A new methodology to estimate thermal loads on concrete dams taking into account processes which were previously unconsidered, such as: the evaporative cooling, the night radiating cooling or the shades, has been recently reported. The application of this novel approach in combination with a three-dimensional finite element method to solve the heat diffusion equation led to a precise characterization of the thermal field inside the dam. However, that approach may be computationally expensive. This paper proposes the use of a new one-dimensional model based on an explicit finite difference scheme which is improved by means of the reported methodology for computing the heat fluxes through the dam faces. The improved model has been applied to a case study where observations from 21 concrete thermometers and data of climatic variables were available. The results are compared with those from: (a) the original one-dimensional finite difference model, (b) the Stucky-Derron classical one-dimensional analytical solution, and (c) a three-dimensional finite element method. The results of the improved model match well with the observed temperatures, in addition they are similar to those obtained with (c) except in the vicinity of the abutments, although this later is a considerably more complex methodology. The improved model have a better performance than the models (a) and (b), whose results present larger error and bias when compared with the recorded data.

The Formation and Crystallization of Amorphous Ti50Cu50Ni20Al10 Powder Prepared by High-Energy Ball Milling

  • Viet, Nguyen Hoang;Kim, Jin-Chun;Kim, Ji-Soon;Kwon, Young-Soon
    • 한국분말재료학회지
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    • 제16권1호
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    • pp.9-15
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    • 2009
  • Amorphization and crystallization behaviors of $Ti_{50}Cu_{50}Ni_{20}Al_{10}$ powders during high-energy ball milling and subsequent heat treatment were studied. Full amorphization obtained after milling for 30 h was confirmed by X-ray diffraction and transmission electron microscope. The morphology of powders prepared using different milling times was observed by field-emission scanning electron microscope. The powders developed a fine, layered, homogeneous structure with prolonged milling. The crystallization behavior showed that the glass transition, $T_g$, onset crystallization, $T_x$, and super cooled liquid range ${\Delta}T=T_x-T_g$ were 691,771 and 80 K, respectively. The isothermal transformation kinetics was analyzed by the John-Mehn-Avrami equation. The Avrami exponent was close to 2.5, which corresponds to the transformation process with a diffusion-controlled type at nearly constant nucleation rate. The activation energy of crystallization for the alloy in the isothermal annealing process calculated using an Arrhenius plot was 345 kJ/mol.

Differential Scanning Calorimetry (DSC)를 이용한 유리섬유 Bisphenol-A(BPA)계 에폭시 프리프레그의 경화 반응 속도 연구 (Study of the Curing Reaction Rate of a Glass Fiber Reinforced Bisphenol-A (BPA) Epoxy Prepreg by Differential Scanning Calorimetry (DSC))

  • 권현진;박희정;이은주;구상민;김선홍;이기윤
    • Composites Research
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    • 제31권1호
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    • pp.30-36
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    • 2018
  • 본 연구에서는 시차주사열량계(differential scanning calorimetry, DSC)를 이용하여 유리섬유로 보강된 BPA계 에폭시 프리프레그의 경화 거동을 확인하였다. 기지재로 사용된 에폭시 수지의 전체 발열량(${\Delta}H_{total}=280.3J/g$)을 측정하기 위해 승온 실험을 하였다. $110{\sim}130^{\circ}C$ 등온 조건에서 측정된 발열량을 통해 높은 온도 조건일수록 최대 전환율과 최대 반응 속도가 증가하는 것을 확인하였다. 또한, 에폭시 프리프레그의 자기 촉매 반응을 해석하기 위해 Kamal 방정식을 적용하였으며 높은 온도 조건에서 반응 속도 상수($k_1$, $k_2$)가 큰 값으로 나타났다. 이때 얻어진 반응 속도 상수를 이용해 계산한 이론 추정치와 실험치를 비교한 결과 잘 부합하는 것을 확인하였다. 반응 초기에는 두 값이 유사하나 반응이 최종 단계에서는 반응 속도가 확산에 의해 결정되는 현상으로 인해 반응 속도의 실험치가 이론 추정치보다 더 작은 반응 속도 값을 가짐을 확인하였다.