• 제목/요약/키워드: Gradient Diffusion Equation

검색결과 39건 처리시간 0.024초

열교환기 휜에서의 착상 거동 (Behavior of frost formed on heat exchanger fins)

  • 김정수;이관수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회B
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    • pp.2334-2339
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    • 2008
  • This paper proposes an improved mathematical model for predicting the frosting behavior on a two-dimensional fin considering the heat conduction of heat exchanger fins under frosting conditions. The model consists of laminar flow equation in airflow, diffusion equation of water vapor for frost layer, and heat conduction equation in fin, and these are coupled together. In this model, the change in three-dimensional airside airflow caused by frost growth is accounted for. The fin surface temperature increased toward the fin tip due to the fin heat conduction. On the contrary, the temperature gradient in the airflow direction(x-dir.) is small throughout the entire fin. The frost thickness in the direction perpendicular to airflow, i.e. z-dir., decreases exponentially toward the fin tip due to non-uniform temperature distribution. The rate of decrease of heat transfer in the airflow direction is high compared to that in the z-direction due to more decrease in the sensible and latent heat rate in x-direction.

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Numerical simulation of single-phase two-components flow in naturally fractured oil reservoirs

  • Debossam, Joao Gabriel Souza;dos Santos Heringer, Juan Diego;de Souza, Grazione;Souto, Helio Pedro Amaral
    • Coupled systems mechanics
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    • 제8권2호
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    • pp.129-146
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    • 2019
  • The main goal of this work is to develop a numerical simulator to study an isothermal single-phase two-component flow in a naturally fractured oil reservoir, taking into account advection and diffusion effects. We use the Peng-Robinson equation of state with a volume translation to evaluate the properties of the components, and the discretization of the governing partial differential equations is carried out using the Finite Difference Method, along with implicit and first-order upwind schemes. This process leads to a coupled non-linear algebraic system for the unknowns pressure and molar fractions. After a linearization and the use of an operator splitting, the Conjugate Gradient and Bi-conjugated Gradient Stabilized methods are then used to solve two algebraic subsystems, one for the pressure and another for the molar fraction. We studied the effects of fractures in both the flow field and mass transport, as well as in computing time, and the results show that the fractures affect, as expected, the flow creating a thin preferential path for the mass transport.

대기오염모델에서의 이류방정식에 대한 수치적 방법의 비교 (A Comparison of Numerical Methods for the Advection Equation for Air Pollution Models)

  • 심상규;박영산
    • 한국대기환경학회지
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    • 제8권3호
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    • pp.162-168
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    • 1992
  • Numerical solutions to the advection equations used for long-range transport air pollution models are calculated using three numerical methods; Antidiffusion correction method(Smolarkiewicz, 1983), Positive definite advecton scheme obtained by nonlinear renormalization of the advective fluxes(Bott, 1989), and Positive definite pseudospectral method(Bartnicki, 1989). Accuracy, numerical diffusion and computational time requirement are compared for two-dimensional transport calculations in a uniform rotational flow field. The solutions from three methods are positive definite. Bartnicki(1989)'s method is most conservative but requires approximately 10 times as much computational time as Smolarkiewicz(1983)'s method of which numerical diffusion is the largest. All three methods are more conservative for a cone shape initial condition than for a rectangular block initial condition with a steep gradient.

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LONG-TIME BEHAVIOR OF SOLUTIONS TO A NONLOCAL QUASILINEAR PARABOLIC EQUATION

  • Thuy, Le Thi;Tinh, Le Tran
    • 대한수학회논문집
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    • 제34권4호
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    • pp.1365-1388
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    • 2019
  • In this paper we consider a class of nonlinear nonlocal parabolic equations involving p-Laplacian operator where the nonlocal quantity is present in the diffusion coefficient which depends on $L^p$-norm of the gradient and the nonlinear term is of polynomial type. We first prove the existence and uniqueness of weak solutions by combining the compactness method and the monotonicity method. Then we study the existence of global attractors in various spaces for the continuous semigroup generated by the problem. Finally, we investigate the existence and exponential stability of weak stationary solutions to the problem.

광기록매체용 Ge-Sb-Te 다층 박막의 광학적 특성 및 열전달 특성 (Optcal and thermal diffusion properties of Ge-Sb-Te multi-layered thin films for optical recording media)

  • 김도형;김상준;김상열;안성혁
    • 한국광학회지
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    • 제12권5호
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    • pp.394-400
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    • 2001
  • 다층 박막에서의 빛의 반사와 흡수 및 열전달 방정식을 수치해석적으로 풀어 광기록매체용 다층 박막의 광학적 특성과 열전달 특성을 알아보고 이 두 특성들을 모두 고려하여 광기록에 적합한 레이저의 출력 및 지속시간, 다층 박막 구조 상수를 제시하였다. 그 결과 레이저는 650 nm 파장을 기준으로 출력 18mW, 지속 시간 60 nm가 적당하였으며 박막 구조 상수는 ZnS-SiO$_2$140nm, Ge-Sb-Te 20 nm, ZnS-SiO$_2$20~30nm, Al-alloy 100~150 nm가 적당하였다.

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Variation of Oxygen Nonstoichiometry of Porous $La_{0.6}Ca_{0.4}MnO_{3-{\delta}}$ SOFC-Cathode under Polarization

  • Mizusaki, Junichiro;Harita, Hideki;Mori, Naoya;Dokiya, Masayuki;Tagawa, Hiroaki
    • The Korean Journal of Ceramics
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    • 제6권2호
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    • pp.177-182
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    • 2000
  • At the porous $La_{0.6}Ca_{0.4}MnO_{3-{\delta}}$(LCM)/YSZ electrodes of solid oxide fuel cells (SOFC), the electrochemical redox reaction of oxygen proceeds via the triple boundary (TPB) of gas/LCM/YSZ. The surface diffusion of adsorbed oxygen on LCM has been proposed as the rate determining process, assuming the gradient of oxygen chemical potential from the outer surface of porous layer to TPB. Along with the formation of this gradient, oxygen nonstoichiometry in the bulk of LCM may varies. In this paper, an electrochemical technique was described precisely to determine the variation of oxygen content in LCM of porous LCM/YSZ under polarization. It was shown that the oxygen potential in LCM layer under large cathodic polarization is much lower than that in the gas phase, being determined from the electrode potential and Nernst equation.

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해양 폭로 환경에 따른 GGBFS 콘크리트의 겉보기 염화물 확산계수 비교 (The Comparison of Apparent Chloride Diffusion Coefficients in GGBFS Concrete Considering Sea Water Exposure Conditions)

  • 윤용식;정기찬;권성준
    • 한국구조물진단유지관리공학회 논문집
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    • 제26권2호
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    • pp.18-27
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    • 2022
  • 본 연구에서는 해양 폭로 조건과 배합 사항을 고려하여 GGBFS 콘크리트의 시간의존적 염화물 확산 거동을 분석하였다. 사용 콘크리트 배합은 3 수준의 물-결합재 비 및 고로슬래그 미분말 치환률을 고려한 콘크리트 배합이며 노출 조건으로는 침지대, 간만대, 비말대 총 3 수준을 고려하여 옥외 폭로 시험을 수행하였다. 겉보기 염화물 확산계수 평가 결과, 고로슬래그 미분말의 치환률이 증가할수록 노출 기간 730일(2년)을 기준으로 평가한 확산계수의 감소율이 감소하였다. 또한 노출 조건에 따른 확산거동을 평가한 결과, 침지대, 간만대, 비말대 순으로 확산계수가 평가되었다. 비말대에서는 해수의 건습 반복으로 인해 비교적 높은 확산계수가 평가되었다. 본 연구에서는 고로슬래그 미분말 치환률이 겉보기 염화물 확산계수 감소 거동에 미치는 영향을 노출 조건 및 기간을 고려하여 분석하였다. 확산계수를 출력 값으로, 고로슬래그를 입력 값으로 설정한 선형 회귀분석을 수행하였으며, 노출 기간 730일 이후 고로슬래그 미분말이 확산계수에 미치는 영향이 크게 감소하였다. OPC 콘크리트라 할지라도 730일 이후 GGBFS 콘크리트 만큼 낮은 확산계수를 나타냈기 때문이며 고로슬래그 미분말의 사용을 통해 730일 이전에 뛰어난 초기 염해 내구성능 확보가 가능하다고 사료된다.

Statistical Analysis on the trapping boundary of outer radiation belt during geosynchronous electron flux dropout : THEMIS observation

  • 황정아;이대영;김경찬;최은진;신대규;김진희;조정희
    • 천문학회보
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    • 제37권1호
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    • pp.90.2-90.2
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    • 2012
  • Geosynchronous electron flux dropouts are most likely due to fast drift loss of the particles to the magnetopause (or equivalently, the "magnetopause shadowing effect"). A possible effect related to the drift loss is the radial diffusion of PSD due to gradient of PSD set by the drift loss effect at an outer L region. This possibly implies that the drift loss can affect the flux levels even inside the trapping boundary. We recently investigated the details of such diffusion process by solving the diffusion equation with a set of initial and boundary conditions set by the drift loss. Motivated by the simulation work, we have examined observationally the energy spectrum and pitch angle distribution near trapping boundary during the geosynchronous flux dropouts. For this work, we have first identified a list of geosynchronous flux dropout events for 2007-2010 from GOES satellite electron measurements and solar wind pressures observed by ACE satellite. We have then used the electron data from the Time History of Events and Macroscale Interactions during Substorms (THEMIS) spacecraft measurements to investigate the particle fluxes. The five THEMIS spacecraft sufficiently cover the inner magnetospheric regions near the equatorial plane and thus provide us with data of much higher spatial resolution. In this paper, we report the results of our investigations on the energy spectrum and pitch angle distribution near trapping boundary during the geosynchronous flux dropout events and discuss implications on the effects of the drift loss on the flux levels at inner L regions.

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에탄올 수용액의 Pervaporation에서의 투과거동 (A Permeation Behavior for the Pervaporation of Aqueous Ethanol Solution)

  • 배성렬;이한선;황성민;김희택;히데히로 구마자와
    • 공업화학
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    • 제5권1호
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    • pp.127-138
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    • 1994
  • CTA(cellulose triacetate) 막을 이용한 물과 에탄올의 투과증발(pervaporation) 막분리에서 수착과 투과실험으로부터 용해-확산 투과기구modeling 및 그 함수형과 parameters에 대한 해석을 시도하였다. 순성분들의 수착 data를 사용하여 Flory-Huggins 식으로 계산한 3 성분계(에탄올/물/CTA) 수착평형 조성을 추산하여 실측치와 비교하였다. 막 내부의 조성과 액상의 평형 조성간에 열역학적 평형 관계식을 적용하기 위해 막 내 겉보기 활동도를 Wilson식과 Van Laar식으로 상관시켰다. 투과속도식은 한 성분의 투과속도가 그 성분의 막 내 농도구배에 비례하며, 또한 확산계수의 농도 의존성이 에탄올 농도만의 지수함수라고 가정하여 물과 에탄을 투과속도를 계산하였으며 이는 실측치와 잘 일치하였다. 한 성분의 투과속도와 수착량이 다른 성분에 비해 현저히 작은 경우에는 대류항을 무시할 수 없음을 알았고, 온도가 높고, 투과측 압력이 낮을수록 투과속도와 투과선택도가 증가하였다.

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Comparison of the PSD radial profiles between before and after geosynchronous flux dropout: case studies using THEMIS observations

  • 황정아;이대영;김경찬;최은진;신대규;김진희;조정희
    • 천문학회보
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    • 제37권2호
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    • pp.122-122
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    • 2012
  • Geosynchronous electron flux dropouts are most likely due to fast drift loss of the particles to the magnetopause (or equivalently, the "magnetopause shadowing effect"). A possible effect related to the drift loss is the radial diffusion of PSD due to gradient of PSD set by the drift loss effect at an outer L region. This possibly implies that the drift loss can affect the flux levels even inside the trapping boundary. We recently investigated the details of such diffusion process by solving the diffusion equation with a set of initial and boundary conditions set by the drift loss. Motivated by the simulation work, we have examined observationally the energy spectrum and pitch angle distribution near trapping boundary during the geosynchronous flux dropouts. For this work, we have first identified a list of geosynchronous flux dropout events for 2007-2010 from GOES satellite electron measurements and solar wind pressures observed by ACE satellite. We have then used the electron data from the Time History of Events and Macroscale Interactions during Substorms (THEMIS) spacecraft measurements to investigate the particle fluxes. The five THEMIS spacecraft sufficiently cover the inner magnetospheric regions near the equatorial plane and thus provide us with data of much higher spatial resolution. In this paper, we report some case studies showing energy dependence during magnetopause shadowing effect.

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