• 제목/요약/키워드: porous medium equation

검색결과 37건 처리시간 0.023초

고 다공성 물질에서 열 및 물질전달 (Heat and Mass Transfer in Highly Porous Media)

  • 이금배
    • 대한기계학회논문집
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    • 제14권3호
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    • pp.685-693
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    • 1990
  • 본 연구에서는 복사열전달 효과를 알아보기 위해 에너지 방정식을 수치적으로 풀었으며, 그 결과를 열전달계수 및 온도의 항으로 나타내었다. 수치 해석적 모델의 검증을 위해 여러사람들이 물질전달과정 해석을 위해 사용한 나프타린 승화법(naphth- alene sublimation technique)을 이용하여 실험을 수행하였다. 또한 실험에 사용된 다공질체(ceramic blocks)의 침투율도 측정하였다.

수분회수 냉각탑에 적용되는 중공사막 모듈의 유동특성에 관한 수치해석적 연구 (Numerical Study on Flow Characteristics of Hollow Fiber Membrane Module for Water Recovery Cooling Tower)

  • 박상철;박현설;이형근;신원규
    • 대한기계학회논문집B
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    • 제41권8호
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    • pp.537-544
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    • 2017
  • 본 연구의 목적은 수분회수 냉각탑에 설치된 엇갈림(staggered) 형태로 배치된 중공사막 모듈을 다공성 매질(porous medium)로 모델링 시 유동특성을 수치 해석적으로 검토하는 것이다. 1단으로 설치된 중공사막 모듈의 차압 데이터를 이용하여 다공성 매질의 모델링을 위한 압력-속도 2차 식을 도출하였다. 중공사막 모듈을 다공성 매질로 모델링한 경우 ("다공성 매질")와 중공사막 모듈의 형상을 그대로 고려한 경우 ("멤브레인 모듈")에 대해 유동 특성을 비교하였다. "다공성 매질"의 경우 "멤브레인 모듈"에 비해 유동에 의한 압력 변화는 0.6 % 미만의 적은 차이를 나타냈으나, 최대 유속은 약 2.5배, 평균 난류 운동에너지는 95배로 크게 나타났다. 이를 통해 다공성 매질로의 모델링은 압력강하는 잘 구현하나, 유속 및 난류 운동에너지는 잘 모사하지 못함을 알 수 있었다.

다공성 매질 접근법을 적용한 하이브리드 로켓 N2O 촉매 점화기의 열적 현상 (Thermal Phenomena of an N2O Catalyst Bed for Hybrid Rockets Using a Porous Medium Approach)

  • 유우준;김수종;김진곤;장석필
    • 한국항공우주학회지
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    • 제34권9호
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    • pp.89-96
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    • 2006
  • 본 연구에서는 소형 위성용 하이브리드 로켓 점화장치에 적용되는 N2O 촉매 베드의 유동 및 열적 현상에 대한 이론적인 고찰을 하였다. 허니콤 형상을 가지는 촉매 베드 내의 열적 현상을 분석하기 위해서 다공성 매질 접근법을 사용하였다. 유동장은 Brinkman- extended Darcy 모델을 사용하였고, 온도장은 One-equation 모델을 사용하여 촉매 베드 내에서 유동장 및 온도장에 대한 해석해들을 구하였다. 다공성 매질 접근법을 적용한 모델의 해석해와 기존 실험결과를 비교하여 본 모델의 정확성을 검증하였다. 해석해에 근거하여 N2O 촉매 베드에 영향을 미치는 중요한 변수들이 촉매 베드의 기공률, 유효 체적비, 촉매 베드와 기공의 직경비, 공급열, 그리고 펌핑파워임을 확인하였으며 촉매 베드 내에서의 열적현상에 대한 중요 변수들의 효과를 연구하였다.

Resonance analysis of cantilever porous graphene platelet reinforced pipe under external load

  • Huang, Qinghua;Yu, Xinping;Lv, Jun;Zhou, Jilie;Elvenia, Marischa Ray
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.409-423
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    • 2022
  • Nowadays, there is a high demand for great structural implementation and multifunctionality with excellent mechanical properties. The porous structures reinforced by graphene platelets (GPLs) having valuable properties, such as heat resistance, lightweight, and excellent energy absorption, have been considerably used in different engineering implementations. However, stiffness of porous structures reduces significantly, due to the internal cavities, by adding GPLs into porous medium, effective mechanical properties of the porous structure considerably enhance. This paper is relating to vibration analysis of fluidconveying cantilever porous graphene platelet reinforced (GPLR) pipe with fractional viscoelastic model resting on foundations. A dynamical model of cantilever porous GPLR pipes conveying fluid and resting on a foundation is proposed, and the vibration, natural frequencies and primary resonant of such a system are explored. The pipe body is considered to be composed of GPLR viscoelastic polymeric pipe with porosity in which Halpin-Tsai scheme in conjunction with the fractional viscoelastic model is used to govern the construction relation of nanocomposite pipe. Three different porosity distributions through the pipe thickness are introduced. The harmonic concentrated force is also applied to the pipe and the excitation frequency is close to the first natural frequency. The governing equation for transverse motions of the pipe is derived by the Hamilton principle and then discretized by the Galerkin procedure. In order to obtain the frequency-response equation, the differential equation is solved with the assumption of small displacement, damping coefficient, and excitation amplitude by the multiple scale method. A parametric sensitivity analysis is carried out to reveal the influence of different parameters, such as nanocomposite pipe properties, fluid velocity and nonlinear viscoelastic foundation coefficients, on the primary resonance and linear natural frequency. Results indicate that the GPLs weight fraction porosity coefficient, fractional derivative order and the retardation time have substantial influences on the dynamic response of the system.

Electrochemical Ionic Mass Transfer Correlation in Fluid-Saturated Porous Layer

  • Cho, Eun Su
    • Korean Chemical Engineering Research
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    • 제53권6호
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    • pp.814-817
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    • 2015
  • A new ionic mass transfer correlation is derived for the fluid-saturated, horizontal porous layer. Darcy-Forchheimer model is used to explain characteristics of fluid motion. Based on the microscales of turbulence a backbone mass transfer relation is derived as a function of the Darcy-Rayleigh number, $Ra_D$ and the porous medium Schmidt number, $Sc_p$. For the Darcy's limit of $Sc_p{\gg}Ra_D$, the Sherwood number, Sh is a function of $Ra_D$ only. However, for the region of high $Ra_D$, Sh can be related with $Ra_DSc_p$. Based on the present backbone equation and the electrochemical mass transfer experiments which are electro plating or electroless plating, the new ionic mass transfer correlation is suggested in the porous media.

LTNE 모델을 이용한 다공성 채널 입구영역에서의 열전달 특성 해석 (Analysis of Heat Transfer Characteristics in the Thermally Developing Region of a Porous Channel by LTNE Model)

  • 이상태;이관수;김서영
    • 대한기계학회논문집B
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    • 제26권7호
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    • pp.983-990
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    • 2002
  • A numerical analysis has been carried out on forced convection heat transfer in the developing region of a porous channel. The channel is filled with an isotropic porous medium. At the channel walls, a uniform heat flux is given. Comprehensive numerical solutions are acquired to the Brinkman-Forchheimer extended Darcy equation and the LTNE model which does not employ the assumption of local thermal equilibrium between solid and fluid phases. Details of thermal fields in the developing region are examined over wide ranges of the thermal parameters. The numerical solutions at the fully developed region are compared with the previous analytical solutions. The correlation for predicting local Nusselt number in a porous channel is proposed.

EFFECT OF POROSITY ON THE TRANSIENT MHD GENERALIZED COUETTE FLOW WITH HEAT TRANSFER IN THE PRESENCE OF HEAT SOURCE AND UNIFORM SUCTION AND INJECTION

  • Attia, Hazem Ali;Ewis, Karem Mahmoud;Awad-Allah, Nabil Ahmed
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제16권2호
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    • pp.125-135
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    • 2012
  • The transient magnetohydrodynamic (MHD) generalized Couette flow with heat transfer through a porous medium of an electrically conducting, viscous, incompressible fluid bounded by two parallel insulating porous plates is studied in the presence of uniform suction and injection and a heat source considering the Hall effect. A uniform and constant pressure gradient is imposed in the axial direction and an externally applied uniform magnetic field as well as a uniform suction and injection are applied in the direction perpendicular to the plates. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the Hall current, the porosity of the medium and the uniform suction and injection on both the velocity and temperature distributions is investigated.

Study on dryout heat flux of axial stratified debris bed under top-flooding

  • Wenbin Zou;Lili Tong;Xuewu Cao
    • Nuclear Engineering and Technology
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    • 제56권2호
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    • pp.636-643
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    • 2024
  • The coolability of the debris bed with a simulant of solidified corium is experimentally studied, focusing on the effects of the structure of the axial stratified debris bed on the dryout heat flux (DHF). DHF was obtained for the four structures with different particle sizes for the axial stratified debris bed under top flooding. The experimental results show that the dryout position of the axial stratified debris bed is formed at the stratified interface indicated by the temperature rise, and the DHF of the axial stratified bed is much lower than that of the homogeneous bed packed with the upper small particles. To predict the dryout heat flux of the stratified debris beds, by considering the properties of the mixed area, a one-dimensional dryout heat flux model of the porous medium is derived from a water and vapor momentum equation for porous medium, two-phase permeability modifications, interfacial drag, and the correlation between capillary pressure and liquid saturation and verified with the experimental data. The modified model can give reasonable results under different structures.

과냉각을 동반한 동결과정의 수치해석 (Numerical Analysis for Cooling and Freezing Processes with Subcooling)

  • 윤정인;김재돌;김성규
    • 설비공학논문집
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    • 제8권4호
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    • pp.451-462
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    • 1996
  • In this study, which focuses on ice storage, a fundamental study in cooling and solidification was performed, including the interesting phenomena of density inversion, supercooling and dendritic ice. A numerical study was performed for natural convection and ice formation considering existence of subcooling and dendritic ice were analyzed numerically by using finite difference method and boundary fixing method. In the mesh, the solid fraction was introduced with adding as a term to the energy conservation equation. A flow in the dendrite was modelled as a flow in a porous medium, and the momentum conservation equation was modified to incorporate resistance forces involved in flows through porous media. A numerical solution of the time dependencies of dendrite area and dense ice front was successfully obtained, and the numerical results were good agreement with experimental results. Based on this methodology, a discussion was made of phenomena and characteristics of cooling and freezing processes under various conditions.

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THE EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO p-LAPLACE EQUATION WITH PERIODIC BOUNDARY CONDITIONS

  • Chen, Taiyong;Liu, Wenbin;Zhang, Jianjun;Zhang, Huixing
    • Journal of applied mathematics & informatics
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    • 제27권3_4호
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    • pp.933-941
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    • 2009
  • In this paper, we consider p-Laplace equation which models the turbulent flow in a porous medium. Using a continuation principle (cf. [R. $Man{\acute{a}}sevich$ and J. Mawhin, Periodic solutions for nonlinear systems with p-Lplacian-like operators, J. Diff. Equa. 145(1998), 367-393]), we prove the existence of solutions for p-Laplace equation subject to periodic boundary conditions, under some sign and growth conditions for f. With the help of Leray-Schauder degree theory, the multiplicity of periodic solutions for p-Laplace equation is obtained under the similar conditions above and some known results are improved.

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