• Title/Summary/Keyword: Porous model

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Transport of Zinc Ion in a Contained Liquid Membrane Permeator with Two Micro-Porous Films (지지막을 이용하는 액막 추출기 내에서 아연 이온의 이동)

  • 주창식;이석희;이민규;홍성수;하홍두;정석기
    • Journal of Environmental Science International
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    • v.9 no.2
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    • pp.159-164
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    • 2000
  • For the purpose of development of a liquid membrane permeator which separates metal ions from aqueous solutions continuously and effectively, a continuous membrane permeator with the membrane solution trapped between extraction and stripping phases by two micro-porous hydrophilic films was manufactured. Experimental researches on the separation of zinc ion from aqueous solutions were performed in the liquid membrane permeator with 30 vol % D2EHPA solution in kerosine as liquid membrane. As results, the liquid membrane permeator separates zinc ion from aqueous solutions continuously and effectively in the wide range of operating conditions. A simple mass transfer rate model using equilibrium constant of the extraction reaction for the system used were proposed, and the model was compared with experimental results of separation of zinc ion in the permeator. And the effects of operating factors, such as space time, pH of extraction solution, extraction temperature, on the separation rate of zinc ion in the permeator were experimentally examined.

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Modeling of sulfate ionic diffusion in porous cement based composites: effect of capillary size change

  • Gospodinov, Peter N.
    • Computers and Concrete
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    • v.4 no.2
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    • pp.157-166
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    • 2007
  • The paper considers a theoretical model to study sulfate ion diffusion in saturated porous media - cement based mineral composites, accounting for simultaneous effects, such as filling micro-capillaries (pores) with ions and chemical products and liquid push out of them. Pore volume change and its effect on the distribution of ion concentration within the specimen are investigated. Relations for the distribution of the capillary relative radius and volume within the composite under consideration are found. The numerical algorithm used is further completed to consider capillary size change and the effects accompanying sulfate ion diffusion. Ion distribution within the cross section and volume of specimens fabricated from mineral composites is numerically studied, accounting for the change of material capillary size and volume. Characteristic cases of 2D and 3D diffusion are analyzed. The results found can be used to both assess the sulfate corrosion in saturated systems and predict changes occurring in the pore structure of the composite as a result of sulfate ion diffusion.

Heat Transfer Optimization in a Tube with Circular-Sectored Fins (원관내 부채꼴 휜 주위에서의 열전달 최적화)

  • Yoo, Jae-Wook;Kim, Sung-Jin;Hyun, Jae-Min
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.57-64
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    • 2000
  • The present work investigates the heat transfer characteristics for laminar fully developed forced convection in an internally finned tube with axially uniform heat flux and peripherally uniform temperature through analytical models of convection in a porous medium. Using the Brinkman-extended Darcy flow model and the two equation model fur heat transfer, analytical solutions fur fluid flow and heat transfer are obtained and compared with the exact solution for fluid flow and the numerical solutions for conjugate heat transfer to validate the porous medium approach. Using the analytical solutions, parameters of engineering importance are identified and their effects on fluid flow and heat transfer are studied. Also, the expression fur total thermal resistance is derived from the analytical solutions and minimized in order to optimize the thermal performance of the internally finned tubes.

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Application of Porous Medium Theory in Slope Stability Analysis (다공체 이론을 사용한 사면안정해석)

  • 서영교
    • Journal of the Korean Geotechnical Society
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    • v.17 no.2
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    • pp.135-142
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    • 2001
  • 사면안정해석을 위해 다공체(porous medium) 이론이 제시되었다. 다공체 이론은 간극수압, 토질입자 및 간극수의 상호작용을 포함하는 여러 가지 지반관련 문제의 이해에 있어 매우 중요하다. 이러한 상호작용은 토질강도 및 변형에 중요한 영향을 미친다. 압밀 예제로서 이러한 모델의 정확도를 첫째로 검증하였다. 사면안정해석에 있어서 토질의 응력 및 강도는 일반적인 구성모델을 포함한 비선형 유한요소해석을 사용하여 정확히 계산되었다. 사면안정해석은 한계상태를 표시하는 파괴면이 나타날 때까지 점차적인 중력의 증가로 실행되었다. 안전율은 증가시킨 중력과 실제사면 중력의 비로서 계산되었다. 제시된 사면 안정 해석 방법의 자세한 사항은 예제를 통하여 설명되었다.

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Bending and buckling of a rectangular porous plate

  • Magnucki, K.;Malinowski, M.;Kasprzak, J.
    • Steel and Composite Structures
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    • v.6 no.4
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    • pp.319-333
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    • 2006
  • A rectangular plate made of a porous material is the subject of the work. Its mechanical properties vary continuously on the thickness of a plate. A mathematical model of this plate, which bases on nonlinear displacement functions taking into account shearing deformations, is presented. The assumed displacement field, linear geometrical and physical relationships permit to describe the total potential energy of a plate. Using the principle of stationarity of the total potential energy the set of five equilibrium equations for transversely and in-plane loaded plates is obtained. The derived equations are used for solving a problem of a bending simply supported plate loaded with transverse pressure. Moreover, the critical load of a bi-axially in-plane compressed plate is found. In both cases influence of parameters on obtained solutions such as a porosity coefficient or thickness ratio is analysed. In order to compare analytical results a finite element model of a porous plate is built using system ANSYS. Obtained numerical results are in agreement with analytical ones.

A Study on Heat Recovery Characteristics of Porous Media According to Periodic Oscillating Flows (주기적 왕복유동에 의한 축열매체의 열회수 특성에 관한 연구)

  • Han, Hwa-Taik;Shin, Min-Woo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.19 no.2
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    • pp.175-182
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    • 2007
  • The objective of the present study is to investigate the heat storage characteristics of a packed bed according to periodically oscillating flows. Experiments have been performed to measure transient temperature distributions in solid and fluid Phases of the porous media. A simplified analytical model has been developed with intra-particle and dispersion effects neglected, and non-dimensional parameters have been derived. The transient temperature distributions according to the simplified numerical model agree well with the experimental results. Heat storage efficiencies defined in two different ways are obtained for various time periods and face velocities.

Bend Deformation Behavior of Silicon Carbide Reticulated Porous Ceramics

  • Zhu, Xinwen;Sakka, Yoshio;Tan, Shouhong;Jiang, Dongliang
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09a
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    • pp.608-609
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    • 2006
  • The deformation behavior under three-point bend test was found to depend on the loading uniformity and the macrostructure for SiC reticulated porous ceramics (RPCs). However, this dependence of loading uniformity is alleviated by improved macrostructure with fewer flaws and clogged pores. Even, this dependence becomes less important as the struts become thicker and stronger. The bend result of RPCs with highly uniform macrostructure is in excellent agreement with the GA (Gibson and Ashby) model, but the one with un-uniform macrostructure deviates from the GA model, suggesting that the macrostructure plays an important role in deformation behavior of RPCs under bend.

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Sound Propagation in Circular Duct Lined with Elastic Porous Noise Control Materials (소음제어용 탄성다공물질이 대어진 원형덕트 내의 음파전달)

  • 정인화;강연준
    • Journal of KSNVE
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    • v.9 no.2
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    • pp.302-309
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    • 1999
  • In this paper, a circular lined-duct is modeled by using an axisymmetric foam finite element, which is based on elastic porous material theory of Biot. For various thicknesses of three kinds of lining materials, finite element predictions are compared with measurement results and Morse's analytical results. While the analytical model has larger error as the lining becomes thicker, results of the present model have a good agreement with experimental results for all the thicknesses considered here. It has also been found that constraining the axial motion on the circumferential surface of the lining enhances sound attenuation at low freqneucies.

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Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porosity-dependent homogenization scheme

  • Ebrahimi, Farzad;Dabbagh, Ali;Rabczuk, Timon;Tornabene, Francesco
    • Advances in nano research
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    • v.7 no.2
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    • pp.135-143
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    • 2019
  • The important effect of porosity on the mechanical behaviors of a continua makes it necessary to account for such an effect while analyzing a structure. motivated by this fact, a new two-step porosity dependent homogenization scheme is presented in this article to investigate the wave propagation responses of functionally graded (FG) porous nanobeams. In the introduced homogenization method, which is a modified form of the power-law model, the effects of porosity distributions are considered. Based on Hamilton's principle, the Navier equations are developed using the Euler-Bernoulli beam model. Thereafter, the constitutive equations are obtained employing the nonlocal elasticity theory of Eringen. Next, the governing equations are solved in order to reach the wave frequency. Once the validity of presented methodology is proved, a set of parametric studies are adapted to put emphasis on the role of each variant on the wave dispersion behaviors of porous FG nanobeams.

BIVARIATE NUMERICAL MODELING OF THE FLOW THROUGH POROUS SOIL

  • S. JELTI;A. CHARHABIL;A. SERGHINI;A. ELHAJAJI;J. EL GHORDAF
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.295-309
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    • 2023
  • The Richards' equation attracts the attention of several scientific researchers due to its importance in the hydrogeology field especially porous soil. This work presents a numerical method to solve the two dimensional Richards' equation. The pressure form and the mixed form of Richards' equation are solved numerically using a bivariate diamond finite volumes scheme. Euler explicit scheme is used for the time discretization. Different test cases are done to validate the accuracy and the efficiency of our numerical model and to compare the possible numerical strategies. We started with a first simple test case of Richards' pressure form where the hydraulic capacity and the hydraulic conductivity are taken constant and then a second test case where the hydrodynamics parameters are linear variables. Finally, a third test case where the soil parameters are taken according the Van Gunchten empirical model is presented.