• 제목/요약/키워드: Porous Model

검색결과 742건 처리시간 0.027초

포화된 다공성매체에서 파동의 전파특성 I. 이론해의 유도 (Wave Propagation Characteristics in Saturated Porous Media I. Theoretical Solution)

  • 김선훈;김광진
    • 한국전산구조공학회논문집
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    • 제20권2호
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    • pp.95-103
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    • 2007
  • 본 논문에서는 포화된 다공성매체에서 파동의 전파속도와 감쇠를 구할 수 있는 해석적 이론해를 유도하여 제시하였다. 이론해의 유도를 위하여 압축성의 고체입자와 간극수를 고려하는 완전 연계 Field모델을 사용하였다. 완전 포화된 다공성 매체의 해석을 위한 공학적인 접근방법이 채택되었으며, 균질 영역에서 1차원 파동의 전파를 위한 이론해가 유도되었다. 본 논문에서 유도한 이론해는 고체입자의 압축성, 간극수의 압축성, 다공성입자의 변형, 공간의 감쇠(Spatial damping) 등을 고려할 수 있어 매우 다양하게 사용될 수 있다. 또한 다양한 지반체에서 두 가지 종류의 파속(Wavespeed)과 감쇠계수를 계산하는데 이용 가능하다. 본 논문에서 제시한 이론해를 전산코드화하여 파동의 전파속도와 감쇠에 대한 파라미터연구를 수행한 결과는 본 연구의 II부에 제시할 예정이다.

단열-다공암반에서 유동저항 이론을 이용한 지하수 유동 평가에 관한 연구 (A Study on the Groundwater Flow in Fractured-Porous Media by Flow Resistance Theory)

  • 한지웅;황용수;강철형
    • 한국방사성폐기물학회:학술대회논문집
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    • 한국방사성폐기물학회 2005년도 춘계 학술대회
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    • pp.231-238
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    • 2005
  • 본 연구에서는 유동저항이론을 기초로 하여 연속다공체, 분리단열망 및 연속다공체-분리단열망 공존암반과 같은 3가지 암반을 대상으로 암반 특성에 따른 지하수 유동저항 개념 모델링 및 관계식을 제안하였다. 정상상태조건에서 밀도변동은 고려하지 않았으며 유한 체적법을 이용하였다. 각종 물성치는 블록 중심에서 정의되고, flux는 블록면에서 정의되는 staggered 격자 체계하에서 모든 블록에 대해 Darcy 법칙이 적용되었다. 접촉면에서의 투수계수는 인접면 중심에서 정의된 물성치의 조화평균값을 사용하였다. 유동저항개념을 이용하여 인접한 블록간의 상대압력차와 flux의 관계를 표현하였다. 개개의 단열에서의 유동은 다공암반에서 이용된 방정식과 동일한 형태의 2차원 방정식으로 모사되었다. 본 논문에서 제안된 모델은 추후 다양한 암반 특성별 유동 모사 기법을 개발하는데 많은 기여를 할 것으로 기대된다.

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Dynamic vibration response of functionally graded porous nanoplates in thermal and magnetic fields under moving load

  • Ismail Esen;Mashhour A. Alazwari;Khalid H. Almitani;Mohamed A Eltaher;A. Abdelrahman
    • Advances in nano research
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    • 제14권5호
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    • pp.475-493
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    • 2023
  • In the context of nonclassical nonlocal strain gradient elasticity, this article studies the free and forced responses of functionally graded material (FGM) porous nanoplates exposed to thermal and magnetic fields under a moving load. The developed mathematical model includes shear deformation, size-scale, miscorstructure influences in the framework of higher order shear deformation theory (HSDT) and nonlocal strain gradient theory (NSGT), respectively. To explore the porosity effect, the study considers four different porosity models across the thickness: uniform, symmetrical, asymmetric bottom, and asymmetric top distributions. The system of quations of motion of the FGM porous nanoplate, including the effects of thermal load, Lorentz force, due to the magnetic field and moving load, are derived using the Hamilton's principle, and then solved analytically by employing the Navier method. For the free and forced responses of the nanoplate, the effects of nonlocal elasticity, strain gradient elasticity, temperature rise, magnetic field intensity, porosity volume fraction, and porosity distribution are analyzed. It is found that the forced vibrations of FGM porous nanoplates under thermal and live loads can be damped by applying a directed magnetic field.

An analytical study on free vibration of magneto electro micro sandwich beam with FG porous core on Vlasov foundation

  • Kazem Alambeigi;Mehdi Mohammadimehr;Mostafa Bamdad
    • Advances in nano research
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    • 제15권5호
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    • pp.423-439
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    • 2023
  • The aim of this paper is to investigate the free vibration behavior of the micro sandwich beam composing of five layers such as functionally graded (FG) porous core, nanocomposite reinforced by carbon nanotubes (CNTs) and piezomagnetic/piezoelectric layers subjected to magneto electrical potential resting on silica aerogel foundation. The effect of foundation has been taken into account using Vlasov model in addition to rigid base assumption. For this purpose, an iterative technique is applied. The material properties of the FG porous core and FG nanocomposite layers are considered to vary throughout the thickness direction of the beams. Based on the Timoshenko beam theory and Hamilton's principle, the governing equations of motion for the micro sandwich beam are obtained. The Navier's type solution is utilized to obtain analytical solutions to simply supported micro sandwich beam. Results are verified with corresponding literatures. In the following, a study is carried out to find the effects of the porosity coefficient, porous distribution, volume fraction of CNT, the thickness of silica aerogel foundation, temperature and moisture, geometric parameters, electric and magnetic potentials on the vibration of the micro sandwich beam. The results are helpful for the design and applications of micro magneto electro mechanical systems.

Buckling of 2D FG Porous unified shear plates resting on elastic foundation based on neutral axis

  • Rabab, Shanab;Salwa, Mohamed;Mohammed Y., Tharwan;Amr E., Assie;Mohamed A., Eltaher
    • Steel and Composite Structures
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    • 제45권5호
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    • pp.729-747
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    • 2022
  • The critical buckling loads and buckling modes of bi-directional functionally graded porous unified higher order shear plate with elastic foundation are investigated. A mathematical model based on neutral axis rather than midplane is developed in comprehensive way for the first time in this article. The material constituents form ceramic and metal are graded through thickness and axial direction by the power function distribution. The voids and cavities inside the material are proposed by three different porosity models through the thickness of plate. The constitutive parameters and force resultants are evaluated relative to the neutral axis. Unified higher order shear plate theories are used to satisfy the zero-shear strain/stress at the top and bottom surfaces. The governing equilibrium equations of bi-directional functionally graded porous unified plate (BDFGPUP) are derived by Hamilton's principle. The equilibrium equations in the form of coupled variable coefficients partial differential equations is solved by using numerical differential integral quadrature method (DIQM). The validation of the present model is presented and compared with previous works for bucking. Deviation in buckling loads for both mid-plane and neutral plane are developed and discussed. The numerical results prove that the shear functions, distribution indices, boundary conditions, elastic foundation and porosity type have significant influence on buckling stability of BDFGPUP. The current mathematical model may be used in design and analysis of BDFGPU used in nuclear, mechanical, aerospace, and naval application.

Determination of Properties of Ionomer Binder Using a Porous Plug Model for Preparation of Electrodes of Membrane-Electrode Assemblies for Polymer Electrolyte Fuel Cells

  • Park, Jin-Soo;Park, Seok-Hee;Park, Gu-Gon;Lee, Won-Yong;Kim, Chang-Soo;Moon, Seung-Hyeon
    • 전기화학회지
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    • 제10권4호
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    • pp.295-300
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    • 2007
  • A new characterization method using a porous plug model was proposed to determine the degree of sulfonation (DS) of ionomer binder with respect to the membrane used in membrane-electrode assemblies (MEAs) and to analyze the fraction of proton pathways through ionomer-catalyst combined electrodes in MEAs for polymer electrolyte fuel cells (PEFCs). Sulfonated poly(ether ether ketone) was prepared to use a polymeric electrolyte and laboratory-made SPEEK solution (5wt.%, DMAc based) was added to catalyst slurry to form catalyst layers. In case of the SPEEK-based MEAs in this study, DS of ionomer binder for catalyst layers should be the same or higher than that of the SPEEK membrane used in the MEAs. The porous plug model suggested that most of protons were via the ionomer binder (${\sim}92.5%$) bridging the catalyst surface to the polymeric electrolyte, compared with the pathways through the alternative between the interstitial water on the surface of ionomer binder or catalyst and the ionomer binder (${\sim}7.3%$) and through only the interstitial water on the surface of ionomer or catalyst (${\sim}0.2%$) in the electrode of the MEA comprising of the sulfonated poly(ether ether ketone) membrane and the 5wt.% SPEEK ionomer binder. As a result, it was believed that the majority of proton at both electrodeds moves through ionomer binder until reaching to electrolyte membrane. The porous plug model of the electrodes of MEAs reemphasized the importance of well-optimized structure of ionomer binder and catalyst for fuel cells.

보정한 Bleed 모델을 이용한 초음속 흡입구 버즈 제어 (SUPERSONIC INLET BUZZ CONTROL USING CORRECTED BLEED MODEL)

  • 곽인근;이승수
    • 한국전산유체공학회지
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    • 제18권4호
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    • pp.82-89
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    • 2013
  • Database of a bleed model has been corrected and numerical simulations have been performed to control buzz using the corrected bleed model. The existing bleed model, which was developed as a part of a boundary condition model for porous bleed walls, underestimates bleed flow rate because flow accelerations near the bleed regions are ignored. Also, it overpredicts the sonic flow coefficient when the bleed plenum pressure ratio is high. To correct these problems, and to enhance the performance of the bleed model, the database has been corrected using CFD simulations to compensate for the flow acceleration near the bleed region. Futhermore, the database of the bleed model is extended with the second order extrapolation. The corrected bleed model is validated with numerical simulations of a shock-boundary layer interaction problem over a solid wall with a bleed region. Using the corrected bleed model, numerical simulations of supersonic inlet buzz are performed to find the deterrent effects of bleed on buzz. The results reveal that bleed is effective to prevent buzz and to enhance the inlet performance.

다공확장벽을 이용한 미사일 동체에 대한 플룸간섭 현상의 제어 (Control of Plume Interference Effects on a Missile Body Using a Porous Extension)

  • Young-Ki Lee;Heuy-Dong Kim
    • 한국추진공학회지
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    • 제7권4호
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    • pp.33-38
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    • 2003
  • 플룸간섭 현상은 플룸에 의한 경계층 유동의 박리, 강한 전단층의 발생, 그리고 다수의 충격파들이 박리유동 및 전단층과 상호작용하게 되는 매우 복잡한 유동현상으로, 현재 미사일의 후미부에서 발생하는 플룸간섭 현상의 상세에 관해서는 잘 알려져 있지 않다. 본 연구에서는 초음속 미사일의 동체후미부에서 발생하는 플룸간섭 현상의 특징 및 동체기저부에 설치된 다공확장벽(porous extension)의 플룸간섭 현상에 대한 영향을 수치해석적으로 조사하였다. 그 결과, 다공확장벽이 플룸에 의한 충격파와 경계층 유동의 박리를 완화시켜 미사일 동체의 제어성능이 향상될 수 있음을 알았다.

다공질 유동해석을 위한 Darcy-Weisbach 관계식의 확장 (Expansion of the Darcy-Weisbach Relation for Porous Flow Analysis)

  • 신창훈;박원규
    • 대한기계학회논문집B
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    • 제41권4호
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    • pp.229-238
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    • 2017
  • 본 연구는 다양한 기하학적 특성을 갖는 다공성 매질의 투과도를 유동조건의 변화와 상관없이 적절히 해석할 수 있는 일반화된 투과도 관계식을 도출하고자 시작되었다. 이에 우선, Darcy-Weisbach 관계식 (Darcy's 마찰유동관계식)의 다공질 유동에의 적용방안을 검토하였다. 결과적으로, Kozeny와 Carman 등의 선행연구를 바탕으로, Darcy-Weisbach 관계식은 다공질 유동해석에 적용이 가능하도록 확장되었다. 또한, 이는 모세관 유동모델을 바탕으로 마찰등가투과도(FEP)로 다시 정의되었다. 이때, 도출된 관계식의 유효성은 Kozeny-Carman 방정식과의 비교를 통해 검증되었고, 제시된 FEP 관계식이 Kozeny-Carman 방정식의 일반화된 형태임도 확인하였다. 결론적으로, 본 연구에서는 Darcy-Weisbach 관계식을 다공질 유동해석에 적용할 수 있도록 적절히 확장하고, 새로운 투과도 산정을 위한 FEP 관계식을 제시하였다.

다공질 공기 베어링을 적용한 반도체 웨이퍼 연마용 스핀들 개발 (Development of Wafer Grinding Spindle with Porous Air Bearings)

  • 이동현;김병옥;전병찬;허균철;김기수
    • Tribology and Lubricants
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    • 제39권1호
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    • pp.28-34
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    • 2023
  • Because of their cleanliness, low friction, and high stiffness, aerostatic bearings are used in numerous applications. Aerostic bearings that use porous materials as means of flow restriction have higher stiffness than other types of bearings and have been successfully applied as guide bearings, which have high motion accuracy requirements. However, the performances of porous bearings exhibit strong nonlinearity and can vary considerably depending on design parameters. Therefore, accurate prediction of the performance characteristics of porous bearings is necessary or their successful application. This study presents a porous bearing design and performance analysis for a spindle used in wafer polishing. The Reynolds and Darcy flow equations are solved to calculate the pressures in the lubrication film and porous busing, respectively. To verify the validity of the proposed analytical model, the calculated pressure distribution in the designed bearing is compared with that derived from previous research. Additional parametric studies are performed to determine the optimal design parameters. Analytical results show that optimal design parameters that obtain the maximum stiffness can be derived. In addition, the results show that cross-coupled stiffness increases with rotating speed. Thus, issues related to stability should be investigated at the design stage.