• Title/Summary/Keyword: Periodic Boundary Conditions

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Numerical Simulation of Heat Transfer Characteristics of Tube Banks with Non-conventional Arrangement (튜브뱅크 배열특성에 따른 전열특성변화 수치모사)

  • Jun, Yong-Du;Nam, Myong-Hwan;Koo, Byeong-Soo;Lee, Kum-Bae
    • Proceedings of the SAREK Conference
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    • 2009.06a
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    • pp.1129-1134
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    • 2009
  • A numerical study has been conducted to investigate the effect of tube arrangement on the heat transfer and the pressure loss for cross flow heat exchangers. By defining a transverse deviation factor, ${\varepsilon}_t=l_T/S_T$, the flow pattern and the heat transfer characteristics are compared for selected ${\varepsilon}_t$ values of 0.0(in-lined), 0.1, 0.2, 0.3, 0.4, 0.5(staggered) by using a commercial software. Computational domain includes 1 pitch in the transverse direction and 5 pitches in the flow direction with due periodic boundary conditions.

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Effect of a Concentrated Mass on the Dynamic Stability of Spinning Free-Free Beam Subjected to a Thrust (회전하는 양단자유보의 동적 안정성에 대한 추력과 집중질량의 영향에 관한 연구)

  • Yoon, Seung-Joon;Kim, Ji-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.695-700
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    • 2000
  • The dynamic stability of spinning beam with free boundary conditions for both edges subjected to a tip follower force $P_0+P_1cos{\Omega}t$ is analyzed. It is studied that the beam has a concentrated mass. and then the effects of the axial locations of the mass are studied. The beam is modelled with the Timoshenko type shear deformations. The Hamilton's principle is used to derive the equations of motion, and the critical spinning speed of a beam subjected to a follower force with various non-dimensional parameters is investigated. The finite elements are used with $C^0$ continuity to analyze the spinning beam model, and the method of multiple scales is tried to investigate the dynamic instability regions. The governing equations of motion involve periodic coefficients, which are not in the form of standard Mathieu-Hill equations. The result shows that the concentrated mass increases the dynamic stability of the spinning free-free beam subjected to a thrust.

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A Study on the Dynamic Stability of the Long Vertical Beam Subjected to the Parametric Excitation (파라메터 기진에 의한 긴수직보의 동적안정성에 관한 연구)

  • Y.C. Kim;J.S. Hong
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.69-82
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    • 1991
  • The dynamic stability of the long vertical beam subjected to the periodic axial load is investigated. As a solution method, the Galerkin's method is used to obtain a set of coupled Mathieu type equations. To obtain the stability chart, both the perturbation method and numerical method are used, and the results of the both methods are compared with each other. The stability regions for the various boundary conditions are obtained, Also the effects of the viscous damping, the mean tension and the multi-frequency parametric excitation are studied in detail.

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Analysis of Mechanical Behavior of Nanowire by Molecular Dynamics Simulation (분자동역학을 이용한 나노 와이어의 역학적 거동 해석)

  • Lee, Byeong-Yong;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.433-438
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    • 2007
  • Mechanical behavior of copper Nanowire is investigated, An FCC Nanowire model composed of 1,408 atoms is used for NID simulation, Simulations are performed within NVT ensemble setting without periodic boundary conditions, Nose-Poincare MD algorithm is employed to guarantee preservation of Hamiltonian. Numerical tensile tests are carried out with constant strain rate, Stress-strain curve is constructed from the calculated Cauchy stresses and specified strain values, Non-linear behavior appears around $\varepsilon$=0.064, At this instance, starting of structural reorientations are observed.

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Molecular Dynamics Simulation for the Mechanical Properties of CNT/Polymer Nanocomposites (분자동역학 시뮬레이션을 이용한 나노튜브/고분자 나노복합재의 물성 해석)

  • Yang, Seung-Hwa;Cho, Maeg-Hyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.2 s.257
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    • pp.237-244
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    • 2007
  • In order to obtain mechanical properties of CNT/Polymer nano-composites, molecular dynamics simulation is performed. Overall system was modeled as a flexible unit cell in which carbon nanotubes are embedded into a polyethylene matrix for N $\sigma$ T ensemble simulation. COMPASS force field was chosen to describe inter and intra molecular potential and bulk effect was achieved via periodic boundary conditions. In CNT-polymer interface, only Lennard-Jones non-bond potential was considered. Using Parrinello-Rahman fluctuation method, mechanical properties of orthotropic nano-composites under various temperatures were successfully obtained. Also, we investigated thermal behavior of the short CNT reinforced nanocomposites system with predicting glass transition temperature.

Calculation of band structures and dispersion surfaces in two-dimensional photonic crystals using the FDTD method (FDTD 방법을 이용한 2차원 황자 크리스탈의 밴드 구조와 분산 곡선의 계산)

  • 홍수완;김창모;정교방
    • Korean Journal of Optics and Photonics
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    • v.12 no.6
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    • pp.479-484
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    • 2001
  • The analysis of photonic band gaps and anomalous dispersion phenomena in photonic crystals requires understanding of band structures and dispersion surfaces. We show the results of the calculation of band structures and dispersion surfaces for a few two- dimensional lattices, using the finite-difference time-domain method with periodic boundary conditions. In addition, localized defect modes the exist within the band gap are computed by the same method.

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A Numerical Analysis of Polymer Flow in Thermal Nanoimprint Lithography

  • Kim, Nam-Woong;Kim, Kug-Weon;Lee, Woo-Young
    • Journal of the Semiconductor & Display Technology
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    • v.9 no.3
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    • pp.29-34
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    • 2010
  • Nanoimprint lithography (NIL) is an emerging technology enabling cost effective and high throughput nanofabrication. To successfully imprint a nanometer scale patterns, the understanding of the mechanism in nanoimprint forming is essential. In this paper, a numerical analysis of polymer flow in thermal NIL was performed. First, a finite element model of the periodic mold structure with prescribed boundary conditions was established. Then, the volume of fluid (VOF) and grid deformation method were utilized to calculate the free surfaces of the polymer flow based on an Eulerian grid system. From the simulation, the velocity fields and the imprinting pressure for constant imprinting velocity in thermal NIL were obtained. The velocity field is significant because it can directly describe the mode of the polymer deformation, which is the key role to determine the mechanism of nanoimprint forming. Effects of different mold shapes and various thicknesses of polymer resist were also investigated.

Nystatin Drug as an Effective Corrosion Inhibitor for Mild Steel in Acidic Media- An Experimental and Theoretical Study

  • Mehmeti, Valbone
    • Corrosion Science and Technology
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    • v.21 no.1
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    • pp.21-31
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    • 2022
  • Potentiodynamic polarization, EIS measurements, quantum chemical calculations, and molecular dynamic simulations were used to investigate the corrosion behavior of mild steel in 0.5 M aqueous hydrochloric acid medium in the presence or absence of nystatin drug. Potentiodynamic tests suggested that this molecule could act as a mixed inhibitor due to its adsorption on the mild steel surface. The objective of this study was to exploit theoretical calculations to gain a better understanding mechanism of inhibition. Calculating the adsorption behavior of the investigated molecule on Fe (1 1 0) surface was accomplished using Monte Carlo simulation. Molecules were also investigated using Density Functional Theory (DFT), specifically PBE functional, in order to identify the link between molecular structure and corrosion inhibition behavior of the compound under investigation. Adsorption energies between nystatin and iron were estimated more accurately by utilizing Molecular Mechanics calculation with Periodic Boundary Conditions (PBC). Estimated theoretical parameters significantly assisted our understanding of the corrosion inhibition mechanism exhibited by this molecule. They were found to be in accord with experimental results.

Equivalent material properties of perforated metamaterials based on relative density concept

  • Barati, Mohammad Reza;Shahverdi, Hossein
    • Steel and Composite Structures
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    • v.44 no.5
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    • pp.685-690
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    • 2022
  • In this paper, the equivalent material properties of cellular metamaterials with different types of perforations have been presented using finite element (FE) simulation of tensile test in Abaqus commercial software. To this end, a Representative Volume Element (RVE) has been considered for each type of cellular metamaterial with regular array of circular, square, oval and rectangular perforations. Furthermore, both straight and perpendicular patterns of oval and rectangular perforations have been studied. By applying Periodic Boundary conditions (PBC) on the RVE, the actual behavior of cellular material under uniaxial tension has been simulated. Finally, the effective Young's modulus, Poisson's ratio and mass density of various metamaterials have been presented as functions of relative density of the RVE

Level Set based Topological Shape Optimization of Phononic Crystals (음향결정 구조의 레벨셋 기반 위상 및 형상 최적설계)

  • Kim, Min-Geun;Hashimoto, Hiroshi;Abe, Kazuhisa;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.6
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    • pp.549-558
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    • 2012
  • A topology optimization method for phononic crystals is developed for the design of sound barriers, using the level set approach. Given a frequency and an incident wave to the phononic crystals, an optimal shape of periodic inclusions is found by minimizing the norm of transmittance. In a sound field including scattering bodies, an acoustic wave can be refracted on the obstacle boundaries, which enables to control acoustic performance by taking the shape of inclusions as the design variables. In this research, we consider a layered structure which is composed of inclusions arranged periodically in horizontal direction while finite inclusions are distributed in vertical direction. Due to the periodicity of inclusions, a unit cell can be considered to analyze the wave propagation together with proper boundary conditions which are imposed on the left and right edges of the unit cell using the Bloch theorem. The boundary conditions for the lower and the upper boundaries of unit cell are described by impedance matrices, which represent the transmission of waves between the layered structure and the semi-infinite external media. A level set method is employed to describe the topology and the shape of inclusions. In the level set method, the initial domain is kept fixed and its boundary is represented by an implicit moving boundary embedded in the level set function, which facilitates to handle complicated topological shape changes. Through several numerical examples, the applicability of the proposed method is demonstrated.