• Title/Summary/Keyword: fluid element

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Combined Streamline Upwind Petrov Galerkin Method and Segregated Finite Element Algorithm for Conjugate Heat Transfer Problems

  • Malatip Atipong;Wansophark Niphon;Dechaumphai Pramote
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1741-1752
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    • 2006
  • A combined Streamline Upwind Petrov-Galerkin method (SUPG) and segregated finite element algorithm for solving conjugate heat transfer problems where heat conduction in a solid is coupled with heat convection in viscous fluid flow is presented. The Streamline Upwind Petrov-Galerkin method is used for the analysis of viscous thermal flow in the fluid region, while the analysis of heat conduction in solid region is performed by the Galerkin method. The method uses the three-node triangular element with equal-order interpolation functions for all the variables of the velocity components, the pressure and the temperature. The main advantage of the presented method is to consistently couple heat transfer along the fluid-solid interface. Four test cases, which are the conjugate Couette flow problem in parallel plate channel, the counter-flow in heat exchanger, the conjugate natural convection in a square cavity with a conducting wall, and the conjugate natural convection and conduction from heated cylinder in square cavity, are selected to evaluate efficiency of the presented method.

A Lubrication Performance Analysis of Mechanical Face Seals Using Galerkin Finite Element Method (갤러킨 유한요소해석법을 이용한 미케니컬 페이스 실의 윤활성능해석)

  • Choe, Byeong-Ryeol;Lee, An-Seong;Choe, Dong-Hun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.6
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    • pp.916-922
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    • 2001
  • A mechanical face seal is a tribo-element intended to control leakage of working fluid at the interface between a rotating shaft and its housing. Leakage of working fluid decreases drastically as the clearance of the mating seal faces gets smaller. But the very small seal clearance results in an increased reduction of seal life because of high wear and heat generation. Therefore, in the design of mechanical face seals a compromise between low leakage and acceptable seal life is important, and it presents a difficult and practical design problem. A fluid film or sealing dam geometry of the seal clearance affects seal lubrication performance very much, and thereby it is one of the main design considerations. In this study the Reynolds equation for the sealing dam of mechanical face seals is numerically analyzed, using the Galerkin finite element method, which is readily applied to various seal geometries. Film pressures of the sealing dam are analyzed, including the effects of the seal face coning and tilt. Then, lubrication performances of the seals, such as opening forces, restoring moments, leakage, and dynamic coefficients, are calculated, and they are compared to the results obtained by the narrow seal approximation.

Finite Element Forced Response of a Spinning Flexible HDD Disk-spindle System Considering the Asymmetry Originating from Gyroscopic Effect and Fluid Dynamic Bearings (자이로스코픽 효과와 유체 동압 베어링에 의한 비대칭성을 고려한 회전 유연 디스크-스핀들 시스템의 유한요소 강제 진동 해석)

  • Park, Ki-Yong;Jang, Gun-Hee;Seo, Chan-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.10
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    • pp.915-922
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    • 2010
  • This paper presents an efficient method for determining the forced response of a spinning flexible disk-spindle system supported by fluid dynamic bearings(FDBs) in a computer hard disk drive(HDD). The spinning flexible disk-spindle system is represented by the asymmetric finite element equations of motion originating from the asymmetric dynamic coefficients of the FDBs and the gyroscopic moment of a spinning disk-spindle system. The proposed method utilizes only the right eigenvectors of the eigenvalue problem to transform the large asymmetric finite element equations of motion into a small number of coupled equations, guaranteeing the accuracy of their numerical integration. The results are then back-substituted into the equations of motion to determine the forced response. The effectiveness of the proposed method was verified by comparing it with the responses from the classical methods of mode superposition with the general eigenvalue problems, and mode superposition with modal approximation. The proposed method was shown to be effective in determining the forced response represented by the asymmetric finite element equations of motion of a spinning flexible disk-spindle system supported by FDBs.

Hydroelastic Vibration Analysis of Structures in Contact with Fluid

  • Chung, Kie-Tae;Kim, Young-Bok;Kang, Ho-Seung
    • Selected Papers of The Society of Naval Architects of Korea
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    • v.2 no.1
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    • pp.18-28
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    • 1994
  • In the vibration analysis of submerged or floating bodies such as ships and offshore structures, the coupled system between fluid and structure should be considered using the compatibility conditions on the wetted surface. It is well known that the hydroelastic vibration analysis of structures in contact with fluid can be done by applying the finite element method(FEM) to structures and the boundary element method(BEM) to the fluid domain. However, such an approach is impractical due to the characteristics of the fully coupled added mass matrix of fluid on the entire wetted surface. To overcome this difficulty, an efficient approach based on a reanalysis scheme is proposed in this paper. The proposed method can be applied for cases of higher local modes and beam-like modes for which three-dimensional reduction factors are not known. The three dimensional reduction factors are not needled and thus the restrictions can be removed in the analyses of non-beam like modes or local vibration modes by considering fluid-structure interaction. The validity and calculation efficiency of the proposed method are proved through numerical examples.

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FLUID-STRUCTURE INTERACTION ANALYSIS FOR VORTEX-INDUCED VIBRATION OF CIRCULAR CYLINDER (유체-구조 연성해석을 통한 원주의 와유기 진동 해석)

  • Kim, S.H.;Ahn, H.T.;Ryue, J.S.;Shin, H.K.;Kwon, O.J.;Seo, H.S.
    • Journal of computational fluids engineering
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    • v.17 no.1
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    • pp.29-35
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    • 2012
  • Fluid-Structure Interaction analysis of a circular cylinder surrounded by incompressible turbulent flow is presented. The fluid flow is modeled by incompressible Navier-Stokes equations in conjunction with large-eddy simulation for turbulent vortical flows. The circular cylinder is modeled as elastic continuum described by elasto-dynamic equation of motion. Finite element method based approach is utilized for unified formulation of fluid-structure interaction analysis. The magnitude and frequency of structural response is analysed in comparison to the driving fluid forces.

Analysis of Fluid-Structure Interactions Considering Nonlinear Free Surface Condition for Base-isolated Fluid Storage Tank (면진된 유체저장탱크의 비선형 유체-구조물 상호작용 해석)

  • Kim, Moon-Kyum;Lim, Yun-Mook;Cho, Kyung-Hwan;Jung, Sung-Won;Eo, Jun
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.481-488
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    • 2003
  • A fluid-structure-isolator interaction program was developed in this study. The behavior of liquid regions are simulated by the boundary element method, and then the technique of analyzing the free surface motion in time domain is developed by using the nonlinear free surface boundary condition(NFBC) and the condition of interface between the structure and the fluid. Structure regions are modeled by the finite element method. In order to construct the governing equation of the fluid structure interaction(FSI)problem in time domain, the finite elements for a structure and boundary elements for liquid are coupled using the equilibrium condition, the compatibility condition and NFBC. The isolator is simulated by equation proposedin 3D Basis Me. In order to verify the validity and the applicability of the developed fluid- structure -Isolator interaction program, The horizontal forced vibration analysis was performed. The applicability of the developed method is verified through the artificial seismic analysis of real size liquid storage tank.

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Fluid-structure interaction system predicting both internal pore pressure and outside hydrodynamic pressure

  • Hadzalic, Emina;Ibrahimbegovic, Adnan;Dolarevic, Samir
    • Coupled systems mechanics
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    • v.7 no.6
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    • pp.649-668
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    • 2018
  • In this paper, we present a numerical model for fluid-structure interaction between structure built of porous media and acoustic fluid, which provides both pore pressure inside porous media and hydrodynamic pressures and hydrodynamic forces exerted on the upstream face of the structure in an unified manner and simplifies fluid-structure interaction problems. The first original feature of the proposed model concerns the structure built of saturated porous medium whose response is obtained with coupled discrete beam lattice model, which is based on Voronoi cell representation with cohesive links as linear elastic Timoshenko beam finite elements. The motion of the pore fluid is governed by Darcy's law, and the coupling between the solid phase and the pore fluid is introduced in the model through Biot's porous media theory. The pore pressure field is discretized with CST (Constant Strain Triangle) finite elements, which coincide with Delaunay triangles. By exploiting Hammer quadrature rule for numerical integration on CST elements, and duality property between Voronoi diagram and Delaunay triangulation, the numerical implementation of the coupling results with an additional pore pressure degree of freedom placed at each node of a Timoshenko beam finite element. The second original point of the model concerns the motion of the outside fluid which is modeled with mixed displacement/pressure based formulation. The chosen finite element representations of the structure response and the outside fluid motion ensures for the structure and fluid finite elements to be connected directly at the common nodes at the fluid-structure interface, because they share both the displacement and the pressure degrees of freedom. Numerical simulations presented in this paper show an excellent agreement between the numerically obtained results and the analytical solutions.

Natural Frequency Analysis of Cantilever Plates with Added Mass (부가수 질량을 고려한 외팔판의 고유진동 해석)

  • Jang, Hyun-Gil;Nho, In Sik;Hong, Chang-Ho;Lee, Chang-Sup
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.1
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    • pp.1-7
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    • 2013
  • The high-skewed and/or composite propellers of current interests to reduce the ship vibration and to increase the acoustic performance are likely to be exposed to the unexpected structural problems. One typical example is that the added mass effect on the propellers working in the non-uniform wake field reduces the natural frequency of the propeller leading to the resonance with the low-frequency excitation of the external forces. To avoid this resonance problem during the design stage, the technique of fluid-structure interaction has been developed, but the higher-order effect of the blade geometry deformation is not yet considered in evaluating the added mass effects. In this paper the fluid boundary-value problem is formulated by the potential-based panel method in the inviscid fluid region with the velocity inflow due to the body deformation, and the structural response of the solid body under the hydrodynamic loading is solved by applying the finite element method which implements the 20-node iso-parametric element model. The fluid-structure problem is solved iteratively. A basic fluid-sturcture interaction study is performed with the simple rectangular plates of thin thickness with various planform submerged in the water of infinite extent. The computations show good correlation with the experimental results of Linholm, et al. (1965).

Tracking of Evolving Solid-Fluid Interface Using Level set and MLS-based finite elements with variable nodes (MLS기반 변절점 유한요소 및 레벨셋 방법을 이용한 고체-유체 경계의 전산모사)

  • Lim, Jae-Hyuk;Cho, Young-Sam;Im, Se-Young
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.416-418
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    • 2004
  • Tracking of evolving solid-fluid interfaces is treated using level set method and MLS-based finite element with variable nodes. Several applications will be illustrated to demonstrate the effectiveness of the present scheme

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A Silicon Micromachined Fluidic Amplifier and Performance Analysis with Computational Fluid Dynamics (실리콘 마이크로머시닝을 이용한 유체증폭기의 제작과 수치해석을 이용한 해석)

  • Kim, Tae-Hyun;Cho, Dong-Il
    • Proceedings of the KIEE Conference
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    • 1996.07c
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    • pp.1963-1967
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    • 1996
  • This paper describes the analysis, design, and silicon-fabrication of a fluidic proportional amplifier, which is the most important element of fluidic logic circuits. First, FEM(finite element method) analyses were performed, using the Fluent computational fluid dynamics program, and design geometries were optimized. Then, a $40\;{\mu}m$-deep amplifier was fabricated in silicon using anisotropic dry etching.

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