• Title/Summary/Keyword: Two-fluid equation

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Visualization of $1^{st}$ order phase transition by using lattice Boltzmann equation (Lattice Boltmann 방정식에 의한 1차 상변이의 가시화)

  • Ha, Man-Yeong;Kim, Hyo-Geun
    • 한국가시화정보학회:학술대회논문집
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    • 2005.12a
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    • pp.103-106
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    • 2005
  • Lattice Boltzmann method is a new numerical method of investigating the fluid flow which have been solved by Navier-Stokes equation recently. It is known that making the single and parallel algorithms of the Lattice Boltzmann equation is easier than those of Navier-Stokes equations. Also, we can simulate the two phase flow using either the 'Interaction Potential model ' introduced by Shan and Chen. In this paper, we first compared the 3D cavity results of Lattice Boltzmann method with other numerical results for validation and showed the 3D phase transition and its simple application by using the ' Interaction Potential model'

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Computation of viscoelastic flow using neural networks and stochastic simulation

  • Tran-Canh, D.;Tran-Cong, T.
    • Korea-Australia Rheology Journal
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    • v.14 no.4
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    • pp.161-174
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    • 2002
  • A new technique for numerical calculation of viscoelastic flow based on the combination of Neural Net-works (NN) and Brownian Dynamics simulation or Stochastic Simulation Technique (SST) is presented in this paper. This method uses a "universal approximator" based on neural network methodology in combination with the kinetic theory of polymeric liquid in which the stress is computed from the molecular configuration rather than from closed form constitutive equations. Thus the new method obviates not only the need for a rheological constitutive equation to describe the fluid (as in the original Calculation Of Non-Newtonian Flows: Finite Elements St Stochastic Simulation Techniques (CONNFFESSIT) idea) but also any kind of finite element-type discretisation of the domain and its boundary for numerical solution of the governing PDE's. As an illustration of the method, the time development of the planar Couette flow is studied for two molecular kinetic models with finite extensibility, namely the Finitely Extensible Nonlinear Elastic (FENE) and FENE-Peterlin (FENE-P) models.P) models.

Process Analysis for Rheology Forming Considering Flow and Solidification Phenomena in Lower Solid Fraction (저고상율 소재의 유동 및 응고현상을 고려한 레올로지 성형공정해석)

  • Jung, Young-Jin;Cho, Ho-Sang;Kang, Chung-Gil
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.156-164
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    • 2001
  • Two-dimensional solidification analysis during rheology forming process of semi-solid aluminum alloy has been studied. Two-phase fluid flow model to investigate the velocity field and temperature distribution is proposed. The proposed mathematical model is applied to the die shape of the two types. To calculate the velocity and temperature fields during rheology forming process, the earth governing equation correspondent to the liquid and solid region are adapted. Therefore, each numerical models considering the solid and liquid region existing within the semi-solid material have been developed to predict the deflect of rheology forming gnarls. The Arbitrary Boundary Maker And Cell (ABMAC) method is employed to solve the two-phase flow model of the Navier-Stokes equation. Theoretical model on the basis of the two-phase flow model is the mixture rule of solid and liquid phases. This approach is based on the liquid and solid viscosity. The liquid viscosity is pure liquid state value, however solid viscosity is considered as a function of the shear rate, solid fraction and power law curves.

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Off-design performance evaluation of multistage axial gas turbines for a closed Brayton cycle of sodium-cooled fast reactor

  • Jae Hyun Choi;Jung Yoon;Sungkun Chung;Namhyeong Kim;HangJin Jo
    • Nuclear Engineering and Technology
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    • v.55 no.7
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    • pp.2697-2711
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    • 2023
  • In this study, the validity of reducing the number of gas turbine stages designed for a nitrogen Brayton cycle coupled to a sodium-cooled fast reactor was assessed. The turbine performance was evaluated through computational fluid dynamics (CFD) simulations under different off-design conditions controlled by a reduced flow rate and reduced rotational speed. Two different multistage gas turbines designed to extract almost the same specific work were selected: two- and three-stage turbines (mid-span stage loading coefficient: 1.23 and 1.0, respectively). Real gas properties were considered in the CFD simulation in accordance with the Peng-Robinson's equation of state. According to the CFD results, the off-design performance of the two-stage turbine is comparable to that of the three-stage turbine. Moreover, compared to the three-stage turbine, the two-stage turbine generates less entropy across the shock wave. The results indicate that under both design and off-design conditions, increasing the stage loading coefficient for a fewer number of turbine stages is effective in terms of performance and size. Furthermore, the Ellipse law can be used to assess off-design performance and increasing exponent of the expansion ratio term better predicts the off-design performance with a few stages (two or three).

Acoustic Interface Element on Nonconformal Finite Element Mesh for Fluid-Structure Interaction Problem (비적합 유한요소망에 적용가능한 유체-구조물 연결 요소)

  • Cho, Jeong-Rae;Lee, Jin Ho;Cho, Keunhee;Yoon, Hyejin
    • Journal of the Earthquake Engineering Society of Korea
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    • v.27 no.4
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    • pp.163-170
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    • 2023
  • In the fluid-structure interaction analysis, the finite element formulation is performed for the wave equation for dynamic fluid pressure, and the dynamic pressure is defined as a degree of freedom at the fluid nodes. Therefore, to connect the fluid to the structure, it is necessary to connect the degree of freedom of fluid dynamic pressure and the degree of freedom of structure displacement through an interface element derived from the relationship between dynamic pressure and displacement. The previously proposed fluid-structure interface elements use conformal finite element meshes in which the fluid and structure match. However, it is challenging to construct conformal meshes when complex models, such as water purification plants and wastewater treatment facilities, are models. Therefore, to increase modeling convenience, a method is required to model the fluid and structure domains by independent finite element meshes and then connect them. In this study, two fluid-structure interface elements, one based on constraints and the other based on the integration of nonsmooth functions, are proposed in nonconformal finite element meshes for structures and fluids, and their accuracy is verified.

The Performance Comparison between the Mixture of Each Liquid to be Blended and Multi-grade Engine Oil as a Single Fluid in a High Speed Thermo-hydrodynamic Journal Bearing (고속 열유체 저어널 베어링에서 단일유체로서의 다등급 엔진 오일과 그 첨가액체들의 혼합물에 대한 성능 비교)

  • Chun, Sang-Myung
    • Tribology and Lubricants
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    • v.28 no.2
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    • pp.81-92
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    • 2012
  • To product multi-grade oil like engine oil, a sort of mineral base oil is mixed with a fundamental additive liquid package and a polymer liquid as viscosity index improver in order to improve the lubricating property of oil. That is, engine oil is the mixture of more than two fluids. In this paper, it will be systematically organized the governing equation describing non-Newtonian thermo-hydrodynamic lubrication related with the mixture of incompressible fluids based on the principle of continuum mechanics. Then, in order to find how the thermal analysis effect on the bearing performance lubricated with the mixture of multi-fluids, it will be compared to the performances between the mixture of each liquid to be blended and multi-grade engine oil as a single fluid in a high speed journal bearing. It is found that, in the case of lower viscosity oil, the difference of pressure distribution between the above two cases turns out to be existed, even if the load capacity is same level.

NUMERICAL SIMULATION OF TWO-DIMENSIONAL MICROORGANISM LOCOMOTION USING THE IMMERSED BOUNDARY METHOD (가상경계법을 적용한 2차원 미생물 이동에 관한 수치연구)

  • Maniyeri, Ranjith;Suh, Yong-Kweon;Kang, Sang-Mo
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.164-169
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    • 2009
  • Study on swimming of microorganisms like, sperm motility, cilia beating, bacterial flagellar propulsion has found immense significance in the field of biological fluiddynamics. Because of the complexity involved, it is challenging for the researchers to model such problems. Immersed boundary method has proved its efficacy in the field of biological fluiddynamics, The present work aims at performing a numerical study on the microorganism locomotion using the immersed boundary method proposed by Peskin[1]. A two-dimensional model of the microorganism is modeled as thin elastic filament described as a sine wave. The neutrally buoyant organism undergoing deformations is immersed in a viscous and incompressible fluid. The fluid quantities are described using Eulerian coordinates and the immersed body is represented by Lagrangian coordinates. The Eulerian and Lagrangian variables are connected by the Dirac delta function. The Navier-Stokes equations governing the fluid flow are solved using the fractional step method on a staggered Cartesian grid system. The developed numerical code in FORTRAN will be validated by comparing the numerical results with the available results.

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A NUMERICAL ANALYSIS OF THE SLOSHING IN A TANK WITH PLATE/POROUS BAFFLES (판형 및 다공형 배플을 포함한 탱크 내 슬로싱에 대한 유동해석)

  • Lee, Sang-Hyuk;Hur, Nahm-Keon
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.215-222
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    • 2009
  • In the present study, a numerical analysis on the sloshing in a tank with the harmonic motion was investigated. A VOF method was used for two-phase flows inside the sloshing tank and a source term of the momentum equation was applied for the harmonic motion. This numerical method was verified by comparing its results with the available experimental data. The sloshing in a tank causes the instability of the fluid flows and the fluctuation of the impact pressure on the tank. By these phenomena of the tank sloshing, the sloshing problems such as the failure and the noise of system can be generated. For the reduction of these sloshing problems, the various baffles such as the horizontal/vertical plate baffles and the porous baffles inside the tank are installed. With the installations of these baffles, the characteristics of the liquid behavior in the sloshing tank, the impact pressure on the wall, the amplitude of the free surface near the wall and the sloshing noise were numerically analyzed.

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Performance Evaluation of Stator-Rotor Cascade System Considering Flow Viscosity and Aeroelastic Deformation Effects (유동점성 및 공탄성 변형효과를 고려한 스테이터-로터 케스케이드 시스템의 성능평가)

  • Kim, Dong-Hyun;Kim, Yu-Sung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.1
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    • pp.72-78
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    • 2008
  • In this study, advanced (fluid-structure interaction (FSI)) analysis system has been developed in order to predict turbine cascade performance with blade deformation effect due to aerodynamic loads. Intereference effects due to the relative movement of the rotor cascade with respect to the stator cascade are also considered. Reynolds-averaged Navier-Stokes equations with one equation Spalart-Allmaras and two-equation k-ω SST turbulence models are solved to accurately predict fluid dynamic loads considering flow separation effects. A fully implicit time marching scheme based on the (coupled Newmark time-integration method) with high artificial damping is efficiently used to compute the complex fluid-structure interaction problem. Predicted aerodynamic performance considering structural deformation effect of the blade shows somewhat different results compared to the case of rigid blade model. Cascade performance evaluations for different elastic axis positions are importantly presented and its aeroelastic effects are investigated.

Analysis of Dynamic Behavior of Flexible Rectangular Liquid Containers by the Coupled Boundary Element-Finite Element Method (경계요소-유한요소 연계법에 의한 구형 수조구조물의 동적거동 특성해석)

  • Koh, Hyun Moo;Park, Jang Ho;Kim, Jaekwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1033-1042
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    • 1994
  • Dynamic behavior of flexible rectangular liquid containers is analyzed by a two-dimensional coupled boundary element-finite element method. The irrotational motion of inviscid and incompressible ideal fluid is modeled by boundary elements and the motion of structure by finite elements. A singularity free integral formulation is employed for the implementation of boundary element method. Coupling is performed by using compatibility and equilibrium conditions along the interface between the fluid and structure. The fluid-structure interaction effects are reflected into the coupled equation of motion as added fluid mass matrix and sloshing stiffness matrix. By solving the eigen-problem for the coupled equation of motion, natural frequencies and mode shapes of coupled system are obtained. The free surface sloshing motion and hydrodynamic pressure developed in a flexible rectangular container due to horizontal and vertical ground motions are computed in time domain.

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