• Title/Summary/Keyword: Tait equation

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NUMERICAL ANALYSIS ON A SPHERICALLY SYMMETRIC UNDERWATER EXPLOSION USING THE ALE GODUNOV SCHEME FOR TWO-PHASE FLOW (이상유동에 대한 ALE Godunov법을 이용한 구대칭 수중폭발 해석)

  • Shin S.;Kim I.C.;Kim Y.J.
    • Journal of computational fluids engineering
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    • v.11 no.1 s.32
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    • pp.29-35
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    • 2006
  • A code is developed to analyze a spherically symmetric underwater explosion. The arbitrary Lagrangian-Eulerian(ALE) Godunov scheme for two-phase flow is used to calculate numerical fluxes through moving control surfaces. For detonation gas of TNT and liquid water, the Jones-Wilkins-Lee(JWL) equation of states and the isentropic Tait relation are used respectively. It is suggested to use the Godunov variable to estimate the velocity of a material interface. The code is validated through comparisons with other results on the gas-water shock tube problem. It is shown that the code can handle generation of discontinuity and recovering of continuity in the normal velocity near the material interface during shock waves interact with the material interface. The developed code is applied to analyze a spherically symmetric underwater explosion. Repeated transmissions of shock waves are clearly captured. The calculated period and maximum radius of detonation gas bubble show good agreements with experimental and other numerical results.

PvT measruement method of polymer using capillary rheometer (캐필러리 레오미터를 이용한 고분자의 PvT 측정 방법)

  • Kim, Sun-Kyoung;Park, Jae-Un
    • Design & Manufacturing
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    • v.14 no.3
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    • pp.31-36
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    • 2020
  • In injection molding processes, the property of molten resin should be characterized accurately. Among several properties, the PvT state is the most important one, since it affects the shrinkage, warpage, molded weight, and the part density. Thus, the PvT data is crucial to the simulation of the injection molding process. This work shows how such a measurement can be performed for a semi-crystalline and amorphous polymers. The PvT measurement has been conducted using a capillary rheometer using a suitable accessory that blocks the capillary. The results have shown that the PvT data can be obtained using such a rheometer and then the PvT coefficients of the Tait equation can be reached.

Finite Element Analysis of Injection/Compression Molding Process (사출압축성형 공정에 대한 유한요소 해석)

  • 이호상
    • Transactions of Materials Processing
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    • v.13 no.2
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    • pp.180-187
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    • 2004
  • A computer code was developed to simulate the filling stage of the injection/compression molding process by a finite element method. The constitutive equation used here was the compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. Simulations of a disk part under different process conditions including the variation of compression stroke and compression speed were carried out to understand their effects on birefringence variation. The simulated results were also compared with those by conventional injection molding.

SOLIDIFICATION OF AN ALLOY FROM A COOLED BOTTOM

  • Yang, Young-Kyun;Kim, Chang-Geun
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.419-427
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    • 2003
  • We have developed and analyzed numerically a simple ordinary differential equation for a mush. Numerical solutions illustrate that the solid fraction at the bottom of the mush increases and the depth of the mush decreases when convection increases. The results are consistent to those observed in experiments with aqueous solutions of ammonium chloride(Loper & Roberts[11], Chen & Chen[2], Tait & Jaupart[11])and in experiments with lead-tin alloys(Hellawell etc.[6]).

Numerical Simulation of Flow-Induced Birefringence in Injection Molded Disk

  • Lee H. S.;Shyu G. D.;Isayev A. I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.04a
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    • pp.41-47
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    • 2003
  • This study is an attempt to understand the birefringence and stress development in an injection molded disk. A computer code was developed to simulate all three stages of the injection molding process - filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. The predicted birefringence was in good agreement with the experimental results.

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Numerical simulation of flow-induced birefringence in injection molded disk

  • Shyu, Goang-Ding;Avraam I. Isayev;Lee, Ho-Sang
    • Korea-Australia Rheology Journal
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    • v.15 no.4
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    • pp.159-166
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    • 2003
  • This study is an attempt to understand the birefringence and stress development in an injection molded disk. A computer code was developed to simulate all three stages of the injection molding process filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. The predicted birefringence was in good agreement with the experimental results.

Numerical Simulation of Flow-Induced Birefringence: Comparison of Injection and Injection/Compression Molding

  • Lee, Ho-Sang;Isayev, A.I.
    • International Journal of Precision Engineering and Manufacturing
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    • v.8 no.1
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    • pp.66-72
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    • 2007
  • A computer code was developed to simulate the filling stage of an injection/compression molding process using a finite element method. The constitutive equation was the compressible Leonov model and the PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. Simulations of a disk under different processing conditions, including variations of the compression stroke and compression speed, were performed to determine their effects on the flow-induced birefringence. Simulated pressure traces were also compared to those obtained in conventional injection molding and with experimental data from the literature.

Numerical Simulation of Flow-Induced Birefringence in Injection/Compression Molding (사출압축성형에서의 유동에 의한 복굴절 해석)

  • Lee H.-S.;Isayev A.I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.10a
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    • pp.65-69
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    • 2004
  • A computer code was developed to simulate the filling stage of the injection/compression molding process by a finite element method. The constitutive equation used here was the compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. Simulations of a disk part under different processing conditions including the variation of compression stroke and compression speed were carried out to understand their effects on flow-induced birefringence. The simulated results were also compared with those by conventional injection molding and with experimental data from literature.

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Influence of Injection Molding Conditions on the Birefringence of Disks (사출성형 조건이 디스크의 복굴절에 미치는 영향)

  • Lee, Ho-Sang;Park, Min-Gyu
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.5
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    • pp.28-33
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    • 2010
  • A computer code was developed to simulate all three stages of the injection molding process: filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. Based on the simulation, the Taguchi method was used to investigate the influences of injection molding conditions on the birefringence of a center gate disk. In addition, the optimal processing conditions were selected to minimize the birefringence and the birefringence difference along the positions of the disk.

Influences of Injection Molding Conditions on the Birefringence of a Disk (사출성형 조건이 디스크의 복굴절에 미치는 영향)

  • Park M.G.;Lee D.H.;Lee H.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.305-309
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    • 2005
  • A computer code was developed to simulate all three stages of the injection molding process ? filling, packing and cooling by finite element method. The constitutive equation used here was compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. Based on the simulation, the Taguchi method was used to investigate the influences of injection molding conditions on the birefringence of a center gate disk. In addition, the optimal processing conditions were selected to minimize the birefringence and the birefringence difference along the positions of the disk.

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