Modeling and simulation of the viscoelastic fluid mold filling process by level set method

Yang, Binxin; Ouyang, Jie; Li, Qiang; Zhang, Zhao; Liu, Chuntai

doi:10.1016/j.jnnfm.2010.06.011

Cited by 24 publications

(33 citation statements)

References 38 publications

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“…Furthermore, the shear rate reaches the largest value near the subsurface of the cavity and very small in the middle of the cavity. This is in accordance with the finding reported by Yang et al …”

Section: Results and Analysissupporting

confidence: 94%

“…The difficulty lies in the fact that both fiber transformation and orientation and interface evolution must be considered simultaneously. Yang et al . proposed a viscoelastic‐Newtonian model for the mold‐filling process, in which the dynamic behaviors and the interface of fiber‐reinforced composites during the mold‐filling process can be captured at each time step.…”

Section: Introductionmentioning

confidence: 99%

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Modeling and simulation of fiber‐reinforced polymer mold‐filling with phase change

Wang

Yang

2015

J of Applied Polymer Sci

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A gas-solid-liquid three-phase model for the simulation of fiber-reinforced composites mold-filling with phase change is established. The influence of fluid flow on the fibers is described by Newton's law of motion, and the influence of fibers on fluid flow is described by the momentum exchange source term in the model. A revised enthalpy method that can be used for both the melt and air in the mold cavity is proposed to describe the phase change during the mold-filling. The finite-volume method on a nonstaggered grid coupled with a level set method for viscoelastic-Newtonian fluid flow is used to solve the model. The "frozen skin" layers are simulated successfully. Information regarding the fiber transformation and orientation is obtained in the mold-filling process. The results show that fibers in the cavity are divided into five layers during the mold-filling process, which is in accordance with experimental studies. Fibers have disturbance on these physical quantities, and the disturbance increases as the slenderness ratio increases. During mold-filling process with two injection inlets, fiber orientation around the weld line area is in accordance with the experimental results. At the same time, single fiber's trajectory in the cavity, and physical quantities such as velocity, pressure, temperature, and stresses distributions in the cavity at end of mold-filling process are also obtained.

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Section: Results and Analysissupporting

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Modeling and simulation of fiber‐reinforced polymer mold‐filling with phase change

Wang

Yang

2015

J of Applied Polymer Sci

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“…In this study, the single equation version of the XPP model in multi‐mode form28, 29 was used. The constitutive equation for the XPP model is where λ 0 b is the orientation relaxation time, I is the unit tensor, D is the rate of deformation tensor [ ${\bf D} = {1 \over 2}( {\nabla {\bf u} + ( {\nabla {\bf u}} )^T } )$ ], G 0 is the linear relaxation modulus, α is the anisotropy parameter, the symbol “∇” represents the following upper‐convected derivative and the function f (λ, $ {\bf \tau} $ ) is given by where λ 0 s is the backbone stretch relaxation time, ν is inversely proportional to the number of arms ( q ), ν = 2/ q , tr(·) is the trace of tensor and λ is the backbone stretch and the expression is related to $ {\bf \tau} $ as follows in the XPP model Thus, the polymeric tensor ${\bf \tau}$ is defined by eqs.…”

Section: Mathematical Modelmentioning

confidence: 99%

Simulations of a full three‐dimensional packing process and flow‐induced stresses in injection molding

Ouyang

et al. 2012

J of Applied Polymer Sci

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Numerical investigations of a full threedimensional (3D) packing process and flow-induced stresses are presented. The model was constructed on the basis of a 3D nonisothermal weakly compressible viscoelastic flow model combined with extended pom-pom (XPP) constitutive and Tait state equations. A hybrid finite element method (FEM)-finite volume method (FVM) is proposed for solving this model. The momentum equations were solved by the FEM, in which a discrete elastic viscous stress split scheme was used to overcome the elastic stress instability, and an implicit scheme of iterative weakly compressible Crank-Nicolson-based split scheme was used to avoid the Ladyshenskaya-Babuška-Brezzi condition. The energy and XPP equations were solved by the FVM, in which an upwind scheme was used for the strongly convection-dominated problem of the energy equation. Subsequently, the validity of the proposed method was verified by the benchmark problem, and a full 3D packing process and flow-induced stresses were simulated. The pressure and stresses distributions were studied in the packing process and were in agreement with the results of the literature and experiments in tendency. We particularly focused on the effects of the elasticity and pressure on the flow-induced stresses. The numerical results show that normal stress differences decreased with incremental Weissenberg number and increased with incremental holding pressure. The research results had a certain reference value for improving the properties of products in actual production processes. V C 2012 Wiley Periodicals, Inc. J Polym Sci 126: 1532-1545, 2012 Appl

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“…The level set method is a very effective method for coping with complex topological changes that occurs in free surface evolution. This method was used by Yang et al to capture the moving interface in the mould filling process. The level set method was also used by Li et al to capture the moving interface in gas‐assisted injection moulding.…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional modelling and simulation of sequential co‐injection moulding with application to a toothbrush handle

Liu

Ouyang

et al. 2016

Can J Chem Eng

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Sequential co‐injection moulding (SCIM) is a promising technique in industrial production. Because of the complex hydrodynamic effect of air on polymer melts in a moulding process, it is difficult to accurately design and control the process. Corresponding theoretical investigations are very limited, especially for the transient free surface flows in the filling stage. In this paper, a three‐dimensional (3‐D) unified model is proposed for simulating fluids flow in SCIM. The melted polymer and air in the cavity can be regarded as a continuous fluid. The evolution of the melt front interface and skin/core melt interface are captured simultaneously at any moment by the level set method; this method has been widely‐used in two‐phase flow for its ability to track interfaces. The finite volume method is combined with a domain extension technique to deal with 3‐D flows in an irregular cavity. The model is validated by simulating the SCIM process for a cavity with a block insert, and a distinct corner effect is observed. For a widely‐used plastic toothbrush made by SCIM, the evolutions of transient free surfaces in the filling stage are investigated. All numerical results are consistent with corresponding experimental results, and demonstrate the capability of the model with the domain extension technique to simulate multiphase flows in SCIM.

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Modeling and simulation of the viscoelastic fluid mold filling process by level set method

Cited by 24 publications

References 38 publications

Modeling and simulation of fiber‐reinforced polymer mold‐filling with phase change

Modeling and simulation of fiber‐reinforced polymer mold‐filling with phase change

Simulations of a full three‐dimensional packing process and flow‐induced stresses in injection molding

Three‐dimensional modelling and simulation of sequential co‐injection moulding with application to a toothbrush handle

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