Multiscale Numerical Simulations of Branched Polymer Melt Viscoelastic Flow Based on Double‐Equation XPP Model

Xuejuan Li, Liping Zhu and Hongyun Yue

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: The double‐equation extended Pom‐Pom (DXPP) constitutive model is used to study the macro and micro thermorheological behaviors of branched polymer melt. The energy equation is deduced based on a slip tensor. The flow model is constructed based on a weakly‐compressible viscoelastic flow model combined with DXPP model, energy equation, and Tait state equation. A hybrid finite element method and finite volume method (FEM/FVM) are introduced to solve the above‐mentioned model. The distributions of viscoelastic stress, temperature, backbone orientation, and backbone stretch are given in 4 : 1 planar contraction viscoelastic flows. The effect of Pom‐Pom molecular parameters and a slip parameter on thermorheological behaviors is discussed. The numerical results show that the backbones are oriented along the direction of fluid flow in most areas and are spin‐oriented state near the wall area with stronger shear of downstream channel. And the temperature along y = −1 is little higher in entropy elastic case than one in energy elastic case. Results demonstrate good agreement with those given in the literatures.

Date: 2018
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https://doi.org/10.1155/2018/5838290

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:5838290

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