Improved Polymer Crystal Phase Field Model and Numerical Simulation

Binxin Yang (), Zhifeng Wang and Zhijuan Meng
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Binxin Yang: School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China
Zhifeng Wang: School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China
Zhijuan Meng: School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China

Mathematics, 2022, vol. 10, issue 17, 1-12

Abstract: The existing phase field model of polymer crystallization contains many parameters that lack actual physical meaning. Although the value of these parameters can be adjusted to obtain results consistent with the experiment, it cannot correspond to the experimental conditions. In this paper, a new phase field model is established. By adjusting the latent heat, various forms of isotactic polystyrene crystals, such as dendrites, spherulites, lamellas, etc., can be simulated. Latent heat refers to the heat absorbed or released by a substance from one phase to another and has important physical meaning during the solidification process. The finite difference method was used to solve the model, and then the data were used to visualize. The simulation results were consistent with the experiment. Numerical simulation results under pure diffusion conditions show that the newly established phase field model can qualitatively predict the polymer growth process and provide a theoretical basis for the preparation and optimization of high-performance polymers. In order to make the simulation result closer to the actual growth of the crystal, the flow velocity is added in the simulation to make the melt convection. Under forced convection, the simulated polymer crystal image is no longer symmetrical.

Keywords: phase field model; latent heat; polymer; numerical simulation; finite difference method; convection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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