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Space fractional-order modeling for the sintering process of metal fibers via Lattice Boltzmann method

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  • Dai, Houping
  • Feng, Yingxin
  • Wei, Xuedan
  • Chen, Dongdong
  • Zheng, Zhoushun
  • Wang, Jianzhong

Abstract

Considering the abnormal diffusion phenomena in the forming process of the sintered junction of metal fibers, a spatial fraction-order differential model is proposed based on the geometrical model and the integer-order differential model in this work. Lattice Boltzmann method(LBM) is applied to numerically analyze the established fractional model. And the growth process of sintered junctions dominated by surface diffusion mechanism at different fiber angles and sections is characterized by numerical simulation. Besides, the effects of fractional order, diffusion coefficient, and skewing parameters on the sintered process of metal fibers are presented and discussed. The developed model is valid by comparing the outcomes of numerical simulations with those obtained from the scanning electron microscope(SEM). It is also demonstrated that the fraction-order model can accurately depict the sintering process of metal fibers, and the anisotropy of metal bars can be characterized via the proposed model during sintering.

Suggested Citation

  • Dai, Houping & Feng, Yingxin & Wei, Xuedan & Chen, Dongdong & Zheng, Zhoushun & Wang, Jianzhong, 2023. "Space fractional-order modeling for the sintering process of metal fibers via Lattice Boltzmann method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 373-387.
    • Handle: RePEc:eee:matcom:v:214:y:2023:i:c:p:373-387
    DOI: 10.1016/j.matcom.2023.07.019
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    References listed on IDEAS

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    1. Atangana, Abdon & Qureshi, Sania, 2019. "Modeling attractors of chaotic dynamical systems with fractal–fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 320-337.
    2. Li, Qiang & Zhang, Tong & Yuan, Jinyun, 2020. "Numerical simulation of polymer crystal growth under flow field using a coupled phase-field and lattice Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 387(C).
    3. Du, Rui & Sun, Dongke & Shi, Baochang & Chai, Zhenhua, 2019. "Lattice Boltzmann model for time sub-diffusion equation in Caputo sense," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 80-90.
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