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Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates

机译:分数弹性K-BKZ模型在两个平行板之间的非恒定流动

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摘要

In the present paper, we investigate the unsteady flow of a viscoelastic fluid between two parallel plates which is generated by the impulsively accelerated motion of the bottom plate. Based on the result of (Jaishankar and McKinley, 2014), the fractional K-BKZ constitutive equation is obtained from the fractional Maxwell model. Using respectively the fractional Maxwell model and fractional K-BKZ model, the unidirectional flows between two plates are simulated and compared. The velocity field and shear stress of the flows are calculated by developing efficient finite difference schemes. The results show that the fluid with the fractional Maxwell model gradually loses the viscoelasticity, but the fluid with the fractional K-BKZ model continues to preserve the viscoelasticity. The dependence of the flow velocity on various parameters of the fractional K-BKZ model is analyzed graphically.
机译:在本文中,我们研究了由底板的脉冲加速运动产生的两块平行板之间的粘弹性流体的非稳态流动。基于(Jaishankar和McKinley,2014)的结果,从分数Maxwell模型获得分数K-BKZ本构方程。分别使用分数麦克斯韦模型和分数K-BKZ模型,模拟并比较了两个板之间的单向流动。通过开发有效的有限差分方案来计算流动的速度场和剪切应力。结果表明,具有分数麦克斯韦模型的流体逐渐失去了粘弹性,但具有分数K-BKZ模型的流体继续保持了粘弹性。图形化地分析了流速对分数K-BKZ模型的各个参数的依赖性。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2017年第7期|114-127|共14页
  • 作者单位

    School of Mathematics and Physics, University of Science and Technology Beijing, 30Xueyuan Road, Haidian District, Beijing, China,School of Mechanical Engineering, University of Science and Technology Beijing, 30Xueyuan Road, Haidian District, Beijing, China,Faculty of Mathematics, Kim Il Sung University, Kumsong Street, Taesong District, Pyongyang, South Korea;

    School of Mathematics and Physics, University of Science and Technology Beijing, 30Xueyuan Road, Haidian District, Beijing, China;

    Faculty of Physics, Kim Il Sung University, Kumsong Street, Taesong District, Pyongyang, South Korea;

    Mathematical Sciences School, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, Australia;

    School of Mathematics and Physics, University of Science and Technology Beijing, 30Xueyuan Road, Haidian District, Beijing, China,School of Mechanical Engineering, University of Science and Technology Beijing, 30Xueyuan Road, Haidian District, Beijing, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Finite difference method; Fractional K-BKZ model; Fractional Maxwell model; Numerical solution; Viscoelastic fluid;

    机译:有限差分法;分数K-BKZ模型;分数麦克斯韦模型;数值解;粘弹性流体;

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