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Numerical study on viscoelastic fluid flow past a rigid body

机译:流过刚体的粘弹性流体的数值研究

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摘要

Viscoelastic non-Newtonian fluids can be achieved by adding a small amount of polymer additives to a Newtonian fluid. In this paper, numerical simulations are used to investigate the influence of such polymer additives on the behavior of flow past a circular cylinder. A numerical method is proposed that discretizes the non-linear viscoelastic system on a uniform Cartesian grid, with a penalization method to model the presence of the cylinder. The drag of the cylinder and the flow behavior under the effect of different Reynolds numbers (Re), Weissenberg numbers (Wi) and polymer viscosity ratios (ε) are studied. Numerical results show that different flow characteristics are exhibited in different parameter zones. The polymer viscosity ratio plays an important role at low Weissenberg and Reynolds numbers, but as the Reynolds and Weissenberg numbers increase, the influence of e weakens. The drag force of the cylinder is mostly affected by the Reynolds and Weissenberg numbers. At low Reynolds numbers, the drag of the cylinder and the flow fields are only affected by a large value of Wi when the elastic forces are strong. Non-trivial drag reduction occurs only when there is vortex shedding in the wake flow, whereas drag enhancement happens when the vortex shedding is inhibited.
机译:粘弹性非牛顿流体可以通过向牛顿流体中添加少量的聚合物添加剂来实现。在本文中,数值模拟用于研究此类聚合物添加剂对流经圆柱体的行为的影响。提出了一种数值方法,该方法将非线性粘弹性系统离散化在均匀的笛卡尔网格上,并采用惩罚方法对圆柱体的存在进行建模。研究了在不同雷诺数(Re),魏森伯格数(Wi)和聚合物粘度比(ε)的作用下的气缸阻力和流动行为。数值结果表明,不同的参数区表现出不同的流动特性。聚合物粘度比在低Weissenberg和Reynolds数时起重要作用,但是随着Reynolds和Weissenberg数的增加,e的影响减弱。圆柱的阻力主要受雷诺数和魏森伯格数的影响。在低雷诺数下,当弹力较强时,圆柱体的阻力和流场仅受Wi的较大值影响。仅在尾流中有涡旋脱落时才会发生非平凡的减阻,而当抑制涡旋脱落时才发生阻力增强。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2017年第2期|188-208|共21页
  • 作者

    Y.L Xiong; C.H. Bruneau; D. Yang;

  • 作者单位

    Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China,Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment, Luoyu Road 1037, Wuhan 430074, China;

    Universite de Bordeaux, Institut de Mathematiques de Bordeaux, INRIA Team MC2, CNRS UMR 5251, 351 cours de la Liberation, 33405 Talence, France;

    School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, 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

    Viscoelasticity; Non-Newtonian fluid; Numerical simulation; Penalization method;

    机译:粘弹性;非牛顿流体;数值模拟处罚方法;

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