...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physics of fluids >Flow-induced resonant shear-wave instability between a viscoelastic fluid and an elastic solid
【24h】

Flow-induced resonant shear-wave instability between a viscoelastic fluid and an elastic solid

机译：在粘弹性流体和弹性固体之间的流动诱导的共振剪切波不稳定性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Linear stability analysis of plane Couette flow of a viscoelastic, upper-convected Maxwell (UCM) fluid past a deformable elastic solid is carried out in the low Reynolds number limit using both numerical and asymptotic techniques. The UCM fluid is characterized by its viscosity eta, density rho, and relaxation time tau(R), whereas the deformable solid is considered to be a linear elastic solid of shear modulus G. The asymptotic analysis is performed in the Re 1 limit, where Re = rho VR/mu is the Reynolds number, V is the top plate velocity, and R is the thickness of the fluid. Both asymptotic and numerical approaches are used to understand the effect of solid elasticity, represented by the dimensionless parameter Gamma, and fluid elasticity, characterized by the Weissenberg number W, on the growth rate of a class of modes with high frequencies (compared to the imposed shear rate, termed high-frequency Gorodtsov-Leonov, or HFGL modes) in the Re 1 limit. Here, the dimensionless groups are defined as W = tau V-R/R and Gamma = eta V/GR. The results obtained from the numerical analysis show that there is an interaction between the shear waves in the fluid and the elastic solid, which are coupled via the continuity conditions at the interface. The interaction is particularly pronounced when W = Gamma, strongly reminiscent of resonance. The resonance-induced interaction leads to shear waves in the coupled system with a decay rate of c(i) = -1/[2k(W + Gamma)]. In this case, it is not possible to differentiate the fluid and solid shear waves individually and the coupled fluid-solid system behaves as a single composite material. The leading order asymptotic analysis suggests that the growth rate of the HFGL modes is proportional to W-2 for W 1. The asymptotic analysis, up to first correction, shows an oscillating behavior of c(i) with an increase in Gamma, in agreement with the results from our numerical approach. In addition, we also carry out an asymptotic analysis
机译：使用数值和渐近技术，在低雷诺数限制中进行粘弹性，上对流的麦克斯韦（UCM）流体的平面耦合流量的线性稳定性分析。使用数值和渐近技术，在低雷诺数限制中进行变形的弹性固体。 UCM流体的特征在于其粘度Eta，密度Rho和弛豫时间tau（r），而可变形的固体被认为是剪切模量G的线性弹性固体。在RE 1限制中进行渐性分析，其中Re = Rho VR / mu是雷诺数，V是顶板速度，R是流体的厚度。渐近和数值方法都用于了解由无量纲参数γ和流体弹性表示的固体弹性的效果，其特征在于Weissenberg编号W，对具有高频率的一类模式的生长速率（与施加相比在RE 1限制中，剪切速率，称为高频Gorodtsov-Leonov或HFGL模式。这里，无量纲基团被定义为W = Tau V-R / R和伽马= ETA V / GR。从数值分析获得的结果表明，流体中的剪切波与弹性固体之间存在相互作用，其通过界面处的连续性条件耦合。当W =伽马时，相互作用特别明显，强烈让谐振激起。共振诱导的相互作用导致耦合系统中的剪切波，C（i）= -1 / [2k（w +γ）]的衰减率。在这种情况下，不可能单独地区分流体和固体剪切波，并且耦合的流体固体系统的表现为单个复合材料。领先的顺序渐近分析表明，HFGL模式的生长速率与W-2成比例。渐近分析，达到第一校正，表明C（i）随着伽马增加的振荡行为，与我们的数值方法的结果一致。此外，我们还执行渐近分析

著录项

  • 来源
    《Physics of fluids》 |2019年第8期|共14页
  • 作者

    Joshi Parag; Shankar V.;

  • 作者单位

    Indian Inst Technol Dept Chem Engn Kanpur 208016 Uttar Pradesh India;

    Indian Inst Technol Dept Chem Engn Kanpur 208016 Uttar Pradesh India;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 流体力学;
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号