On the origin of viscoelastic Taylor-Couette instability resulted from normal stress differences

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• 作者：M. Norouzi (1)
  M. H. Sedaghat (1)
  M. M. Shahmardan (1)
  M. R. H. Nobari (2)
  
  1. Department of Mechanical Engineering ; Shahrood University of Technology ; Shahrood ; Iran
  2. Department of Mechanical Engineering ; Amirkabir University of Technology ; Tehran ; Iran
  
• 关键词：Taylor ; Couette instability ; viscoelastic fluid ; normal stress differences ; rotating cylinders ; secondary flows
• 刊名：Korea-Australia Rheology Journal
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：27
• 期：1
• 页码：41-53
• 全文大小：1,786 KB
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• 刊物类别：Chemistry and Materials Science
• 刊物主题：Mechanical Engineering
  Polymer Sciences
  Characterization and Evaluation of Materials
  Soft and Granular Matter, Complex Fluids and Microfluidics
  Food Sciences
  
• 出版者：The Korean Society of Rheology and Australian Society of Rheology, co-published with Springer
• ISSN：2093-7660

文摘

In this paper, the effect of normal stress differences on the viscoelastic Taylor-Couette instability is studied numerically. The governing equations are discretized using FTCS finite difference method on a staggered mesh based on the artificial compressibility algorithm. Using the CEF model as the constitutive equation and the Carreau-Yasuda model as the viscometric functions, the flow between rotating cylinders has been studied for a range of radius ratios, Taylor numbers and rheological properties. It is shown that increasing the first normal stress difference destabilizes the flow field while increasing the negative second normal stress difference stabilizes the flow field. The main contribution of the current study is an answer to this question: How do the first and second normal stress differences affect the stability of viscoelastic flow between rotating cylinders? For this reason, we used the order of magnitude technique to obtain a force balance relation in the core region of flow. Based on this relation and numerical simulation, the origin of viscoelastic Taylor-Couette instability resulted from normal stress differences are studied in detail. Furthermore, a two dimensional analytical solution for the main flow velocity component between finite rotating cylinders is carried out considering the end effect of stationary walls.