Simultaneous effects of viscoelasticity and curvature on peristaltic flow through a curved channel

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• 作者：K. Javid ; N. Ali ; M. Sajid
• 关键词：Curved channel ; Peristalsis ; Wave frame ; Modeling ; Oldroyd ; B fluid
• 刊名：Meccanica
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：51
• 期：1
• 页码：87-98
• 全文大小：796 KB
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• 作者单位：K. Javid (1)
  N. Ali (1)
  M. Sajid (2)
  
  1. Department of Mathematics and Statistics, International Islamic University, Islamabad, 44000, Pakistan
  2. Theoretical Physics Division, PINSTECH, P.O. Nilore, Islamabad, 44000, Pakistan
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Civil Engineering
  Automotive and Aerospace Engineering and Traffic
  Mechanical Engineering
  
• 出版者：Springer Netherlands
• ISSN：1572-9648

文摘

We have analyzed peristaltic flow of an Oldroyd-B fluid in a curved channel. Assuming the flow to be incompressible, laminar and two-dimensional, the governing partial differential equations are reduced under long wavelength and low Reynolds number approximations into a single nonlinear ordinary differential equation in the stream function. Matlab built-in routine bvp4c is utilized to solve this nonlinear ordinary differential equation. The solution thus obtained is used to investigate the effects of curvature of the channel and Weissenberg number on important phenomena of pumping and trapping associated with peristaltic motion. It is found that for small values of Weissenberg number, the effects of curvature are dominant. However, for large values of Weissenberg number, viscoelastic effects counteract the effects of curvature and help the flow velocity and circulating bolus of fluid to regain their symmetry. Keywords Curved channel Peristalsis Wave frame Modeling Oldroyd-B fluid