Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (10): 1231-1240.doi: https://doi.org/10.1007/s10483-010-1356-7

• Articles • 上一篇    下一篇

Exact solution to peristaltic transport of power-law fluid in asymmetric channel with compliant walls

 T.HAYAT1,2, M.JAVED1   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia
  • 收稿日期:2010-03-18 修回日期:2010-07-12 出版日期:2010-10-01 发布日期:2010-10-01

Exact solution to peristaltic transport of power-law fluid in asymmetric channel with compliant walls

 T.HAYAT1,2, M.JAVED1   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia
  • Received:2010-03-18 Revised:2010-07-12 Online:2010-10-01 Published:2010-10-01

摘要: Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel are investigated. The rheological characteristics are characterized by the constitutive equations of a power-law fluid. Long wavelength and low Reynolds number approximations are adopted in the presentation of mathematical developments. Exact solutions are established for the stream function and velocity. The streamlines pattern and trapping are given due attention. Salient features of the key parameters entering into the present flow are displayed and important conclusions are pointed out.

Abstract: Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel are investigated. The rheological characteristics are characterized by the constitutive equations of a power-law fluid. Long wavelength and low Reynolds number approximations are adopted in the presentation of mathematical developments. Exact solutions are established for the stream function and velocity. The streamlines pattern and trapping are given due attention. Salient features of the key parameters entering into the present flow are displayed and important conclusions are pointed out.

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