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Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (4): 469-480.doi: https://doi.org/10.1007/s10483-014-1805-8

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Peristaltic flow of couple stress fluid through uniform porous medium

 A. ALSAEDI1, N.ALI2, D.TRIPATHI3, T. HAYAT4   

  1. 1. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia;
    2. Department of Mathematics & Statistics International Islamic University, Islamabad 44000, Pakistan;
    3. Department of Applied Mathematics, IT-BHU, Varanasi 221005, India;
    4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • 收稿日期:2013-02-13 修回日期:2013-08-15 出版日期:2014-04-09 发布日期:2014-04-01
  • 通讯作者: T. HAYAT, Professor, Ph.D. E-mail:pensy t@yahoo.com

Peristaltic flow of couple stress fluid through uniform porous medium

 A. ALSAEDI1, N.ALI2, D.TRIPATHI3, T. HAYAT4   

  1. 1. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia;
    2. Department of Mathematics & Statistics International Islamic University, Islamabad 44000, Pakistan;
    3. Department of Applied Mathematics, IT-BHU, Varanasi 221005, India;
    4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • Received:2013-02-13 Revised:2013-08-15 Online:2014-04-09 Published:2014-04-01
  • Contact: T. HAYAT, Professor, Ph.D. E-mail:pensy t@yahoo.com

PDF

421

被引次数

9

摘要：

Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical analysis is presented through large wavelength and low Reynolds number. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, and stream function are calculated as a function of couple stress parameter. The essential feature of the analysis is a full description of influence of couple stress parameter and permeability parameter on the pressure, frictional force, mechanical efficiency, and trapping.

关键词: mechanical efficiency, peristalsis, trapping, porous medium, couple stress fluid

Abstract:

Investigation concerning peristaltic motion of couple stress fluid is made. An incompressible couple stress fluid occupies the porous medium. Mathematical analysis is presented through large wavelength and low Reynolds number. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, and stream function are calculated as a function of couple stress parameter. The essential feature of the analysis is a full description of influence of couple stress parameter and permeability parameter on the pressure, frictional force, mechanical efficiency, and trapping.

Key words: porous medium, mechanical efficiency, couple stress fluid, trapping, peristalsis

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