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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (10): 1231-1244.doi: https://doi.org/10.1007/s10483-011-1496-7

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Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube

 D. TRIPATHI, N.ALI, T. HAYAT, M. K. CHAUBE, A. A. HENDI   

  1. 1. Birla Institute of Technology and Science, Pilani Hyderabad Campus, Hyderabad 500078, India;
    2. Department of Mathematics and Statistics, International Islamic University, Islamabad 46000, Pakistan;
    3. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    4. Department of Physics, Faculty of Science, King Saud University, P. O. Box 1846, Riyadh 11320, Saudi Arabia;
    5. Department of Applied Mathematics, IT-BHU, Varanasi 221005, India
  • 收稿日期:2011-01-14 修回日期:2011-05-14 出版日期:2011-10-09 发布日期:2011-10-09

Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube

 D. TRIPATHI, N.ALI, T. HAYAT, M. K. CHAUBE, A. A. HENDI   

  1. 1. Birla Institute of Technology and Science, Pilani Hyderabad Campus, Hyderabad 500078, India;
    2. Department of Mathematics and Statistics, International Islamic University, Islamabad 46000, Pakistan;
    3. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    4. Department of Physics, Faculty of Science, King Saud University, P. O. Box 1846, Riyadh 11320, Saudi Arabia;
    5. Department of Applied Mathematics, IT-BHU, Varanasi 221005, India
  • Received:2011-01-14 Revised:2011-05-14 Online:2011-10-09 Published:2011-10-09

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950

被引次数

21

摘要：

The present investigation studies the peristaltic flow of the Jeffrey fluid through a tube of finite length. The fluid is electrically conducting in the presence of an applied magnetic field. Analysis is carried out under the assumption of long wavelength and low Reynolds number approximations. Expressions of the pressure gradient, volume flow rate, average volume flow rate, and local wall shear stress are obtained. The effects of relaxation time, retardation time, Hartman number on pressure, local wall shear stress, and mechanical efficiency of peristaltic pump are studied. The reflux phenomenon is also investigated. The case of propagation of a non-integral number of waves along the tube walls, which are inherent characteristics of finite length vessels, is also examined.

Abstract:

The present investigation studies the peristaltic flow of the Jeffrey fluid through a tube of finite length. The fluid is electrically conducting in the presence of an applied magnetic field. Analysis is carried out under the assumption of long wavelength and low Reynolds number approximations. Expressions of the pressure gradient, volume flow rate, average volume flow rate, and local wall shear stress are obtained. The effects of relaxation time, retardation time, Hartman number on pressure, local wall shear stress, and mechanical efficiency of peristaltic pump are studied. The reflux phenomenon is also investigated. The case of propagation of a non-integral number of waves along the tube walls, which are inherent characteristics of finite length vessels, is also examined.

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