Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (8): 969-978.doi: https://doi.org/10.1007/s10483-010-1332-6

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Effects of induced magnetic field on peristaltic flow of Johnson-Segalman fluid in a vertical symmetric channel

 S.NADEEM, N.S.AKBAR   

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
  • 收稿日期:2009-10-29 修回日期:2010-02-18 出版日期:2010-07-23 发布日期:2010-08-01

Effects of induced magnetic field on peristaltic flow of Johnson-Segalman fluid in a vertical symmetric channel

 S.NADEEM, N.S.AKBAR   

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan  
  • Received:2009-10-29 Revised:2010-02-18 Online:2010-07-23 Published:2010-08-01

摘要: In this paper, the influence of heat transfer and induced magnetic field on peristaltic flow of a Johnson-Segalman fluid is studied. The purpose of the present investigation is to study the effects of induced magnetic field on the peristaltic flow of non-Newtonian fluid. The two-dimensional equations of a Johnson-Segalman fluid are simplified by assuming a long wavelength and a low Reynolds number. The obtained equations are solved for the stream function, magnetic force function, and axial pressure gradient by using a regular perturbation method. The expressions for the pressure rise, temperature, induced magnetic field, pressure gradient, and stream function are sketched and interpreted for various embedded parameters.

Abstract: In this paper, the influence of heat transfer and induced magnetic field on peristaltic flow of a Johnson-Segalman fluid is studied. The purpose of the present investigation is to study the effects of induced magnetic field on the peristaltic flow of non-Newtonian fluid. The two-dimensional equations of a Johnson-Segalman fluid are simplified by assuming a long wavelength and a low Reynolds number. The obtained equations are solved for the stream function, magnetic force function, and axial pressure gradient by using a regular perturbation method. The expressions for the pressure rise, temperature, induced magnetic field, pressure gradient, and stream function are sketched and interpreted for various embedded parameters.

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