Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (3): 289-302.doi: https://doi.org/10.1007/s10483-012-1550-9

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Three-dimensional channel flow of second grade fluid in rotating frame

 S. HUSSNAIN1 A. MEHMOOD2 A.ALI1   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;
    2. Department of Mathematics, International Islamic University, Islamabad, Pakistan
  • 收稿日期:2010-10-18 修回日期:2011-12-05 出版日期:2012-03-02 发布日期:2012-03-01

Three-dimensional channel flow of second grade fluid in rotating frame

 S. HUSSNAIN1 A. MEHMOOD2 A.ALI1   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;
    2. Department of Mathematics, International Islamic University, Islamabad, Pakistan
  • Received:2010-10-18 Revised:2011-12-05 Online:2012-03-02 Published:2012-03-01

摘要: An analysis is performed for the hydromagnetic second grade fluid flow between two horizontal plates in a rotating system in the presence of a magnetic field. The lower sheet is considered to be a stretching sheet, and the upper sheet is a porous solid plate. By suitable transformations, the equations of conservation of mass and momentum are reduced to a system of coupled non-linear ordinary differential equations. A series of solutions to this coupled non-linear system are obtained by a powerful analytic technique, i.e., the homotopy analysis method (HAM). The results are presented with graphs. The effects of non-dimensional parameters R, λ,M2, α, and K2 on the velocity field are discussed in detail.

Abstract: An analysis is performed for the hydromagnetic second grade fluid flow between two horizontal plates in a rotating system in the presence of a magnetic field. The lower sheet is considered to be a stretching sheet, and the upper sheet is a porous solid plate. By suitable transformations, the equations of conservation of mass and momentum are reduced to a system of coupled non-linear ordinary differential equations. A series of solutions to this coupled non-linear system are obtained by a powerful analytic technique, i.e., the homotopy analysis method (HAM). The results are presented with graphs. The effects of non-dimensional parameters R, λ,M2, α, and K2 on the velocity field are discussed in detail.

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