Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (12): 1481-1494.doi: https://doi.org/10.1007/s10483-013-1761-7

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Hydromagnetic rotating flow of third grade fluid

T. HAYAT1,2  R. NAZ1  A.ALSAEDI2  M. M. RASHIDI3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, King Abdulaziz University, Jeddah 21436, Saudi Arabia;
    3. Geni Mecanique, Universite de Sherbrooke, Sherbrooke, Quebec 5119, Canada
  • 收稿日期:2013-01-05 修回日期:2013-07-05 出版日期:2013-11-29 发布日期:2013-11-29

Hydromagnetic rotating flow of third grade fluid

T. HAYAT1,2  R. NAZ1  A.ALSAEDI2  M. M. RASHIDI3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, King Abdulaziz University, Jeddah 21436, Saudi Arabia;
    3. Geni Mecanique, Universite de Sherbrooke, Sherbrooke, Quebec 5119, Canada
  • Received:2013-01-05 Revised:2013-07-05 Online:2013-11-29 Published:2013-11-29

摘要:

This work investigates the flow of a third grade fluid in a rotating frame of reference. The fluid is incompressible and magnetohydrodynamic (MHD). The flow is bounded between two porous plates, the lower of which is shrinking linearly. Mathematical modelling of the considered flow leads to a nonlinear problem. The solution of this nonlinear problem is computed by the homotopy analysis method (HAM). Graphs are presented to demonstrate the effect of several emerging parameters, which clearly describe the flow characteristics.

关键词: magnetohydrodynamic (MHD) flow, third grade fluid, shrinking sheet, rotating frame

Abstract:

This work investigates the flow of a third grade fluid in a rotating frame of reference. The fluid is incompressible and magnetohydrodynamic (MHD). The flow is bounded between two porous plates, the lower of which is shrinking linearly. Mathematical modelling of the considered flow leads to a nonlinear problem. The solution of this nonlinear problem is computed by the homotopy analysis method (HAM). Graphs are presented to demonstrate the effect of several emerging parameters, which clearly describe the flow characteristics.

Key words: magnetohydrodynamic (MHD) flow, third grade fluid, null, shrinking sheet, rotating frame

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