Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (2): 211-224.doi: https://doi.org/10.1007/s10483-015-1906-7

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Exact solutions of MHD second Stokes flow of generalized Burgers fluid

M. KHAN, R. MALIK, A. ANJUM   

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • 收稿日期:2014-03-22 修回日期:2014-07-27 出版日期:2015-02-01 发布日期:2015-02-01
  • 通讯作者: R. MALIK E-mail:rabiamalik.qau@gmail.com

Exact solutions of MHD second Stokes flow of generalized Burgers fluid

M. KHAN, R. MALIK, A. ANJUM   

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
  • Received:2014-03-22 Revised:2014-07-27 Online:2015-02-01 Published:2015-02-01
  • Contact: R. MALIK E-mail:rabiamalik.qau@gmail.com

摘要: This work concerns with the exact solutions of magnetohydrodynamic (MHD) flow of generalized Burgers fluid describing the second Stokes problem. The modified Darcy law is taken into account. The related velocity distribution and shear stress are expressed as a combination of steady-state and transient solutions computed by means of integral transformations. The effects of various parameters on the flow field are investigated. The MHD flow results in reduction of velocity distribution and associated thickness of the boundary layer.

关键词: porous medium, magnetohydrodynamic (MHD) flow, generalized Burgers fluid, exact solution

Abstract: This work concerns with the exact solutions of magnetohydrodynamic (MHD) flow of generalized Burgers fluid describing the second Stokes problem. The modified Darcy law is taken into account. The related velocity distribution and shear stress are expressed as a combination of steady-state and transient solutions computed by means of integral transformations. The effects of various parameters on the flow field are investigated. The MHD flow results in reduction of velocity distribution and associated thickness of the boundary layer.

Key words: generalized Burgers fluid, porous medium, magnetohydrodynamic (MHD) flow, exact solution

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