Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (4): 411-426.doi: https://doi.org/10.1007/s10483-012-1560-7

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Exact solutions in generalized Oldroyd-B fluid

T. HAYAT1, S. ZAIB1, S. ASGHAR2, A. A. HENDI3   

  1. 1. Department of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan;
    2. Department of Mathematics, Comsats Institute of Information Technology,Islamabad 44000, Pakistan;
    3. Department of Physics, Faculty of Science, King Saud University, P. O. Box 1846,Riyadh 11321, Saudi Arabia
  • 收稿日期:2011-05-16 修回日期:2012-01-04 出版日期:2012-04-15 发布日期:2012-04-15
  • 通讯作者: T. HAYAT, Professor, Ph.D., E-mail: pensy t@yahoo.com E-mail:pensy t@yahoo.com

Exact solutions in generalized Oldroyd-B fluid

T. HAYAT1, S. ZAIB1, S. ASGHAR2, A. A. HENDI3   

  1. 1. Department of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan;
    2. Department of Mathematics, Comsats Institute of Information Technology,Islamabad 44000, Pakistan;
    3. Department of Physics, Faculty of Science, King Saud University, P. O. Box 1846,Riyadh 11321, Saudi Arabia
  • Received:2011-05-16 Revised:2012-01-04 Online:2012-04-15 Published:2012-04-15
  • Contact: T. HAYAT, Professor, Ph.D., E-mail: pensy t@yahoo.com E-mail:pensy t@yahoo.com

摘要: This investigation deals with the influence of slip condition on the magnetohydrodynamic (MHD) and rotating flow of a generalized Oldroyd-B (G. Oldroyd-B) fluid occupying a porous space. Fractional calculus approach is used in the mathematical modeling. Three illustrative examples induced by plate oscillations and periodic pressure gradient are considered, and the exact solutions in each case are derived. Comparison is provided between the results of slip and no-slip conditions. The influence of slip is highlighted on the velocity profile by displaying graphs.

Abstract: This investigation deals with the influence of slip condition on the magnetohydrodynamic (MHD) and rotating flow of a generalized Oldroyd-B (G. Oldroyd-B) fluid occupying a porous space. Fractional calculus approach is used in the mathematical modeling. Three illustrative examples induced by plate oscillations and periodic pressure gradient are considered, and the exact solutions in each case are derived. Comparison is provided between the results of slip and no-slip conditions. The influence of slip is highlighted on the velocity profile by displaying graphs.

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