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
  • 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

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.

2010 MSC Number: 

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