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On non-linear flows with slip boundary condition

  • T. Hayat
  • Masood Khan
  • M. Ayub
Original Paper

Abstract.

The assumption that a fluid adheres to a solid boundary (‘no-slip’ boundary condition) is one of the central tenets of the Navier-Stokes theory. However, there are situations wherein this assumption does not hold. In this communication we examine the effects of slip at the wall when an Oldroyd 6-constant fluid is considered in a channel. The slip assumed depends on the shear stress at the wall. The three non-linear problems are solved using homotopy analysis method (HAM). The results for the velocity profiles are presented and discussed.

Keywords.

Slip boundary condition non-Newtonian fluid homotopy analysis method 

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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  • T. Hayat
    • 1
  • Masood Khan
    • 1
  • M. Ayub
    • 1
  1. 1.Department of MathematicsQuaid-i-Azam UniversityIslamabadPakistan

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