Three-Dimensional Flow of a Second Grade Fluid along an Infinite Horizontal Plane Wall with Periodic Suction

  • M. Shoaib Department of Mathematics & Statistics, Riphah International University, Sector I-14, Islamabad, Pakistan, Barani Institute of Management Sciences, Rehman Abad, Rawalpindi, Pakistan
  • A. M. Siddiqui Department of Mathematics, York Campus, Pennsylvania State University, York, PA 17403, USA
  • M. A. Rana Department of Mathematics & Statistics, Riphah International University, Sector I-14, Islamabad, Pakistan, Barani Institute of Management Sciences, Rehman Abad, Rawalpindi, Pakistan
  • A. Imran COMSATS Institute of Information Technology, Kamra Road, Post code 43600, Attock Pakistan.
Keywords: Differential type fluids, Three-dimensional flows, Periodic suction, Regular perturbation method, Series solutions.

Abstract

In this paper, three-dimensional flow of a second grade fluid along a horizontal infinite plate which is subjected to a transverse sinusoidal suction velocity distribution is studied. Due to variable suction velocity distribution the flow becomes three-dimensional and for constant suction the problem becomes two-dimensional. The free stream velocity is uniform and for small perturbation approximation, analytic technique is applied to obtain the expressions for velocity field and components of skin friction. The effect of second-grade parameter, Reynolds number and suction parameter on the velocity in the direction of main flow and on the stress components is investigated with the help of graphs. The existence of backflow is observed and it is noted that the Reynolds number and suction parameter are controlling parameters for the backflow.

References

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Published
2016-04-09
Section
Articles