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Flows with Slip of Oldroyd-B Fluids over a Moving Plate

Author

Listed:
  • Abdul Shakeel
  • Sohail Ahmad
  • Hamid Khan
  • Nehad Ali Shah
  • Sami Ul Haq

Abstract

A general investigation has been made and analytic solutions are provided corresponding to the flows of an Oldroyd-B fluid, under the consideration of slip condition at the boundary. The fluid motion is generated by the flat plate which has a translational motion in its plane with a time-dependent velocity. The adequate integral transform approach is employed to find analytic solutions for the velocity field. Solutions for the flows corresponding to Maxwell fluid, second-grade fluid, and Newtonian fluid are also determined in both cases, namely, flows with slip on the boundary and flows with no slip on the boundary, respectively. Some of our results were compared with other results from the literature. The effects of several emerging dimensionless and pertinent parameters on the fluid velocity have been studied theoretically as well as graphically in the paper.

Suggested Citation

  • Abdul Shakeel & Sohail Ahmad & Hamid Khan & Nehad Ali Shah & Sami Ul Haq, 2016. "Flows with Slip of Oldroyd-B Fluids over a Moving Plate," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-9, May.
    • Handle: RePEc:hin:jnlamp:8619634
    DOI: 10.1155/2016/8619634
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