Applied Mathematics and Mechanics

, Volume 35, Issue 7, pp 821–830 | Cite as

Exact solutions for unsteady flow of second grade fluid generated by oscillating wall with transpiration

Article

Abstract

A problem of unsteady flow of a second grade fluid over flat plates with the impulsive and oscillating motion, starting from rest, and with the wall transpiration is considered. The exact solutions are derived by the Laplace transform, the perturbation techniques, and an extension of the variable separation technique together with similarity arguments. These solutions are written as the sum between the permanent solutions and the transient solutions. The variations of fluid behaviors with various physical parameters are shown graphically and analyzed. The results are validated by comparing the limiting cases of the present paper with the results of the related published articles.

Key words

Stokes’ problem second grade fluid wall transpiration oscillating wall 

Chinese Library Classification

O361 O373 

2010 Mathematics Subject Classification

76xx 76A05 76A10 83C30 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Mathematical Sciences, Faculty of ScienceUniversiti Teknologi MalaysiaSkudaiMalaysia
  2. 2.Department of Theoretical MechanicsTechnical University of IasiIasiRomania

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