Exact solutions for unsteady flow of second grade fluid generated by oscillating wall with transpiration
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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 wordsStokes’ problem second grade fluid wall transpiration oscillating wall
Chinese Library ClassificationO361 O373
2010 Mathematics Subject Classification76xx 76A05 76A10 83C30
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