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

Exact solutions for unsteady flow of second grade fluid generated by oscillating wall with transpiration
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摘要 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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第7期821-830,共10页 应用数学和力学(英文版)
基金 Project supported by the Research Management Centre of Universiti Teknologi Malaysia(Nos.04H27and 4F255)
关键词 Stokes' problem second grade fluid wall transpiration oscillating wall Stokes' problem, second grade fluid, wall transpiration, oscillating wall
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参考文献11

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