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

作　　者：M.ABDULHAMEED I.KHAN D.VIERU S.SHAFIE 

机构地区：[1]Department of Mathematical Sciences, Faculty of Science,Universiti Teknologi Malaysia, Skudai 81310, Malaysia [2]Department of Theoretical Mechanics, Technical University of Iasi, Iasi R-6600, Romania

出　　处：《Applied Mathematics and Mechanics(English Edition)》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)

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.

关 键 词：Stokes＇ problem second grade fluid wall transpiration oscillating wall 

分 类 号：O35[理学—流体力学]