Analytical investigation for fluid behavior over a flat plate with oscillating motion and wall transpiration

In this paper, fluid behavior over a flat plate with oscillating motion, starting from rest and wall transpiration is presented. The classical solution of this problem is given by Panton [17] and is found to be an especial case of the solution here presented. The analytical solution is obtained without the use of any special transformations, such as Laplace or Fourier transforms. Three highly accurate and simple semi analytical methods, Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM) and Adomians Decomposition Method (ADM) are used to solve this problem. The results show the effects of suction and injection of the wall on fluid behavior and reveal that VIM, HPM and ADM are very effective and accurate in comparison with the exact solution. Anon-dimensional number is used to take in to account the injection or suction of fluid at the wall. This parameter is shown to be of great influence on the proposed velocity solution.