The unsteady flow generated by an oscillating wall with transpiration

In this work, an analytical solution for the fluid behavior over flat plates with impulsive and oscillating motions, starting from rest, and with wall transpiration, is presented. The classical solution of this problem is given by Panton [7] 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. Instead, an extension of the variable separation technique is used together with similarity arguments. A non-dimensional number—the transpiration rate—is used to take into account the injection or suction of fluid at the wall. This parameter is shown to be of great influence on the proposed velocity solution.