On the propagation of the non-similar wall jet flows with suction/injection

.The present work is dedicated to the analytic analysis of the non-similar wall jet flows subject to various suction/injection profiles for the 1st time. To this end, it is employed regular perturbation technique to expand the solution about the Glauert origin. We have propagated the perturbed field up to the 15th order to identify the compatibility of the technique with the problem of interest as well as to explore some important features associated with the various suction/injection profiles. In the case of suction, the maximum normalized shear stress at the wall evolves as the exponent of the suction profiles varies; afterwards, a decrease in the quantity is expected so as to eventually annihilate the entire jet. Similarly, in the injection case, the exponent of the injection profiles plays a core role in the evolution of the normalized shear stress at the wall, the universal distance in which the quantity becomes zero and the recovery of the quantity after this critical location.