Abstract
An analytical investigation is carried out to study the unsteady free convection stream of micropolar fluids over an oscillating vertical plate. Wall couple stress is promised at the bounding plate with isothermal temperature. Problem is displayed in terms of combined partial differential equations together with certain physical conditions and then written in non-dimensional form. Exact solutions are achieved using the Laplace transform technique. Analytical results of velocity, microrotation and temperature are plotted in graphs and debated for different inserted parameters. Excellent validation of present results is acquired with existing results in literature. It is observed that, the velocity is smaller for micropolar fluids than for Newtonian fluids.