The microploar fluid in a unsteady free convection of two dimensional rectangular porous enclosure has been examinednumerically. Thenon-dimensional coupled nonlinear partial differential equations is solved bystaggered gridbased projection method (MAC. The vertical walls of the rectangular enclosure are maintained with different temperatures while both bottom and top walls of the enclosure are considered adiabatic. The heat transfer has been studiedforinfluence of the Rayleigh number (Ra), vortex viscosity parameter (K) and Darcy parameter (Da) on fluid flow.The local Nureduces with augment of vortex viscosity parameter (K) but it enhance with rise ofDarcy number are illustrates in the results. © BEIESP.