Transient free convective flow of a micropolar fluid between two vertical walls

The aim of this paper is to present numerically the transport mechanism of an incompressible microp-olar uid between two vertical walls when the motion occurs due to the buoyancy force. The governing equations in non-dimensional form are solved numerically using the Matlab software. The obtained numerical solutions for the velocity and micro-rotation proles are displayed using the graphs for various values of the vortex viscosity parameter and material parameter. It is found that the material parameter has retarding eect on the velocity of micropolar uid and to make the ow steady state earlier for both thermal conditions. The eect of the vortex viscosity parameter is to decrease the steady state time of the velocity and micro-rotation.