Understanding and modeling of viscoelastic fluid flows is essential for several industrial applications. Simulations of internal viscoelastic flows as well as of viscoelastic free-surface flows are quite complex and it is necessary to utilize advanced material models. A series of free-surface viscoelastic flow simulations are performed in order to model the mechanisms associated with the flow and breakup of a polymer melt in a Micropelletization process. This method is an alternative way of producing powders with physical properties demanded in polymer processes such as sintering, rotomolding and extrusion. Micropellets are achieved by extruding a polymer melt strand through a capillary and perturbing it with a stream of hot air. This causes the development of Rayleigh disturbances that result in breakup of the strand into particles. Experimental work has demonstrated that the viscoelastic response of the extruded thread influences the breakup process. Therefore, affecting final shape and size distribution of the pellets. A free surface viscoelastic solver implemented in the OpenFOAM fluid dynamics package allows visualization of viscoelastic effects on the melt as it leaves the extrusion die and meets the stream of air. In this work the single relaxation time Corotational Maxwell Model (CRM) is applied as part of non-linear differential constitutive models. This model is able to predict shear-thinning, normal stresses and other qualitative effects. The focus is on changing the relaxation time λ; one of two variable parameters in the CRM. Simulations with four different relaxation times are performed while other material and process conditions are kept constant. When the relaxation time is short compared to the overall processing time, the polymer chains are able to relax more quickly and it can be shown that the elasticity does not have a significant effect on the flow behavior. However, if the relaxation time is longer, the polymer chains are not able to relax to a great extent and the melt seems to be more elastic. Keywords: Extrusion, Rheology, Relaxation time, OpenFOAM, Powder, Micropellets