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One screw extruders with barrier screws, grooved feed zones and grooved melting zones were introduced to the European plastics industry in 1999. These extruders have a better melting and conveying ability among other advantages, like a lower melt less be dressed in, temperature, less energy usage and less torque. The aim of this paper would be to present a mathematical model for predicting the melting cost in this sort of extrusion system. Based on the classical melting mechanism seen in conventional extruders, it was possible to review the effect of the geometry of the grooved barrel on the melting price of a polymer. It was found that the grooves on the mixer extruder barrel notably increase the melting rate, when compared to conventional solitary screw extruders. An excellent arrangement between theory and experimental info was found.