Polymer nanocomposites of Graphene Oxide (GO) have been known to impart enhanced mechanical behavior. While dispersing nanocomposites via conventional extrusion remains to be the quickest way producing polymer nanocomposites, attaining the desired dispersion has been a challenge. Extensional mixing elements embedded in twin-screw extruders (EME) are capable of dispersing nanocomposites in thermoplastics. EMEs generate an extension-dominated flow as opposed to kneading blocks, wherein flow is shear dominated. Polymer melt going through an EME passes through alternating converging and diverging zones. Polymer nanocomposites of 0.25 wt. % GO in Thermoplastic polyurethane (TPU) are processed in a 24 mm twin screw extruder. Four mixing elements, three EMEs with varying contraction ratios and channel length were compared with industry standard kneading block (KB) configurations. Optical microscopy followed by optical analysis processed by image J® reveals a superior dispersion with an aggressive mixing section to normal industry standard kneading element. Scanning electron microscopy (SEM) and X-ray diffraction studies were performed to qualitatively and quantitatively study the dispersion of GO in the TPU matrix. SEM images gathered on nanocomposites processed using the KB- screw configuration displayed larger GO platelets/ agglomerates, while materials processed through an aggressive EME displayed much smaller agglomerates. XRD data showed a shift of peak to lower d-spacing indicating platelets to be farther exfoliated in the case of nanocomposites processed employing the EME by comparison to those processed via aggressive KBs.