We are interested in composites in which graphene sheets (GS) are dispersed within organic oils. We observed that pristine GS agglomerate when dispersed in oils such as octane, hexane and dodecane. However, our equilibrium molecular dynamic simulations demonstrate that when the GS are functionalized on their edges with short branched hydrocarbons, they remain well dispersed within the oils for up to 100ns. Because our goal is to control the composite thermal transport by manipulating the GS self-assembly, we are conducting equilibrium and non-equilibrium molecular dynamics simulations to assess the effective interactions between GS dispersed in oils, the self-assembly of GS within oils, the structure of the fluid surrounding the GS, and the heat transfer from a GS to the surrounding matrix. Our tools are designed to understand the effect of GS size, oils molecular weight and molecular architecture on the GS dispersability and GS-oil heat transfer rate. We will discuss our results and how they could be used to design novel polymer nanocomposites.