Gas-phase reaction rates are considerably higher than liquid vaporization rates under high-temperature conditions. Consequently, liquid-component evaporation is the rate controlling process in most spray combustion applications, ranging from gas turbines to common oil furnaces and large-scale thermal incinerators. The transport phenomena in dilute spray configurations provide important insight into more realistic dense spray applications. As a result, a large body of work has been dedicated to the evaporation dynamics of individual droplets. A Navier-Stokes computer model is presented for the analysis of the unsteady, multiphase, multicomponent fields relevant to liquid-fuel droplet evaporation in a high-temperature, laminar (Re=100), convective environment. Specific points addressed are the internal circulation within droplets, the effects of rotation on fuel evaporation rates, the influence of thermocapillary convection, etc. In addition, some comparisons with experimental measurements are presented.