The volatilization of quartz in a transferred ave plasma followed by quench and recondensation is a promising route to the production of fumed silica. In this work, an existing model of a transferred ave was modified and combined with a newly developed model of a molten silica anode to predict the behavior of a transferred are evaporator as a function of current and plasma gas flow rate. The model predicts temperature, current, and flow fields in both the plasma and anode as well as evaporation rates. Although quantitative agreement with experimental results was not possible because of insufficient property data for silica at high temperature, the results were within an older of magnitude of those measured experimentally. The model developed is useful for the design and scaleup of this type of reactor.