Effects of inlet temperature and flow rate of air on the cell thermal field of an indirect internal reforming tubular solid oxide fuel cell (IIR-T-SOFC) have been examined by using a quasi-three-dimensional numerical model previously developed. In this model, multicomponent thermo-fluid fields and electric potential/current fields in the cell are simultaneously treated with consideration of reforming/electrochemical reactions. As a result, it was shown that lower air inlet temperatures reduce the overall cell temperature while larger air flow rates effectively reduce the maximum temperature and temperature gradient of the cell.