The heating and evaporation of single component spherical and spheroidal (oblate and prolate) drops in gaseous quiescent environment are modelled, accounting for the effect of a non-uniform distribution of the temperature at the drop surface. The analytical solution to the species conservation equations in the proper coordinate system (spherical/spheroidal) is used to numerically solve the energy equation. The effect of temperature disuniformity on the local non-dimensional heat transfer coefficient and global heat and evaporation rates is calculated for different drop temperature disuniformity, mean surface temperature, drop deformation, gas temperature and pressure and liquid species. (C) 2018 Elsevier Ltd. All rights reserved.