One-dimensional analytical approach to modelling evaporation and heating of deformed drops

•A 1-D analytical model for deformed drop evaporation is proposed.•The model calculates the evaporation rate for general ellipsoidal drops.•The local vapour and heat fluxes are calculated for these classes of drop shapes.•A relation of the local vapour flux with the surface Gaussian curvature is found.•A comparative analysis is reported for various drop shapes. A general analytical solution for the steady-state evaporation from deformed liquid drops is proposed. The solution is applicable to classes of drop shapes for which 1-D solution exists. The method is used to find the evaporation rate and local vapour and heat fluxes for general ellipsoidal drops, extending previous available results on spheroids. A direct dependence of the local vapour flux on the surface Gaussian curvature is evidenced. A quantitative evaluation of the effect of drop deformation on the total evaporation rate and the local vapour flux is reported.