A mathematical model for heating and evaporation of a multi-component liquid film

A new model for heating and evaporation of a multi-component liquid lm, based on the analytical solutions to the heat transfer and species diusion equations inside the lm, is suggested. The Dirichlet boundary condition is used at the wall and the Robin boundary condition is used at the lm surface for the heat transfer equation. For the species diusion equations, the Neumann boundary conditions are used at the wall, and Robin boundary conditions are used at the lm surface. The convective heat transfer coecient is assumed to be constant and the convective mass transfer coecient is inferred from the Chilton- Colburn analogy. The model is validated using the previously published experimental data for heating and evaporation of a lm composed of mixtures of isooctane/3-methylpentane (3MP). Also, it is applied to the analysis of heating and evaporation of a lm composed of a 50%/50% mixture of heptane and hexadecane in Diesel engine-like conditions.