Abstract: In this work, a numerical model for the calculation of the smoke generation rate of an e-cigarette is proposed. Our model accounts for the energy loss due to the evaporation of e-liquid on the surface of the atomizer and the heat released from the condensation of smoke on the walls of the external airflow channel. The evaporation rate of the e-liquid on the surface of the atomizer and the condensation rate of smoke on the walls of the airflow channel are obtained through Fick's law. The effects of atomizer shape and heating method on the smoke generation rate are investigated with the proposed model. The results show that when all surfaces of the heating section are heated, the smoke generation rates of the grooved atomizer and the cylinder atomizer are comparable to each other, being higher than that of the cuboid atomizer. However, after optimizing the heating surface arrangement, the smoke generation rate of the grooved atomizer exceeds that of the cylinder atomizer. The results of this study can provide reference for the optimization design of electronic cigarette atomizers. In addition, the modeling method and the results of this study can also serve as a reference for the optimization design of other heat-vaporizing atomizers, such as medical heat-vaporizing atomizers.