A one-dimensional model for frost formation on a cold flat surface

An analytical model is developed for the formulation of a frost layer on a cold flat surface by considering the molecular diffusion of water, and heat generation due to the sublimation of water-vapor in the frost layer. Heat generation in the frost layer is expressed in terms of water-vapor density and the absorption coefficient. To examine the validity of the present model the results from the present model are compared with experimental data. The predictions agree with the existing experimental data.