A mathematical model, based on the moving boundary problem framework, is developed for predicting the growth of deposit from the cooling of multi-component wax–solvent mixtures under static conditions. The model treats the gelling or deposition process as a (partial) freezing process, in which the liquid–deposit interface temperature is held at the wax appearance temperature (WAT) of the mixture at all times. The model predictions were validated with the data reported recently, from batch cooling deposition experiments  carried out with similar mixtures. The measured temperature profile, liquid–deposit interface temperature and deposit layer growth were compared with model predictions. The predictions for the temperature profile at seven radial locations as well as the movement of the interface agreed well with the data. This study provides additional confirmation for the deposition process to be thermally driven. The modeling approach can be used for predicting the gelling behavior of a “waxy” crude oil while cooling during a pipeline shutdown.