A hybrid analytical and random-walk model has been developed to predic
t the shape of ice accreted on a horizontal cylindrical insulator due
to freezing rain. The freezing rain occurs with the temperature of the
vertically falling raindrops above the freezing point and the air tem
perature below freezing. The analytical model calculates the angular d
istribution of the water-film temperature and the location where freez
ing begins. The random-walk model predicts the accretion shape. The tw
o random-walk model parameters, the freezing probability and the shedd
ing parameter, are expressed as functions of the atmospheric condition
s. The model predicts a variety of realistic accretion shapes from cyl
indrical to icicle-like. Model verification based on comparisons with
other models and with experimental results demonstrates quantitatively
and qualitatively the credibility of this new modelling approach.