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The objective of this study is the theoretical description of the melting of non-spherical ice particles applying a spheroidal shape approximation.Due to surface tension,melted water is assumed to accumulate where the curvature of the particle is minimal.Taking into account the wettability of the solid ice,the shape evolution of the solid and liquid water is calculated using a Level-Set approach.The theory predicts the temporal evolution of the particle's water content and its melting time.A comparison with experiments yields a very good agreement between the model and experimental data of the melting of irregular ice particles.A significant improvement in comparison to the one-dimensional melting-sphere model is achieved.Also,it is shown that the composition of the melting ice of spheroidally assumed ice particles deviates significantly from the one for spherical particles resulting in a crucial impact on the icing behavior.