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The objective of this work is the mathematical formulation of a prilling tower taking into account the solidification of the urea droplets, calculated by a shrinking unsolidified core model. The multiphase gas- liquid flow was modelled using the Eulerian-Lagrangian approach, where the turbulence was treated with the Reynolds Averaged Navier-Stokes (RANS) equations. The turbulence was modelled with the standard k-e model. The partial differential equations of the models were discretized using the finite volume method. A source code was written in C language programming and linked in the CFD software. The code consists of subroutines for solidification and the thermal coupling between the phases. A numeric simulation was conducted to analyse the physical consistency of the models and subroutines, whose results showed good agreements.