Freezing of water in circle pipe

The task of freezing of a water in a round pipe in two dimensional problem with the free convective heat transfer is considered. Dynamics of process is investigated depending on Grasgof number. For obtaining numerical solution the method of control volume and the algorithm SIMPLER were used. The represented results are received for four Grasgof numbers: $1,55\cdot 10^6$, $1,24\cdot 10^7$, $9,89\cdot 10^7$, $3,34\cdot 10^8$. The comparative analysis is lead of solution obtained under of a convection presence and solution in which a convection neglected. All surveyed tasks are obtained without any suppositions about a possible symmetry in solution of the task. The problem on a correctness of solution of the task in half of circle is analyzed.