[Vakhtang]

It is necessary to determine the period of time over which the water temperature (the initial state is ice) change from minus 30 degrees Celsius to plus 36 degrees Celsius. Water (the original state is ice) is in an airtight polymeric shell (it has the form of a pillow). Together with the shell, the ice makes reciprocating movements in the process chamber. The chamber is completely filled with constantly heated water, the temperature of which is 36 degrees. As a result of the movements, the water is mixed under the shell, and outside. It is important to model close to natural mixing.

So far, I have not found examples of modeling phase transformation inside a moving object, the movement of which directly affects the speed of phase transformation (I looked at examples of solving problems in Ansys, Comsol, and FLOW-3D).

Question. What software tools will allow to simulate and carry out the calculation?

If someone is interested in a joint solution of this problem, then I suggest jointly publishing in co-authors the results of the decision in scientific journals