Optimal distribution of radiator area in immersion cooling systems of high-performance computing systems

The problem of minimizing the processor temperature for a given heat flow is considered. Control is the distribution of the radiator area in contact with the coolant. This problem is equivalent to the problem of minimizing the average (over coordinate) entropy production. The distribution of the thermal load and the total radiator area are the conditions of the problem. It is shown that the optimal solution ensures the minimum processor temperature in immersion liquid cooling systems of high-performance computer.