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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2024 Volume 15, Issue 1, Pages 31–40 (Mi ps438)

Mathematic Modeling

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

S. A. Amelkin

The Presidential Academy of National Economy and Public Administration, Moscow, Russia

Abstract: 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.

Key words and phrases: immersion cooling systems, radiator area, minimal dissipation processes.

UDC: 519.876.5: 62-713
BBK: 22.192.23: Ç26-046

MSC: Primary 80M50; Secondary 80A20, 41A46

Received: 07.12.2023
Accepted: 28.12.2023

DOI: 10.25209/2079-3316-2024-15-1-31-40



© Steklov Math. Inst. of RAS, 2026