Y.V. Ogrenich


The thermal model of plate-finned heat sink is formed and described. The mathematical model of operability domain ellipsoid is created by approximating its borders. The optimization problem of heat sink mass is solved by Lagrange multipliers method. Hyperbolic model of the target function is used. The ratios for optimum mass of heat sink are found. The algorithm of heat sink design is developed. The initial approximation of standardized heat sink parameters is used. Thermal resistance is found by the numerical simulation in the systems engineering analysis. The mass and size parameters of finned and plate-finned heat sinks are compared. It is found, the optimization of finned and plate-finned heat sinks allows to reduce their weight by 2–3 times, and the volume is increased by 2 times. Optimized heat sinks have similar values of volumes; the mass of finned heat sink is less on 10 %. The using of plate-finned heat sink allows to increase the thickness of the fins on 50 % and to improve manufacturability of heat sinks elements.


plate-finned heat sink, thermal model, optimization ratio, mass minimization, mass and size characteristics.

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