Constructal design for a composite structure with an “X”-shaped high conductivity channel and a “T”-shaped fin

Abstract

Based on constructal theory, a novel composite heat dissipation structure model with an “X”-shaped high conductivity channel and an exteriorly connected “T”-shaped fin within a square heat-generation body is developed. The optimal constructs with minimum maximum temperature difference are obtained through multi-variable optimization. The impacts of the ratio of high-to-low thermal conductivity and area proportion of the high conductivity channels on the optimal constructs are investigated. The research indicates that enhancing the conductivity ratio and area proportion can result in a notable reduction in the maximum temperature of square heat-generation body. For instance, when the ratio of high-to-low thermal conductivity is raised from 100 to 600, the quintic minimum dimensionless maximum temperature difference experiences a reduction of 48.08 %. Compared with one-degree-of-freedom, three-degree-of-freedom and five-degree-of-freedom optimizations, two-degree-of-freedom and four-degree-of-freedom optimizations can significantly reduce the dimensionless maximum temperature difference in the square heat-generation body. The minimum dimensionless maximum temperature difference after five-degree-of-freedom optimization is 9.44 % lower than that after one-degree-of-freedom optimization. Furthermore, when comparing the composite heat dissipation structure model made up of “arrow”-shaped high conductivity channel and exteriorly connected “T”-shaped fin, the composite heat dissipation structure model herein exhibits a significant reduction in hot spot temperature.