Phi and Psi shaped conductive routes for improved cooling in a heat generating piece

Because the cost and occupancy of high conductivity materials are the elements of major concern, searching for a better design of high conductivity pathways embedded into a heat generating body is a formidable challenge. The central goal of this paper is to show that the competition still continues. To accomplish this, two types of high conductivity pathways (inserts) with 'Phi' or 'Psi' shape are introduced. Although 'Phi' and 'Psi' shaped inserts are classified as 'tree' shaped configurations, the curled parts used in those configurations make them different with the tree-shaped configurations already mentioned in literature (such as T, H, I and X-shaped configurations). It is shown that the 'Phi' and 'Psi' configurations are superior in reducing the peak temperature of the piece. For example, numerical results show that, by utilizing the so-called configurations of conductive pathways, the maximum temperature can be reduced by 50% compared with an X-shaped pathway (the latest tree-shaped configuration introduced in literature), with the same amount of high conductivity materials.