Abstract
A constructal multi-scale design approach is examined for micro-tube heat sinks and heat exchangers. Heat transfer per unit volume is increased by considering the use of additional micro-tubes placed in the intersticial regions of a circular tube array. Three constructs are considered in the proposed analysis. As the system complexity increases, the heat transfer rate increases, and exceeds the theoretical value for a volume of similar size, composed of parallel plates. Approximate solutions for the diameter of the principal construct are obtained for each case using Bejan's intersection of asymptotes method. Exact analytical methods are applied to determine the relative increase in heat dissipation per unit volume as compared with systems containing parallel plates.
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