This study presents a numerical investigation of the performance of Earth-Air Heat Exchanger (EAHE) systems equipped with galvanized structures surrounding the duct. Two geometric configurations (T- and Y-shaped) are evaluated using the Constructal Design method combined with the Exhaustive Search technique. The analysis considers the EAHE thermal potential (TPEAHE) and the maximum annual efficiency (θmax), along with a multi-objective assessment based on the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), in which TPEAHE is treated as a benefit criterion and installation depth as a cost criterion. The results indicate that intermediate installation depths (between 3.7 m and 5.0 m) provide better thermal performance, while deeper configurations do not necessarily result in higher TPEAHE values. The T-shaped geometry with a balanced proportion between the vertical and horizontal branches, and the Y-shaped geometry with a branching angle of 140 degrees, exhibited superior performance, with improvements above 10% and 5%, respectively, compared to the least favorable geometries. The optimized Y-shaped configuration reached θmax = 72.0%, achieving a 66.3% gain compared to a conventional case (without galvanized material). The multi-objective analysis demonstrated that there is no universally optimal geometry, but rather a set of effective solutions that emerge depending on the priorities assigned to the system's objectives.
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