本研究針對史特靈熱泵熱端熱交換器之水側鰭片進行設計與最佳化分析，旨在於相同熱交換器配置下提升出口水溫並降低水側壓降。研究首先利用中央複合式設計法(Central composite design, CCD)規劃實驗樣本，選定外鰭片直徑增加量(∆Do)、外鰭片高度(Ho)、外鰭片間距(So)及外鰭片數量(No)為設計變數，並透過數值模擬分析各組參數組合之出口水溫與水側壓降表現。
本研究固定在15 bar及1000 RPM下，建立響應曲面法(RSM)模型，並結合NSGA-II演算法進行多目標最佳化設計，最後加工製作最佳化實體進行實驗。實驗結果顯示，最佳化設計在各操作條件下的放熱率皆高於原始設計，而COP在1 bar、5 bar與6 bar操作壓力超越原始設計。工作氣體比較方面，由於氫氣具有較低的黏滯係數，可有效降低機械輸入功率，因此整體COP表現優於氦氣。此外，在Combination 3填充氫氣且填充壓力6 bar及1000 RPM的條件下，提高外部流體流量能有效增強熱交換能力，使系統COP由1.52提升至1.69，顯示外部流量對系統性能之影響。

This study utilized a central composite design to generate 25 sample groups and established a surrogate model using response surface methodology combined with Gaussian process regression. Subsequently, NSGA-II was applied to identify the design configuration with the highest outlet water temperature. After the optimized heat exchanger was fabricated, different heat exchanger combinations were experimentally compared to evaluate their performance differences. The results showed that the optimized hot-end heat exchanger, defined as Combination 1, outperformed the original design, defined as Combination 2, at 5 bar and 6 bar. Furthermore, Combination 3, which combines the optimized hot-end heat exchanger with the best-performing cold-end configuration available in the laboratory, achieved a higher COP than Combination 1. Among the tested conditions, Combination 3 exhibited the best performance at 5 bar and 1000 rpm, with a coefficient of performance reaching 1.69.

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