本論文主旨在應用拉凡格式法(Levenberg-Marquardt Method)搭配程式語言Fortran與套裝軟體 CFD-ACE+，探討三維反算問題於強制對流情況下的熱交換器之矩形渦流產生器形狀與角度最佳化設計之研究。
一般的工程問題利用正算求解物理量，將已知條件輸入系統模式求解，稱為正算問題(Direct Problem)。而藉由其他可測量或計算的資料，反算得到物理量，這一類的問題我們稱之為反算問題(Inverse Problem)。反算設計問題也可用於最佳化設計問題，因反算設計問題可利用目前已知的參數或物理量，對複雜的工程問題作最佳化處理。
本研究探討矩形渦流產生器之形狀與角度對於不同配置下之熱交換器鰭片溫度的影響，在不增加渦流產生器質量的條件下達到散熱能力的最佳化，發現在經過最佳化形狀參數與夾角後，交錯式排列與common-flow-up的配置下，能比其他的配置擁有更佳的散熱能力。
觀察最佳化後的流場可發現，每個渦流產生器旁邊的流場條件皆不相同，最後使渦流產生器夾角獨立變化，發現這樣可以使熱交換器之散熱能力再一次的得到提升。

A numerical analysis was carried out to study the thermal-hydraulic characteristic of a 3-D laminar heat exchanger with block type vortex generator mounted behind the tubes by utilising the Levenberg-Marquardt Method (LMM) and a commercial package CFD-ACE+. The optimisation of vortex generator geometry parameters (L&H) and span angle (θ) were investigated numerically in this study. The thesis is aim to maximise the heat dissipation rate of target area among several inlet conditions (which indicate inlet = 2 m/s 、inlet = 3 m/s and inlet = 4 m/s)and arrangements(which include common-flow-up and common-flow-down for vortex generator, in-lined and staggered for tube) .The result shows that heat exchanger will reach the best heat dissipation rate when tubes are staggered and vortex generator are settled in common-flow-up.

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