本文利用晶格波茲曼法結合大渦流模擬方法，來模擬具障礙物之二維複雜形狀渠道的強迫熱對流特性分析，文中討論雷諾數以及障礙物對速度場和溫度場的局部影響。由於晶格波茲曼方法計算算則尚在發展中。目前研究大多集中在低雷諾數的流場分析，本文透過特殊邊界條件處理方法以及結合大渦流方法，模擬高雷諾數的二維流場，並探討其強迫熱對流特性和現象。大渦數值模擬，主要是把物理量分成大尺度以及小尺度，先求解大尺度的物理量，再建立模型來近似小尺度的擾動，亦即亞格子模型。本文採用最簡單的亞格子渦黏以及渦擴散模型，並使用Smagorinsky模式來得到渦黏及渦擴散係數，此模型在工程應用上已廣泛被接受且具有相當程度的精確度。
本文所模擬的問題，包含不同障礙物置於突擴渠道流、擴張渠道流、雙擴張渠道流以及週期性邊界渠道流，對流場和熱傳特性影響之情況。流場假設為不可壓縮流，模擬的範圍涵蓋了層流以及紊流。本文特別討論障礙物在流場中放置位置對改變流體的流動路徑，及障礙物後側形成環狀迴流區，影響下游流體流動之變化，探討增強局部區域內的熱傳強度可行性。結果顯示置有障礙物區段其摩擦係數會提升，熱對流效應也會增強。改變雷諾數及普朗特數對表面摩擦係數及紐賽數的影響結果顯示，提升雷諾數及普朗特數皆可以增加其對流熱傳之效應。適當之障礙物尺寸和置放位置對熱流特性之影響相當顯著。

This study uses the lattice Boltzmann method (LBM) to investigate the forced turbulent heat transfer phenomena in two-dimensional channel flows with complex geometrical boundaries. Because the LBM is originally developed for fluid flows at low Reynolds number, this research combines the large eddy simulation (LES) with the LBM to solve the turbulent heat transfer phenomena at high Reynolds number. The LES decomposes the turbulent flow field into large and small scale parts. The former part is solved by Navier-Stokes equation, while the later part is solved by a sub-grid scale (SGS) model. The SGS model used in this study is the convenient Smagorinsky model, which includes vortex viscous and vortex diffusive forms. The present research simulates channel flows with different geometrical boundaries, including expanded, suddenly expanded, double expanded and sinusoidal wavy boundaries. The effects of inserting obstacles in the channel on the heat transfer rate and skin-friction coefficient of the channel flows are analyzed.

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