本文利用晶格波茲曼法來模擬低雷諾數、不可壓縮、穩態下之二維渠道流場，藉著置入不同截面形狀的柱體障礙物來分析渠道中障礙物對速度場和溫度場的局部影響。並適當的設定入口的均勻流速度，以確保流場的適用性及避免太大的壓縮效應。

流體流過兩平板間的障礙物，尤其是柱體，一直是流體力學研究的重要課題，且由於此型態的流動對於在流體流動下的結構設計以及熱傳效應的影響有許多關聯，因此也是工業上應用的重要依據。

渠道中分別置入不同數量的矩形柱體障礙物、不同頂角角度的三角形柱體障礙物以及有無具旋轉效應的圓形柱體障礙物。柱體障礙物在流場中扮演擾動的角色，改變了流體的流動路線，且障礙物後側形成的環狀迴流區影響了通過之流體，因而增強局部區域內的熱傳。

同時透過適用於帶有迴流的橢圓型流動之場協同理論來驗證所得到的數值解，說明增加流場的擾動可增進流場與溫度梯度場之間的協同程度，當速度場與溫度梯度場之間的協同角越小其協同程度越好，會有較好的熱傳效果。

In this study, the lattice Boltzmann method is applied to simulate two-dimensional incompressible steady channel flow under low Reynolds number, and analyzes the local influence on velocity field and temperature field caused by inserting cylinder obstacles of different cross-section. The inlet velocity is chosen appropriately, so as to ensure the reasonable adaptation of fluid field and to avoid un-physical compressible effect.

Flow past bluff obstacles between two parallel walls, especially cylinders, have been an important topic of fluid mechanical investigations for a long time. It represents an idealization of many industrially important applications owning to the related technical problems associated with heat transfer and structural design.

The built-in obstacles in channel include square cylinder of different numbers, triangular cylinder of different vertex angle, stationary circular cylinder and rotational circular cylinder. The cylinder obstacles play the role of causing interruption within the fluid field. The direction of fluid flow toward was changed by cylinder obstacles, and the recirculation region formed behind cylinder obstacles influence the fluid pass through. As mentioned above, heat transfer was enhanced in local region.

Furthermore, the synergy principle of elliptic flow type is applied to demonstrate that the increased interruption within the fluid increases the synergistic level between the velocity field and temperature gradient field. As the intersection angle between the velocity vector and the temperature gradient vector decreased by inserting cylinder obstacles to fluid field, the results of heat transfer improved significantly.

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