本文研究分析熱泳和電泳效應對氣膠微粒沈積於複雜波形渠道的影響，渠道的幾何模型為上下對稱的複雜波形壁面，壁面由兩個正弦波合成，分別為基本頻波與相差兩倍頻率的諧波構成，系統流場為二維、不可壓縮及穩態之層流，此外，微粒沈積的傳輸機制則耦合對流、重力沈降、布朗擴散、熱泳及電泳效應，本文將以座標轉換理論推導統制方程式，將不規則邊界展開成一規則的計算平面，並利用三次樣線交換方向定置法(SADI；Spline Alternating-Direction Implicit Method)求得數值解。
數值結果顯示複雜波形壁面促進了壁面附近的流體流動使熱傳遞過程更有效率，但整體的沉積效率卻略小於平板壁面的沉積效率，熱泳及電泳效應可增強粒子的沉積效應，電場強度越大沉積效率越高，而熱泳效應對大尺寸粒子的影響較顯著，設定上下壁面等溫且為高溫進口流體時，可藉熱泳效應得到較好的粒子沉積效果。

The effects of thermophoresis and electrophoresis on aerosol particle deposition in a complex-wavy wall channel has been investigate. The geometry model of the channel is an asymmetric complex wall , whose surface is described by two sinusoidal functions, a fundamental wave and its first harmonic wave. The flow is modeled as a two-dimensional
,incompressible and steady-state laminar forced convective flow. Moreover, the transport mechanisms of particle deposition by convection, sedimentation, Brownian diffusion, thermophoresis and electrophoresis are coupled. The governing equations are derived with the theory of coordinate transformation. The transformed governing equations can expand the irregular boundary into a calculable regular plane, and then solve it by using the spline alternating-direction implicit method (SADI). Numerical result show that a complex-wall has the capability to promote a correspondingly complicated fluid motion near the surface, which makes more efficient in heat transfer. However, the particle deposition efficiency of the wavy surface would be smaller than the flat surface. The effects of thermophoresis and electrophoresis would increase the particle deposition. The efficiency would be higher with a large electric field intensity. The thermophoretic effect of large-size particles is more significant. Higher particle deposition efficiency would be found when setting the system with high inlet flow temperature and fixed wall temperature.

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