本文利用Prandtl轉換理論(Prandtl’s Transposition Theorem)對原座標系統沿某一方向展開，將不規則表面轉換成一可計算平面的座標系統，數學分析從完整的Navier-Stokes方程式開始，考慮氣懸浮微粒因受溫度梯度影響所產生的熱泳(thermophoresis; thermophoresis motion)現象，經過非相似轉換(Non-similarity method)後求得的邊界層方程式則以三次樣線定置法(SADI ; Spline Alternating-Direction Implicit Method)計算，探討波形曲面相對於平板所增加的表面積對氣懸浮微粒(aerosol particles)沉積效應的影響。

　　將系統簡化後與相關文獻比較發現所得的結果相當合理，而研究結果顯示，在波形板上一個完整的波形內，沉積效應最大值會發生在波峰附近，此時波形板的沉積效率較平板好；最小值則在波谷附近，其波形板沉積效率則會低於平板，而波形板只有在第一個波表面時其平均沉積率會明顯比平板來得好，其餘之處則不甚明顯，甚至低於平板的平均沉積率，在混合對流中自然對流效應愈強的情況下，波形板才愈有可能在每一處(板前端除外)的平均沉積率都優於平板，同時在本文的研究可發現，微粒直徑小的粒子受熱泳效應的影響較小，直徑大的微粒粒子則受到熱泳效應的影響較大。

　In this study, Prandtl’s transposition theorem is used to stretch the ordinary coordinate system in certain direction. The irregular surface can be transferred into a calculable plane coordinate system. The governing equations of the system are derived from complete Navier-Stokes equations. The temperature gradient will influence aerosol particles which can cause the thermophoresis motion. The boundary layer equations deriving from non-similarity method can be solved by spline alternating-direction implicit method (SADI). There are more surface areas in wavy surface plates than flat plates so this study will figure out the deposition effect of aerosol particles causing by additional surface areas.

　There will be good agreements after simplifying the system and comparing with previous works. The numerical results show that the maximum deposition effect will happen near the peak within a complete wave. At this place, the deposition rate of wavy surface plates is better than flat plates. On the other side, the minimum deposition effect happens near the bottom of waves. There is better deposition rate in flat plates than wavy surface plates. The average deposition rate of wavy surface plates is much better than flat plates only in the first wave. It is almost equal or even worse than flat plates except the first wave. If there are stronger natural convection effect in mixed convections, there will be better chances cause that the average deposition rate of wavy surface plates is better than flat plates everywhere (except the beginning of plates). Otherwise, the outcome demonstrates the influence of smaller aerosol particles resulting from thermophoresis is smaller than bigger aerosol particles.

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