氣膠系統為分散相的固體微粒或液滴懸浮於氣體連續相環境中所構成的系統。當氣膠粒子存在於一溫度分佈不平均之氣相環境中時，氣膠粒子受溫度梯度的驅使會由高溫處往低溫處移動，此種運動現象稱之為熱泳(thermophoresis; thermophoretic motion)。氣膠粒子於氣膠懸浮系統中進行熱泳時，粒子與周圍環境的邊界會產生交互作用，使得粒子的緩流及熱泳運動將有別於僅單一粒子存在時的情形。本論文係採用數值技巧，分別探討單一球形氣膠粒子在任意的均勻溫度分佈場中，受到不同邊界型態影響之緩流及熱泳運動行為。氣膠粒子與不同型態邊界，可以呈任意相對位置懸浮、相對大小可任意變化、可以有任意的物理及表面性質。在低Reynold數及低Peclet數的假設下，動量傳遞及熱傳的對流效應可以忽略，所以主導氣膠系統中流體速度及溫度分佈之主導方程式可以簡化成Stokes方程式、連續方程式、以及Laplace方程式。藉由使用邊界取點法的技巧，氣膠粒子緩流移動、轉動、以及熱泳運動的速度可以被精確地求解出來。結果顯示，在邊界存在的情形下，氣膠粒子的緩流及熱泳運動行為受到邊界效應的影響相當明顯，尤其是當氣膠粒子相當趨近於邊界的情況下。此外，當氣膠粒子與邊界處於不對稱的相對位置時，衍生出的轉動及移動速度將會發生。

Dispersed solid particles or liquid drops suspended in a gaseous continuum are called aerosol particles. The phenomenon that aerosol particles will be driven to move toward lower temperature regions, when placed in a gaseous medium with temperature gradient, is known as thermophoresis (thermophoretic motion). Aerosol particles may interact with surrounding boundaries so that their kinetic behavior will differ from that in the absence of boundaries. In this thesis the numerical results of creeping and thermophoretic motions of a single spherical aerosol particle in the vicinity of different shape of boundaries are presented. The aerosol particle and the boundary, which can be located at arbitrarily relative position, can have arbitrary dimensions, and physical and surface properties. Under the assumption of low Reynolds and Peclet numbers, the convective momentum and heat transfer terms can be neglected so that the governing equations of the velocity and temperature distributions of the fluid can be reduced to Stokes, continuity, and Laplace equations. By the use of boundary collocation technique, the numerical results of the translational, rotational, and thermophoretic velocities can be accurately outputed. The results show that under the presence of boundaries, the creeping and thermophoretic motion of the aerosol particle will be pronounced affected, and boundary effect will be more significant if the aerosol particle is located closer to the boundaries. Moreover, an induced translational or rotational velocity of the aerosol particle will be produced when the aerosol particle is located at asymmetric positions.

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